[{"data":1,"prerenderedAt":1011},["ShallowReactive",2],{"layer:data-handling:discover":3},{"layer":4,"contentHash":992,"dependencyHashes":993,"approval":1004,"releaseId":1010},{"schemaVersion":5,"conceptId":6,"locale":7,"depth":8,"revision":5,"title":9,"subtitle":10,"summary":11,"objectives":12,"estimatedMinutes":18,"plate":19,"blocks":40,"sourceIds":987,"reviewStatus":988,"authoring":989},1,"data-handling","en","discover","Counting what matters: meeting data","From a messy list of answers to one number that tells the story","Ask a question, collect answers, and turn a jumble of raw data into tally marks, tables, pictographs and bar graphs. Then meet four friendly numbers that sum up a whole group: the fair share (mean), the middle (median), the most common (mode) and the spread (range).",[13,14,15,16,17],"Say what data is and give examples of data from everyday life in India.","Collect data by asking a fair question, observing or measuring.","Organise raw data with tally marks and a frequency table.","Read and describe pictographs (with a key) and bar graphs (with a scale).","Find a fair share (mean), a middle value (median), a most common value (mode) and a spread (range) for a small set of numbers.",35,{"title":20,"rows":21},"Lesson plate",[22,25,28,31,34,37],{"label":23,"value":24},"Depth","Discover",{"label":26,"value":27},"Reading time","≈ 35 minutes",{"label":29,"value":30},"You need","Counting, adding, sharing equally",{"label":32,"value":33},"Chapters","9",{"label":35,"value":36},"Labs","Collect-it sort, fair-share lab, shoe-size lab, word match",{"label":38,"value":39},"Big words","data, tally, frequency, mean, median, mode, range",[41,45,51,57,60,85,90,93,98,101,126,131,157,227,232,235,238,269,273,287,292,304,309,312,348,358,363,374,379,382,408,411,425,430,435,438,441,468,472,505,516,521,526,529,549,553,556,559,579,599,627,637,647,652,655,665,669,702,715,720,723,765,776,780,783,843,944,958,962,968,972,977],{"id":42,"type":43,"markdown":44},"intro-question","prose","Suppose your teacher says, *\"This Friday we will have a class party. Which snack should we order?\"* Thirty hands shoot up and thirty voices shout thirty answers. Samosa! Idli! Fruit! Samosa again! How do you decide?\n\nYou could guess. You could order whatever your best friend likes. Or you could **ask everyone, write the answers down, count them, and let the numbers decide**. The moment you do that, you are doing **data handling**, one of the most useful kinds of mathematics there is.\n\nIn this lesson you will learn to ask good questions, collect answers, organise them neatly, draw them as pictures, and finally squeeze a whole list of numbers into **one number that describes it**.",{"id":46,"type":47,"variant":48,"title":49,"markdown":50},"how-to-use","callout","observation","How to use this lesson","Read the chapters in order the first time. Whenever you meet a **prediction**, choose an answer before reading on: guessing first and then checking is how your brain learns fastest. The labs let you drag and change numbers yourself. Keep a pencil and some paper nearby; tally marks are much more fun to make than to read about.\n\nOne more thing. The class surveys, the fruit stall and the school figures in this lesson are **invented examples**, made up to be realistic. The Mumbai rainfall in Chapter 9 is real: it is the India Meteorological Department's long-term average for 1991–2020 at the Mumbai (Santacruz) station, rounded to the nearest millimetre.",{"id":52,"type":53,"title":54,"eyebrow":55,"navLabel":56},"ch01","chapter","What is data?","Chapter 01","1 What is data?",{"id":58,"type":43,"markdown":59},"data-meaning","**Data** is a collection of facts, such as numbers, words or measurements, gathered to answer a question. One fact on its own (\"Riya likes idli\") is a single piece of information. Put thirty of them together (\"what does each child in Class 6B like?\") and you have **data**.\n\nData is everywhere in India once you start looking:\n\n- The **scoreboard** at a cricket match lists runs, balls, fours and sixes for every batter.\n- The **weather report** on the news gives the highest and lowest temperatures in Delhi, Mumbai, Chennai and Kolkata, and tells you how many millimetres of rain fell.