[{"data":1,"prerenderedAt":909},["ShallowReactive",2],{"layer:government-india:investigate":3},{"layer":4,"contentHash":885,"dependencyHashes":886,"approval":902,"releaseId":908},{"schemaVersion":5,"conceptId":6,"locale":7,"depth":8,"revision":5,"title":9,"subtitle":10,"summary":11,"objectives":12,"estimatedMinutes":17,"plate":18,"blocks":39,"sourceIds":880,"reviewStatus":881,"authoring":882},1,"government-india","en","investigate","Test it yourself: does the arithmetic hold up?","Seat share against vote share, real turnout data, and edge cases in how a bill becomes an Act","Put the rules from Understand under pressure: work through seat-versus-vote-share examples, test what happens when the two Houses disagree over a money bill, analyse real turnout data with mean, median and range, and sort everyday problems by the level of government actually responsible.",[13,14,15,16],"Compute seat share and vote share for a set of constituency results and explain any gap between them.","Predict what happens when the Rajya Sabha rejects, ignores, or amends a money bill.","Find the mean, median and range of a real turnout data set and interpret them.","Decide which level of government — local, State or Union — is responsible for a given everyday problem.",35,{"title":19,"rows":20},"Lesson plate",[21,24,27,30,33,36],{"label":22,"value":23},"Depth","Investigate",{"label":25,"value":26},"Reading time","≈ 35 minutes",{"label":28,"value":29},"Prior knowledge","Understand: bills, money bills, the three lists",{"label":31,"value":32},"Chapters","8",{"label":34,"value":35},"Labs","Data lab ×3, bill\u002Felection, level sort, match",{"label":37,"value":38},"Key numbers","turnout mean 58.8% · range 21.96 pts",[40,44,50,53,71,83,96,131,137,142,145,156,161,172,176,190,220,224,262,267,270,283,296,309,314,317,378,422,432,437,447,452,455,466,470,483,487,492,495,519,532,551,557,562,565,635,648,667,672,675,686,691,695,700,704,707,737,771,850,854,868],{"id":41,"type":42,"markdown":43},"intro-investigate","prose","You now know the parts and how they are meant to fit together. This lesson tests that knowledge\nagainst real arithmetic and awkward \"what if\" questions: what if the two Houses disagree? What if a\ngovernment loses its majority mid-term? Does a party's share of the seats always match its share of\nthe votes? Bring a calculator's worth of curiosity — every claim here is something you can check for\nyourself.",{"id":45,"type":46,"title":47,"eyebrow":48,"navLabel":49},"ch01","chapter","Is it always true? Seats vs votes","Chapter 01","1 Seats vs votes",{"id":51,"type":42,"markdown":52},"seat-vote-intro","Here is a claim worth testing hard: **a party that wins more votes than anyone else should win more\nseats than anyone else, roughly in proportion.** Sounds fair. Is it actually how first-past-the-post\nbehaves? Let's build test cases and see where the claim survives and where it breaks.",{"id":54,"type":55,"prompt":56,"options":57,"explanation":70},"predict-uniform","prediction","Picture 10 identical constituencies. In every single one, Party A gets\n40% of the vote, Party B gets 35% and Party C gets 25% — exactly the same split, ten times over. How\nmany of the 10 seats does each party win?",[58,61,64,67],{"id":59,"label":60},"a","A wins 4, B wins 3.5, C wins 2.5",{"id":62,"label":63},"b","A wins all 10, B and C win 0",{"id":65,"label":66},"c","Each wins roughly a third",{"id":68,"label":69},"d","It depends on the total population","**b.** In first-past-the-post, the *only* thing that matters in each constituency is who has\nthe most votes there. A is ahead in every single one of these 10 identical seats, so A wins\n**10 of 10 seats — all of them** —\ndespite getting only 40.0% of the total vote across all constituencies. B and C,\nwith 35.0% and 25.0% of the vote between them, get **zero**\nseats. This is the most extreme version of the seat–vote gap, and it happens precisely because the\nsame pattern repeats in every seat.",{"id":72,"type":73,"title":74,"problem":75,"steps":76},"we-ex1","worked_example","Working through the identical-pattern example","Ten seats, each with Party A on 40,000 votes, Party B on 35,000, Party C on 25,000. Confirm\nthe seat count, the vote shares, and the seat shares.",[77,78,79,80,81,82],"Votes per seat total: 40,000 + 35,000 + 25,000 = 100,000. Across 10 seats: 1,000,000 votes cast in total.","A's total votes: 40,000 × 10 = 400,000. Vote share: 400,000 ÷ 1,000,000 × 100 = **40.0%**.","B's vote share: 350,000 ÷ 1,000,000 × 100 = **35.0%**. C's: **25.0%**.","In every one of the 10 seats, A has the most votes, so A wins every seat.","A's seat share: 10 of 10 = **100.0%**, against a vote share of only 40.0%.","Gap between seat share and vote share for A: 100.0 − 40.0 = **60.0 percentage points**.",{"id":84,"type":55,"prompt":85,"options":86,"explanation":95},"predict-narrow","Now the opposite test. Party A wins 3 seats by a whisker (51,000 to\n49,000) and loses 2 seats by a landslide (10,000 to 90,000). Which party do you think ends up with\nmore total votes, and which ends up with more seats?",[87,89,91,93],{"id":59,"label":88},"Party A gets more votes and more seats",{"id":62,"label":90},"Party A gets more seats but fewer total votes than Party B",{"id":65,"label":92},"Party B gets more seats but fewer total votes than Party A",{"id":68,"label":94},"They must finish with equal seats and equal votes","**b.** Add it up: A gets 173,000 votes in total, B gets 327,000 —\nB has nearly double A's votes. Yet A wins **3 of 5 seats** to B's\n2, because A's wins were narrow (barely over half each time) while A's losses\nwere landslides that \"wasted\" enormous numbers of extra votes B didn't need. A ends up with\n60.0% of the seats on just 34.6% of the vote.",{"id":97,"type":98,"component":99,"componentVersion":5,"config":100,"objective":125,"textAlternative":126,"help":127},"lab-data-seatvote","interactive","data-lab",{"datasets":101,"valueRange":113,"step":5,"challenges":116},[102,108],{"label":103,"values":104,"unit":107},"Party A vote share by seat (%)",[105,105,105,106,106],51,10,"%",{"label":109,"values":110,"unit":107},"Party B vote share by seat (%)",[111,111,111,112,112],49,90,{"min":114,"max":115},0,100,[117,121],{"measure":118,"target":119,"prompt":120},"mean",34.4,"Find Party A's mean vote share across the 5 seats. (It should come out well under half, even though A wins 3 of the 5 seats.)",{"measure":122,"target":123,"prompt":124},"range",41,"Find the range of Party A's vote share across the 5 seats — the gap between its best and worst result.","Explore the five-seat example from the worked problem as an editable data set, and see how a low mean vote share can still win most of the seats.","This lab loads Party A's and Party B's vote share in each of five seats as two dot plots,\nwith live mean, median, mode and range as you edit any value. Starting values match the worked\nexample: A has 51%, 51%, 51%, 10%, 10% (winning three seats narrowly, losing two heavily); B has the\ncomplements.\n\nTwo challenges: find Party A's mean vote share (well under half, despite winning most seats), and\nfind the range of A's results (the size of the gap between its narrow wins and heavy losses). Try\ndragging A's losing seats from 10% up towards 40% one at a time and watch the mean rise while the\nseat count stays exactly the same until a seat actually flips — seats change in steps, means change\nsmoothly.",{"hints":128},[129,130],"Mean = sum of all five values ÷ 5.","Range = largest value − smallest value.",{"id":132,"type":133,"variant":134,"title":135,"markdown":136},"aha-wasted-votes","callout","aha","\"Wasted\" votes, defined precisely","Every vote for a losing candidate in a constituency, and every vote for a winning\ncandidate beyond what they needed to win, is sometimes called a **wasted vote** — not because the\nvoter did anything wrong, but because it did not change who represents that seat. First-past-the-post\ndoes not try to minimise wasted votes; it only asks who is ahead, seat by seat. Systems that count\nvotes differently (not used for India's Lok Sabha or state assemblies) try to reduce this in other\nways, each with its own trade-offs.",{"id":138,"type":46,"title":139,"eyebrow":140,"navLabel":141},"ch02","A three-way split and a coalition","Chapter 02","2 More seat-vote tests",{"id":143,"type":42,"markdown":144},"threeway-intro","FPTP gets stranger still with three or more serious candidates in one seat, because \"the most votes\"\ncan be a long way from \"most people's choice\".",{"id":146,"type":73,"title":147,"problem":148,"steps":149,"help":154},"we-threecorner","Winning a seat on well under half the votes","Three candidates contest one seat. A gets 38,000 votes, B gets\n34,000, C gets 28,000. Who wins, and what share of the vote did the winner\nactually get?",[150,151,152,153],"Total votes cast: 38,000 + 34,000 + 28,000 = 100,000.","A has the most votes (38,000), so **A wins**, under first-past-the-post's one simple rule.","A's share: 38,000 ÷ 100,000 × 100 = **38.0%**.","So 100,000 − 38,000 = **62,000 people, 62.0% of all voters, voted for somebody other than the winner** — and the seat still counts as one clear win.",{"simplerExplanation":155},"The winner did not need even half the votes. Being ahead of the other two was enough.",{"id":157,"type":133,"variant":158,"title":159,"markdown":160},"nuance-not-a-flaw","nuance","Is this a flaw, or a trade-off?","It is tempting to call first-past-the-post \"wrong\" the moment you see a winner with 38%\nof the vote. Be careful: every election method has trade-offs, not just this one. FPTP is simple to\nrun and count, almost always produces a clear single winner in each seat, and tends to produce\ngovernments with working majorities even when no single party won half the national vote — which can\nmean more stable governments. Other methods reduce the seat–vote gap but can be harder to count, or\nroutinely need several parties to combine to form a government. This lesson is not telling you which\ntrade-off is better — it is showing you exactly what each one costs, in numbers you worked out\nyourself.",{"id":162,"type":73,"title":163,"problem":164,"steps":165},"we-coalition","Reaching a majority together","Four parties win 240, 20, 12 and 6\nLok Sabha seats. None has a majority alone. Can any three of them combine to govern?",[166,167,168,169,170,171],"Majority needed: 272 of 543.","A alone has 240, short of 272 by 32.","A + B = 240 + 20 = 260, still short by 12.","A + B + C = 272, still short by 0.","A + B + C + D = 278, which **clears 272 with 6 seats to spare**.","So here, all four together are needed (or some other combination that adds up to at least 272) — any three alone, in this particular split, fall short.",{"id":173,"type":174,"prompt":175},"reflect-coalition","reflection","In the worked example above, all four parties were needed to\nreach a majority together. Make up your own set of four seat totals that add to 543, where a\n*different* three of the four (not all four) can reach 272 on their own. Show the arithmetic.",{"id":177,"type":178,"itemId":179,"prompt":180,"check":181,"hints":184,"feedback":187},"prac-puzzle","practice","government-india.investigate-puzzle","Four toy constituencies return these results:\n\nSeat 1: X 4,000 · Y 3,500 · Z 3,400\nSeat 2: X 3,000 · Y 4,200 · Z 2,900\nSeat 3: X 4,500 · Y 3,000 · Z 3,100\nSeat 4: X 2,000 · Y 2,100 · Z 6,000\n\nHow many of the 4 seats does Party X win?",{"kind":182,"answer":183,"tolerance":114},"number",2,[185,186],"Work seat by seat: circle the largest number in each row.","X wins seats 1 and 3 (4,000 and 4,500 were the largest in those rows).",{"correct":188,"incorrect":189},"Correct — Party X wins **2 of 4 seats** (seats 1 and 3), Y wins 1 (seat 2) and Z wins 1 (seat 4), even though Z's single win was by the largest margin of anyone.","Check each seat's largest number. Party X has the most votes in seats 1 and 3, so X wins **2** seats.",{"id":191,"type":192,"caption":193,"columns":194,"rows":199},"table-gap-summary","table","Four toy examples, one pattern: the leading party's seat share minus its vote share",[195,196,197,198],"Example","Leading party's vote share","Leading party's seat share","Gap",[200,205,210,215],[201,202,203,204],"10 identical seats","40.0%","100.0%","+60.0 pts",[206,207,208,209],"3 narrow wins, 2 landslide losses","34.6%","60.0%","+25.4 pts",[211,212,213,214],"Three-way single seat","38.0%","100%","+62.0 pts (one seat only)",[216,217,218,219],"4-seat puzzle (Party X)","32.4%","50.0%","+17.6 pts",{"id":221,"type":133,"variant":134,"title":222,"markdown":223},"aha-always-positive","Notice the gap is always in the leading party's favour here","In every example in this table, the party that came out ahead did so with a seat share\n*higher* than its vote share. That is not a coincidence of these particular numbers — it is a general\nfeature of first-past-the-post: the leading party is disproportionately rewarded, and everyone else is\ndisproportionately squeezed. How large the effect is depends entirely on how votes happen to be spread\nacross constituencies, which is exactly why real results vary so much from one election to the\nnext.",{"id":225,"type":226,"title":227,"prompt":228,"options":229},"explore-voting-systems","explorer","Four ways the world turns votes into seats","Pick a system to see the idea behind it and the trade-off it makes.",[230,238,246,254],{"id":231,"label":232,"chain":233,"note":237},"fptp","First-past-the-post",[234,235,236],"One seat per area","Most votes there wins","Used for India's Lok Sabha","Simple to run and to count, and tends to produce a workable majority even without a majority of the national vote. Its cost is exactly what this lesson has been measuring: seat share can drift a long way from vote share.",{"id":239,"label":240,"chain":241,"note":245},"listpr","Party-list PR",[242,243,244],"Voters mostly choose a party","Seats matched to vote share","Used in many parliaments elsewhere","Seat share tracks vote share closely, which is its main selling point. The trade-off: it usually needs several parties to combine into a coalition to govern, and a voter in a large multi-member area may not have one single named local representative in the same way.",{"id":247,"label":248,"chain":249,"note":253},"runoff","Two-round run-off",[250,251,252],"Many candidates, round one","A second round if needed","Top candidates contest it","Ensures the eventual winner in a seat has support from a genuine majority of that final round's voters, at the cost of a second election and a longer count.",{"id":255,"label":256,"chain":257,"note":261},"mixed","Mixed systems",[258,259,260],"Some seats by constituency","Some seats by party list","The two parts combine","An attempt to keep a local representative for each area while also correcting the overall seat-versus-vote gap using the list portion. More complex to explain and to count than either pure system alone.",{"id":263,"type":46,"title":264,"eyebrow":265,"navLabel":266},"ch03","What if the two Houses disagree?","Chapter 03","3 Disagreement",{"id":268,"type":42,"markdown":269},"disagree-intro","Understand described the rules for when Lok Sabha and Rajya Sabha disagree. This chapter tries to\nbreak those rules on purpose, by testing edge cases, to see whether they really hold up.",{"id":271,"type":55,"prompt":272,"options":273,"explanation":282},"predict-money-ignore","The Rajya Sabha recommends changes to a money bill. The Lok Sabha\nlooks at the recommendations and rejects every single one. What happens to the bill?",[274,276,278,280],{"id":59,"label":275},"It fails, because the Rajya Sabha's view was overruled",{"id":62,"label":277},"It is sent back to the Rajya Sabha for a final vote",{"id":65,"label":279},"It is deemed passed by both Houses in the form the Lok Sabha wants",{"id":68,"label":281},"A joint sitting is called automatically","**c.** For a money bill, the Lok Sabha's word is final. If it rejects every Rajya Sabha\nrecommendation, the bill is treated as passed by both Houses in the form the Lok Sabha approved.\nThere is no override vote for the Rajya Sabha to force, and no joint sitting — that escape hatch does\nnot exist for money bills at all.",{"id":284,"type":55,"prompt":285,"options":286,"explanation":295},"predict-rs-silent","The Rajya Sabha simply does not discuss a money bill at all for\n14 days — no debate, no vote, nothing. What happens then?",[287,289,291,293],{"id":59,"label":288},"The bill is automatically rejected",{"id":62,"label":290},"The bill is deemed passed by both Houses anyway, exactly as the Lok Sabha sent it",{"id":65,"label":292},"The bill must be re-introduced next session",{"id":68,"label":294},"The President decides whether to treat it as passed","**b.** Silence does not block a money bill. If the Rajya Sabha has not returned it within\n14 days, the bill is deemed to have been passed by both Houses in the form the Lok\nSabha passed it. This is one of the clearest examples in the whole Constitution of the Lok Sabha's\nbuilt-in financial dominance.",{"id":297,"type":98,"component":298,"componentVersion":5,"config":299,"objective":304,"textAlternative":305,"help":306},"lab-bill-election","gov-structure",{"modes":300,"quizRounds":303},[301,302],"bill","election",8,"Run several bills through the process — including a money bill and a forced Rajya Sabha rejection — then switch to the election mode and test how seat counts respond to different vote splits.","Two modes in one lab session. The **bill** mode lets you flag a bill as a money bill before\nstarting, which locks out the Rajya Sabha's amendment and joint-sitting options and instead shows the\n14-day \"deemed passed\" countdown; running it as an ordinary bill and forcing a rejection instead opens\nthe joint-sitting branch, matching what you tested with predictions above.\n\nThe **election** mode lets you set up your own toy country: choose how many seats, and enter a vote\nsplit for two or three parties per seat, either uniform across all seats or varied seat by seat. It\nthen shows the seats won, the vote share and the seat share side by side, exactly like the worked\nexamples in this chapter, so you can build your own test cases beyond the ones already given.",{"hints":307},[308],"Try making every seat identical first, then try making the results as narrow as possible in the seats your party wins.",{"id":310,"type":46,"title":311,"eyebrow":312,"navLabel":313},"ch04","Reading real turnout data","Chapter 04","4 Turnout data",{"id":315,"type":42,"markdown":316},"turnout-data-intro","Discover showed you two numbers from 18 general elections: the lowest and the highest\nturnout. Now look at the whole series and practise the same summary statistics you use in\ndata-handling — mean, median, mode and range — on a real, messy, non-laboratory data set.",{"id":318,"type":192,"caption":319,"columns":320,"rows":323},"table-turnout","Lok Sabha general election turnout, 1951-52 to 2024",[321,322],"Election","Turnout",[324,327,330,333,336,339,342,345,348,351,354,357,360,363,366,369,372,375],[325,326],"1951-52","45.67%",[328,329],"1957","45.44%",[331,332],"1962","55.42%",[334,335],"1967","61.04%",[337,338],"1971","55.27%",[340,341],"1977","60.49%",[343,344],"1980","56.92%",[346,347],"1984","64.01%",[349,350],"1989","61.95%",[352,353],"1991","56.73%",[355,356],"1996","57.94%",[358,359],"1998","61.97%",[361,362],"1999","59.99%",[364,365],"2004","58.07%",[367,368],"2009","58.21%",[370,371],"2014","66.44%",[373,374],"2019","67.4%",[376,377],"2024","66.33%",{"id":379,"type":98,"component":99,"componentVersion":5,"config":380,"objective":417,"textAlternative":418,"help":419},"lab-data-turnout",{"datasets":381,"valueRange":402,"step":405,"challenges":406},[382],{"label":383,"values":384,"unit":107},"Lok Sabha turnout by election (%)",[385,386,387,388,389,390,391,392,393,394,395,393,396,397,398,399,400,401],45.7,45.4,55.4,61,55.3,60.5,56.9,64,62,56.7,57.9,60,58.1,58.2,66.4,67.4,66.3,{"min":403,"max":404},40,70,0.5,[407,410,414],{"measure":118,"target":408,"prompt":409},58.8,"Find the mean turnout across all 18 elections.",{"measure":411,"target":412,"prompt":413},"median",59.1,"Find the median turnout — the middle value once every election is sorted by turnout.",{"measure":122,"target":415,"prompt":416},21.96,"Find the range: the highest turnout minus the lowest.","Explore all 18 Lok Sabha turnout figures as a live, editable data set and compute mean, median and range yourself.","All 18 general-election turnout percentages, from 1951-52 to\n2024, load as one dot plot with live mean, median, mode and range readouts.\n\nThree challenges: find the mean (about 58.8%), the median (about 59.1%, the\naverage of the two middle values since there are an even number of elections), and the range (about\n21.96 percentage points, between the lowest, 1957 at 45.44%, and the\nhighest, 2019 at 67.4%).\n\nThen try the open-ended part: drag the dots around to invent a data set with the *same* mean as the\nreal one but a much larger or smaller range, and notice that mean alone hides a great deal about how\nbumpy the real history actually was.",{"hints":420},[421],"With 18 values (an even number), the median is the average of the 9th and 10th values once sorted.",{"id":423,"type":73,"title":424,"problem":425,"steps":426,"help":430},"we-turnout-growth","How much did turnout actually grow?","Turnout was 45.67% at the very first general election and 67.4% at the\n2019 election. By how many percentage points did it grow?",[427,428,429],"67.4 − 45.67 = **21.73 percentage points**.","Percentage points, not percent: turnout did not become '47% bigger' — it moved from one percentage to a higher one, and we measure the gap directly in points.","Over 67 years, that averages under half a point of growth per election on a simple straight-line view — though, as the data lab shows, the real path went up and down a great deal rather than climbing steadily.",{"simplerExplanation":431},"A percentage point is the plain difference between two percentages, not a percentage of a percentage.",{"id":433,"type":133,"variant":434,"title":435,"markdown":436},"careful-percentage-point","careful","Percentage vs percentage point","A very common mix-up: if turnout rises from 40% to 50%, that is a rise of **10\npercentage points**, but a rise of **25%** in the turnout figure itself (10 is 25% of 40). The two\nnumbers answer different questions, and government data, news reports and this lesson all lean on the\n\"percentage point\" phrasing precisely to avoid that confusion.",{"id":438,"type":73,"title":439,"problem":440,"steps":441,"help":445},"we-electorate-growth","How much bigger is the electorate today?","About 17.3 crore people were on the electoral roll for the very first\ngeneral election of 1951-52. By 2024 that had grown to about 97.8 crore. Roughly\nhow many times bigger is today's electorate?",[442,443,444],"97.8 ÷ 17.3 ≈ **5.7 times bigger**.","Some of that growth is simply population growth over more than seven decades. Some of it is the voting age being lowered from 21 to 18 by an amendment in 1988, adding millions of younger citizens at a stroke.","Meanwhile the number of Lok Sabha seats has stayed close to 543 since the seat freeze began in 1976 — nowhere close to keeping pace with a 5.7-times-larger electorate. This is the same seat-freeze effect from the 'equal weight' chapter, now visible across the whole country rather than between two toy states.",{"simplerExplanation":446},"About the same number of representatives now have to speak for nearly six times as many voters as in 1951-52.",{"id":448,"type":46,"title":449,"eyebrow":450,"navLabel":451},"ch05","How equal is one vote's weight?","Chapter 05","5 Equal weight?",{"id":453,"type":42,"markdown":454},"eqweight-intro","\"One adult, one vote\" says every vote counts the same. But does every *constituency* carry the same\nweight? If one MP represents three times as many people as another MP, is that still \"one person, one\nvote\" in any meaningful sense? Test it with a toy example first, then see why it is a genuinely hard\nproblem to solve completely.",{"id":456,"type":73,"title":457,"problem":458,"steps":459,"help":464},"we-eqweight","Two toy states, one seat freeze, one growing gap","Two imaginary states, P and Q, both had about 1 crore people in\n1971 and were both given 20 Lok Sabha seats — fair at the time,\nsince their populations matched. Because of the seat freeze, both states still have exactly\n20 seats today. But State P's population grew to 3 crore\nwhile State Q's grew to 6 crore. How many electors, on average, does\neach state's MP now represent?",[460,461,462,463],"State P: 3 crore ÷ 20 seats = 3 × 10,000,000 ÷ 20 = **1,500,000 per seat**.","State Q: 6 crore ÷ 20 seats = **3,000,000 per seat**.","Ratio: 3,000,000 ÷ 1,500,000 = **2.0**. A vote in State Q's average constituency now shares its MP with twice as many neighbours as a vote in State P's.","Nothing dishonest happened here — both states simply grew at different rates after the number of seats was already fixed. The freeze that protected slower-growing states from losing seats also, as an unavoidable side effect, lets a gap like this widen over time.",{"simplerExplanation":465},"Same number of seats, but one state now has more people per seat than the other — so each of its MPs speaks for more people.",{"id":467,"type":133,"variant":158,"title":468,"markdown":469},"nuance-hard-problem","Why this does not have a tidy fix","You might think: simply give more seats to the faster-growing state at the next\ncount. But total seats in the Lok Sabha would then have to grow too (redistributing a fixed 543 would\ntake seats away from somewhere), and the very reason for the freeze in the first place — not\npenalising a state for successfully slowing its population growth — would then cut the other way.\nThere is no version of this problem that satisfies \"equal weight per vote\", \"no state loses seats\"\nand \"the total stays exactly the same\" all at once. Real institutions live with trade-offs like this\none all the time; naming the trade-off honestly is more useful than pretending it does not exist.",{"id":471,"type":55,"prompt":472,"options":473,"explanation":482},"predict-const-size","Two real Lok Sabha constituencies can have very different numbers of\nelectors — a small hill constituency might have around 400,000, while a large city\none might have around 3,000,000. Roughly how many times bigger is the large one?",[474,476,478,480],{"id":59,"label":475},"About 2 times",{"id":62,"label":477},"About 4 times",{"id":65,"label":479},"About 7.5 times",{"id":68,"label":481},"They must be exactly equal by law","**c.** 3,000,000 ÷ 400,000 = **7.5**. Delimitation tries to\nkeep constituencies within the same state reasonably close in size, and very sparsely populated or\nremote areas are sometimes kept smaller on purpose so that representing them is practical — but\n\"reasonably close\" still leaves real, checkable differences, which is exactly why average electors\nper seat is a number worth asking about rather than assuming away.",{"id":484,"type":133,"variant":434,"title":485,"markdown":486},"careful-fictional","States P and Q are made up on purpose","This chapter's numbers are a deliberately simplified, fictional example, chosen to make\nthe arithmetic of the seat-freeze effect clear without pinning it to any real state, region or current\ndebate. The mechanism it demonstrates — fixed seats, growing and shrinking populations, a widening\ngap in average constituency size — is real and documented; the specific figures are not.",{"id":488,"type":46,"title":489,"eyebrow":490,"navLabel":491},"ch06","Compare: panchayat funds per person","Chapter 06","6 Compare funds",{"id":493,"type":42,"markdown":494},"compare-funds-intro","Understand computed rupees-per-person for one village. Here you compare three villages side by side\nto test a claim: does a bigger panchayat fund always mean more money reaches each person?",{"id":496,"type":192,"caption":497,"columns":498,"rows":503},"table-panchayat-compare","Three villages, three very different funds and populations",[499,500,501,502],"Village","Panchayat fund","Population","Per person",[504,509,514],[505,506,507,508],"Village 1","₹40 lakh","2,500","₹1,600",[510,511,512,513],"Village 2","₹25 lakh","5,000","₹500",[515,516,517,518],"Village 3","₹60 lakh","1,200","₹5,000",{"id":520,"type":55,"prompt":521,"options":522,"explanation":531},"predict-biggest-fund","Village 3 has the **largest** panchayat fund of the three\n(₹60 lakh). Does it also give the **most** rupees per person?",[523,525,527,529],{"id":59,"label":524},"Yes — the biggest fund always gives the most per person",{"id":62,"label":526},"Yes, but only because it also has the fewest people",{"id":65,"label":528},"No — Village 1 gives more per person",{"id":68,"label":530},"No — all three give exactly the same per person","**b.** Village 3's fund is the largest in total, and it *does* give the most per person\n(₹5,000), but that is because it also has by far the smallest population\n(1,200 people). Village 2 has a smaller fund than Village 3 but more people than Village 1,\ngiving a per-person figure (₹500) in between. The size of the fund alone tells you\nnothing about the per-person share; you always need to divide by the population actually sharing\nit.",{"id":533,"type":98,"component":99,"componentVersion":5,"config":534,"objective":549,"textAlternative":550},"lab-data-panchayat",{"datasets":535,"valueRange":543,"step":115,"challenges":545},[536],{"label":537,"values":538,"unit":542},"Panchayat fund per person, three villages (₹)",[539,540,541],1600,500,5000,"₹",{"min":114,"max":544},6000,[546],{"measure":122,"target":547,"prompt":548},3400,"Find the range between the highest and lowest per-person figure among the three villages.","Compare the three villages' per-person panchayat funding as a live data set, and see how changing either number changes the outcome.","A dot plot of the three per-person figures — ₹1,600, ₹500 and\n₹5,000 — with a challenge to find the range between the highest and lowest. Beneath\nthe plot, the underlying fund and population for each village stay editable, so you can change\neither number and watch the per-person figure update immediately, testing your own \"what if the fund\ndoubled\" or \"what if the population halved\" questions directly.",{"id":552,"type":553,"conceptId":554,"relation":555,"explanation":556},"conn-numbers-panchayat","connection","number-system","applied_in","Comparing fund-per-person across villages of different sizes is the same division skill as sharing any amount fairly among a group.",{"id":558,"type":46,"title":559,"eyebrow":560,"navLabel":561},"ch07","Which level is responsible?","Chapter 07","7 Which level?",{"id":563,"type":42,"markdown":564},"which-level-intro","Understand sorted subjects into the Union, State and Concurrent Lists — a legal classification. This\nchapter tests a related but different question you actually face in daily life: for a specific\n*problem*, which *level* of government — local, State or Union — is the one to go to?",{"id":566,"type":98,"component":567,"componentVersion":5,"config":568,"objective":629,"textAlternative":630,"help":631},"lab-sort-level","sort-game",{"prompt":569,"bins":570,"items":580,"seconds":114},"For each everyday problem, which level of government is actually responsible for fixing it?",[571,574,577],{"id":572,"label":573},"local","Local",{"id":575,"label":576},"state","State",{"id":578,"label":579},"union","Union",[581,585,589,593,597,601,605,609,613,617,621,625],{"id":582,"label":583,"bin":572,"why":584},"w1","A pothole on a village lane","Roads within a village are a gram panchayat responsibility.",{"id":586,"label":587,"bin":578,"why":588},"w2","A delayed train service across two states","Railways are a Union subject; one network crossing state borders needs one authority.",{"id":590,"label":591,"bin":575,"why":592},"w3","Overcrowding at the district government hospital","Public health and hospitals are run by the State government.",{"id":594,"label":595,"bin":578,"why":596},"w4","A new post office branch","Postal services are a Union subject.",{"id":598,"label":599,"bin":572,"why":600},"w5","The weekly vegetable market's cleanliness","Local sanitation and markets are run by the municipality or panchayat.",{"id":602,"label":603,"bin":575,"why":604},"w6","A state's school curriculum","Most schools operate under state government rules, though education is shared with the Union.",{"id":606,"label":607,"bin":578,"why":608},"w7","Issuing a new passport","Passports are a Union responsibility.",{"id":610,"label":611,"bin":575,"why":612},"w8","The state's police response time","Police is a State List subject; each state runs its own force.",{"id":614,"label":615,"bin":572,"why":616},"w9","Property tax on your house","Property tax is usually collected by the municipality or panchayat to fund local services.",{"id":618,"label":619,"bin":578,"why":620},"w10","Deciding the interest rate policy for the whole country","Monetary policy for the entire currency is a Union-level responsibility.",{"id":622,"label":623,"bin":575,"why":624},"w11","A new state highway between two towns","A highway that stays within a state and is not declared 'national' is usually a State responsibility.",{"id":626,"label":627,"bin":572,"why":628},"w12","A gram panchayat's annual accounts","The panchayat itself, checked by the gram sabha, is the local responsibility for this.","Sort twelve everyday problems into the level of government actually responsible for each.","A three-bin sorting game — Local, State, Union — covering twelve real situations: a pothole,\na delayed train, hospital overcrowding, a post office, market cleanliness, school curricula, a\npassport, police response, property tax, interest rates, a state highway and panchayat accounts.\nAfter each card, a short note explains the reasoning, deliberately including cases that are easy to\nget backwards, such as police (State, not Union) and railways (Union, not State).",{"hints":632},[633,634],"If it needs one nationwide rule (currency, defence, railways, post), it is Union.","If it is close to your home — a street, a tap, a local tax, a market — it is Local.",{"id":636,"type":55,"prompt":637,"options":638,"explanation":647},"predict-education","You already learned that education sits on the Concurrent List. Given\nthat, which of these is most accurate about who actually runs your local government school day to\nday?",[639,641,643,645],{"id":59,"label":640},"Only the Union government, since education law can be Union law too",{"id":62,"label":642},"Mostly the State government, operating within a framework the Union also sets",{"id":65,"label":644},"Only the local panchayat or municipality, with no state or Union role at all",{"id":68,"label":646},"Whichever level built the school building","**b.** Being on the Concurrent List means both levels *may* legislate, but in practice day-to-\nday running of most government schools — staffing, local curriculum details, inspections — sits with\nthe State government, operating inside a broader framework (targets, some funding, laws like the\nRight to Education Act) that the Union also shapes. \"Concurrent\" describes who may make law, not\nautomatically who runs the building on a Tuesday morning.",{"id":649,"type":178,"itemId":650,"prompt":651,"check":652,"hints":662,"feedback":664},"prac-level","government-india.investigate-level","A resident wants a new bus route added between two towns in the same state. Which level of government should they approach first?",{"kind":653,"options":654,"correct":661},"choice",[655,657,658,659],{"id":59,"label":656},"Local (panchayat\u002Fmunicipality)",{"id":62,"label":576},{"id":65,"label":579},{"id":68,"label":660},"The Supreme Court",[62],[663],"Buses that stay inside one state, run by a state transport department, are usually a State matter, unlike railways.",{"correct":665,"incorrect":666},"Right — state-run bus services between towns within the same state are typically a State government matter.","Intra-state bus services are usually run and licensed by the State government, unlike railways, which are Union.",{"id":668,"type":46,"title":669,"eyebrow":670,"navLabel":671},"ch08","Testing your own government walk","Chapter 08","8 Your own test",{"id":673,"type":42,"markdown":674},"own-test-intro","The best test of everything in this topic is one you build yourself. This chapter asks you to design\na small investigation, the way a working scientist or a social researcher would.",{"id":676,"type":73,"title":677,"problem":678,"steps":679,"help":684},"we-polling-density","How many voters share one polling station?","The 2024 general election used about 10.5 lakh polling stations for\n97.8 crore electors. On average, how many electors shared each polling station?",[680,681,682,683],"Electors in full: 97.8 crore = 977,965,560.","Polling stations in full: 10.5 lakh = 1,052,664.","Average electors per station: 977,965,560 ÷ 1,052,664 ≈ **929**.","That is a genuinely small number for a country this size — the Election Commission adds stations specifically to keep this figure low, rather than making people travel far or queue for hours. In 2019 there were 1,037,848 stations; 14,816 more were added by 2024, tracking the growing electorate.",{"anotherExample":685},"It is the same division as working out how many students share one classroom, just at national scale.",{"id":687,"type":133,"variant":688,"title":689,"markdown":690},"tryit-rti-plan","try_it","Plan an RTI request, without sending it","Choose one specific, checkable fact about a local government service — for example,\n\"how many street lights were repaired in our ward last year?\" or \"how much did our gram panchayat\nspend on the water supply last year?\"\n\nDraft the request as one or two plain sentences, addressed to the correct public authority, asking\nonly for that fact — no opinions, no accusations. Note which office you believe holds the answer, and\nwork out the date 30 days from today, which is the normal deadline for a reply.\n\nYou do not have to send it. The investigation here is in the *planning*: could you actually name a\nspecific office, and a specific, answerable question? Many adults who complain about a local service\nhave never tried to make their question this precise.",{"id":692,"type":133,"variant":688,"title":693,"markdown":694},"tryit-investigation","Design your own two-question survey","Ask 10 people you know two questions, and write down the answers exactly, without\ncorrecting anyone:\n\n1. \"Who is your local ward councillor or sarpanch?\"\n2. \"Who is your MLA (state) and your MP (Lok Sabha)?\"\n\nCount how many people could answer each question fully. Most surveys of this kind, done anywhere,\nfind that people can name their MP more often than their local representative — even though the\nlocal representative controls things people notice every day, like street lights and drains.\n\nWrite two sentences on why you think that gap exists, using only what you observed, not a guess made\nbefore you asked anyone.",{"id":696,"type":133,"variant":697,"title":698,"markdown":699},"modellimit-toy-elections","model_limit","What the worked examples leave out","Every FPTP example in this lesson used clean, tidy numbers and exactly the same margin\nrepeated across identical seats, to make the arithmetic clear. Real elections never look this tidy:\nturnout differs seat by seat, some seats have five or six serious candidates rather than two or\nthree, and the same national party can win by a landslide in one region and lose everywhere in\nanother. The *pattern* you have tested here — winning seats narrowly costs fewer \"spare\" votes than\nwinning them by a landslide — still holds in real elections, but the exact seat-versus-vote gap in\nany real result depends on the messy geography of where a party's supporters actually live.",{"id":701,"type":133,"variant":158,"title":702,"markdown":703},"nuance-investigate-recap","What testing actually showed, in one place","Step back and count what got tested in this lesson: whether seat share tracks vote\nshare (it does not, reliably); whether a silent Rajya Sabha can block a money bill (it cannot);\nwhether mean and median are ever exactly equal on real data (rarely); whether the level responsible\nfor a problem is always the one people guess (police and railways trip most people up); and whether\none vote's weight stays equal over time as populations grow unevenly (it does not, under a seat\nfreeze). None of these were things to memorise in Understand — they only became visible once you\nactually pushed numbers through the rules and watched what came out.",{"id":705,"type":174,"prompt":706},"reflect-fairness","Having worked through several seat-versus-vote examples, write a\nshort, careful answer (four to six sentences) to this question: is a seat–vote gap automatically\n\"unfair\"? Consider what else a voting system has to balance besides matching seats to votes exactly,\nand try to name at least one advantage and one disadvantage of first-past-the-post without using the\nword \"unfair\" itself.",{"id":708,"type":98,"component":709,"componentVersion":5,"config":710,"objective":735,"textAlternative":736},"lab-match-terms","match-pairs",{"prompt":711,"mode":712,"pairs":713},"Match each term from this lesson to its meaning.","connect",[714,717,720,723,726,729,732],{"a":715,"b":716},"Wasted vote","A vote that did not change who won the seat",{"a":718,"b":719},"Percentage point","The plain difference between two percentages",{"a":721,"b":722},"Seat share","The percentage of seats a party won",{"a":724,"b":725},"Vote share","The percentage of total votes a party received",{"a":727,"b":728},"Coalition","Several parties combining their seats to reach a majority",{"a":730,"b":731},"Malapportionment-style gap","Constituencies of very different sizes carrying different weight per vote",{"a":733,"b":734},"Proportional representation","A system where seat share is designed to track vote share closely","Fix seven terms from this lesson's investigations to their meanings.","A seven-pair matching game covering the vocabulary this lesson introduced: wasted vote,\npercentage point, seat share, vote share, coalition, the unequal-constituency-size problem, and\nproportional representation. Each term reappears in the closing quiz, so this is good rehearsal.",{"id":738,"type":739,"title":740,"terms":741},"glossary-investigate","glossary","Words from this investigation",[742,746,750,754,758,762,765,768],{"term":743,"meaning":744,"example":745},"seat share","The percentage of a legislature's seats a party has won.","Party A's seat share was 100.0% despite a lower vote share.",{"term":747,"meaning":748,"example":749},"vote share","The percentage of all votes cast that went to a party.","Party A's vote share was 40.0% in the identical-seats example.",{"term":751,"meaning":752,"example":753},"wasted vote","A vote that did not change the result: every vote for a losing candidate, and a winner's votes beyond what they needed.","Landslide wins waste far more votes than narrow ones.",{"term":755,"meaning":756,"example":757},"percentage point","The plain arithmetic difference between two percentages.","A rise from 40% to 50% turnout is 10 percentage points.",{"term":759,"meaning":760,"example":761},"coalition","Two or more parties combining their seats to reach a majority together.","Four parties combined reached 278 seats, past the 272 needed.",{"term":118,"meaning":763,"example":764},"The sum of all values divided by how many there are.","Mean Lok Sabha turnout across 18 elections is about 58.8%.",{"term":411,"meaning":766,"example":767},"The middle value once a data set is sorted; the average of the two middle values if there is an even count.","Median turnout is about 59.1%.",{"term":122,"meaning":769,"example":770},"The largest value in a data set minus the smallest.","Turnout's range across all elections is about 21.96 percentage points.",{"id":772,"type":773,"title":774,"questions":775},"quiz-investigate","quiz","Check your investigating",[776,789,802,815,824,837],{"itemId":777,"prompt":778,"options":779,"correct":62,"why":788},"government-india.investigate-q-identical","In 10 identical constituencies where Party A always leads with 40% of the vote, how many of the 10 seats does Party A win?",[780,782,784,786],{"id":59,"label":781},"4",{"id":62,"label":783},"10",{"id":65,"label":785},"0",{"id":68,"label":787},"It cannot be worked out from this information","Being ahead in every single seat means winning every single seat under first-past-the-post — 100.0% of the seats from just 40.0% of the vote.",{"itemId":790,"prompt":791,"options":792,"correct":62,"why":801},"government-india.investigate-q-moneybill-silent","A money bill sits with the Rajya Sabha for 14 days with no vote at all. What happens?",[793,795,797,799],{"id":59,"label":794},"It lapses",{"id":62,"label":796},"It is deemed passed by both Houses as the Lok Sabha sent it",{"id":65,"label":798},"The President decides",{"id":68,"label":800},"It needs a joint sitting","Silence does not block a money bill. After the fixed period it is deemed passed exactly as the Lok Sabha passed it.",{"itemId":803,"prompt":804,"options":805,"correct":62,"why":814},"government-india.investigate-q-mean-median","Across 18 Lok Sabha elections, is the mean turnout (58.8%) exactly equal to the median (59.1%)?",[806,808,810,812],{"id":59,"label":807},"Yes, they are always equal for any data set",{"id":62,"label":809},"No, and real data sets rarely make them exactly equal",{"id":65,"label":811},"Yes, because there are an even number of elections",{"id":68,"label":813},"It is impossible to have both a mean and a median","Mean and median measure the 'middle' in different ways and only coincide exactly in special, symmetric data sets. Real data, like this turnout series, usually gives two close but different values.",{"itemId":816,"prompt":817,"options":818,"correct":62,"why":823},"government-india.investigate-q-police","Which level of government runs the police force in your area?",[819,820,821,822],{"id":59,"label":656},{"id":62,"label":576},{"id":65,"label":579},{"id":68,"label":660},"Police and public order are State List subjects; each state raises, trains and pays its own force.",{"itemId":825,"prompt":826,"options":827,"correct":62,"why":836},"government-india.investigate-q-fundper","Village 3 has the largest panchayat fund (₹60 lakh) but only 1,200 people. What does that tell you about its per-person share compared with a bigger, poorer-per-head village?",[828,830,832,834],{"id":59,"label":829},"A larger total fund always means a smaller per-person share",{"id":62,"label":831},"The per-person share depends on dividing by the population, not on the total fund alone",{"id":65,"label":833},"Per-person share cannot be calculated without knowing the state",{"id":68,"label":835},"All panchayats receive exactly the same per-person amount by law","Village 3's large fund shared among relatively few people gives ₹5,000 per person — the highest of the three villages — precisely because of its small population, not because its fund was largest in isolation.",{"itemId":838,"prompt":839,"options":840,"correct":62,"why":849},"government-india.investigate-q-gap-direction","In the seat-versus-vote examples in this lesson, which way did the gap between seat share and vote share usually run for the leading party?",[841,843,845,847],{"id":59,"label":842},"Seat share was usually lower than vote share",{"id":62,"label":844},"Seat share was usually higher than vote share",{"id":65,"label":846},"They were always exactly equal",{"id":68,"label":848},"There is no consistent pattern at all","First-past-the-post tends to reward the leading party with a seat share higher than its vote share, and squeeze the others — the pattern behind every example in this chapter.",{"id":851,"type":553,"conceptId":852,"relation":555,"explanation":853},"conn-databank","data-handling","Mean, median, mode and range are exactly the tools this lesson used on turnout data and on seat-versus-vote examples.",{"id":855,"type":856,"sourceIds":857},"sources-investigate","sources",[858,859,860,861,862,863,864,865,866,867],"government-india-eci","government-india-wikipedia-general-elections","government-india-wikipedia-constituencies","government-india-prs-billtrack","government-india-prs-parliament","government-india-constitution-official","government-india-ncert-class6-rural","government-india-ncert-class6-urban","government-india-pib-2024-stats","government-india-rti-portal",{"id":869,"type":870,"title":871,"points":872},"cheat-investigate","summary","Cheat sheet",[873,874,875,876,877,878,879],"**Seat share need not match vote share.** Identical splits repeated across seats can give one party every seat; narrow wins cost far fewer 'spare' votes than landslide wins.","**A three-way split** can let a candidate win a seat on well under half the vote (worked example: 38.0%) — still a clear win under first-past-the-post's one rule: most votes wins.","**Coalitions add seats to reach 272**; whether three parties are enough or all four are needed depends entirely on the actual numbers, not on which parties they are.","**A silent or unanimous-reject Rajya Sabha still cannot stop a money bill** — after 14 days, or after the Lok Sabha rejects every recommendation, it is deemed passed as the Lok Sabha wants.","**Turnout across 18 elections**: mean ≈ 58.8%, median ≈ 59.1%, range ≈ 21.96 points — mean and median are close but not identical, exactly as with most real data.","**Percentage points ≠ percent change.** A rise from 40% to 50% is 10 percentage points, but a 25% increase in the figure itself.","**Which level is responsible** depends on whether the problem needs one nationwide rule (Union), one state's own arrangement (State), or is close to home (Local) — police and railways are the two everyone mixes up.",[858,859,860,861,862,863,864,865,866,867],"needs_review",{"generatedBy":883,"notes":884},"claude-code","Draft generated locally; every seat\u002Fvote\u002Fturnout number computed and asserted in Python (see common.py's fptp() and the TURNOUT series). Strictly non-partisan: all party labels are single letters (A, B, C, D), not real parties. Owner to check that turnout figures are updated after any future general election. Pending owner review.","ab99d08b1bc04bac061cbb5161961ad5b0068c8b9c27f7870ad3ee17dbc2bbd0",{"component:data-lab@1":887,"logic:practice":888,"component:gov-structure@1":889,"component:sort-game@1":890,"component:match-pairs@1":891,"source:government-india-constitution-official":892,"source:government-india-eci":893,"source:government-india-ncert-class6-rural":894,"source:government-india-ncert-class6-urban":895,"source:government-india-pib-2024-stats":896,"source:government-india-prs-billtrack":897,"source:government-india-prs-parliament":898,"source:government-india-rti-portal":899,"source:government-india-wikipedia-constituencies":900,"source:government-india-wikipedia-general-elections":901},"466896cc37735f48db03875fe9c9ce42fc8bcb7e5f937c9779d70513703b91bd","3d6b0fe1b15255975a32b0fcd94e8019bc959ad45cbf12e136e86149549c6878","bad08645b2bec93e5bad5c51d85f0b191277232f5cec2d054251061e9c53b1ca","b164f45a2c8ca08f26c450768ff0231e113e9fe45381eddb34dc6d0548596c38","2a8ee4ac87460b4e1175a4bb13c96b03d577db06dde95670eb7fcfe4ad787899","7e2c0fcdf97c3edf7d486040d6005bc0e7a01f25d42137ef86af4bb08902a143","dfe57aaaf51a72c65f7840dabcedbab5ea9c8cba06942b273505e3079e67d62c","eca801d284b32ecd320efdd6e38bb29bf9411dc4119e58e5daba2041189342bd","40f9f8ce16ac0e104396d32a3a5596911d28cc6c2f06f253f1036b1cbab58f21","d6909ea504ffa288f921c7661daa84ac870c9927f2032de45b6347f781f28e8e","96c5f453e3cb390d39a549fba0a273b2086b8906793c92bccc9ddf43a9f1c9d5","e20738666c7ec1695fc28483ca7aa0d48c058f8fe4ff6ec4f330141b471cabe3","c7c166dbc0c8babc077759a553c1203f31647c3bb08f217fe84cee0d8aa8109f","13d43bca5bffd2fcb768e10d4d8bd62ab08aada759d2f4af19c6c2430b3fc212","9d64cddabcddb4c9c5af7b02feaaecd3ca016a18800c0d6480c0c5039e7d8991",{"state":903,"reviewer":904,"selfReview":905,"reviewedAt":906,"method":907},"approved","The library owner",true,"2026-09-20T10:18:37.581Z","owner_bulk","preview-7e1cbbcc4f",1789899598545]