\n- Your **report card** holds your marks in every subject.\n- A **kirana shop** owner notes how many packets of milk, bread and biscuits are sold each day, so she knows how much to buy tomorrow.\n- The **electricity bill** at home shows how many units your family used this month and in past months.\n- Every ten years or so, the **Census of India** counts every single person in the country: about **121 crore** people in 2011.",{"id":61,"type":62,"tone":63,"items":64},"spec-data-around","spec","blue",[65,69,73,77,81],{"label":66,"big":67,"value":68},"Cricket scoreboard","4 overs, 38 runs","Runs, wickets and balls are all data, collected ball by ball.",{"label":70,"big":71,"value":72},"Weather report","Delhi 44 °C","Temperatures and rainfall recorded every day by the India Meteorological Department.",{"label":74,"big":75,"value":76},"Report card","87 \u002F 100","Marks for each subject; a teacher might compare a whole class.",{"label":78,"big":79,"value":80},"Kirana shop","24 packets","Daily sales help the shopkeeper decide what to stock.",{"label":82,"big":83,"value":84},"Census 2011","≈ 121 crore","The number of people counted in India in 2011.",{"id":86,"type":47,"variant":87,"title":88,"markdown":89},"def-data","definition","Data, in one line","**Data** is a set of facts or numbers collected to answer a question. Each separate fact is called an **observation** or a **value**. Data is really a plural word (one piece is a *datum*), but most people today say \"the data is\" as well as \"the data are\". Both are fine.",{"id":91,"type":43,"markdown":92},"question-first","Every good piece of data handling starts with a **question**, not with numbers. \"Which snack does our class like most?\" \"How much rain fell in Mumbai in July?\" \"How tall are children in Class 5?\" The question tells you **what** to collect, **from whom**, and **how** to write it down. A vague question gives messy, useless data. A clear question gives data you can actually use.",{"id":94,"type":53,"title":95,"eyebrow":96,"navLabel":97},"ch02","Collecting data","Chapter 02","2 Collecting data",{"id":99,"type":43,"markdown":100},"ways-collect","There are three everyday ways to collect data.\n\n1. **Ask people** (a **survey**). You might ask each classmate one question out loud, or hand out a **questionnaire**, a sheet with a few questions and boxes to tick.\n2. **Watch and count** (an **observation**). Stand at the school gate for ten minutes and count how many children arrive by bus, cycle, auto-rickshaw or on foot. Nobody needs to answer anything; you just record what you see.\n3. **Measure** (an **experiment** or measurement). Measure the heights of your friends with a tape, or put a jar outside to measure how much rain falls each day.\n\nOften you will use **data somebody else has collected**, such as rainfall figures from the India Meteorological Department, or census numbers. That is still data; you just did not collect it yourself.",{"id":102,"type":103,"caption":104,"columns":105,"rows":109},"table-ways","table","Three ways to collect data, with examples",[106,107,108],"Method","What you do","Example question",[110,114,118,122],[111,112,113],"Survey \u002F questionnaire","Ask people and record their answers","Which is your favourite snack?",[115,116,117],"Observation","Watch and count without asking anyone","How do children travel to school?",[119,120,121],"Measurement","Use a ruler, scale, thermometer or rain gauge","How tall is each child in Class 5?",[123,124,125],"Records made by others","Look up data already collected","How much rain fell in Chennai each month last year?",{"id":127,"type":47,"variant":128,"title":129,"markdown":130},"fair-questions","careful","Ask fair questions","The way you ask changes the answers you get.\n\n- **Unfair:** \"Don't you agree samosas are the best snack?\" This pushes people towards *yes*.\n- **Fair:** \"Which of these snacks do you like most: samosa, idli, poha, fruit or biscuits?\"\n\nAlso ask the **right people**. If you want to know what the *whole school* likes, asking only your five best friends will not do; they probably like the same things you do. And ask each person **only once**, so nobody's vote counts twice.",{"id":132,"type":133,"itemId":134,"prompt":135,"check":136,"hints":152,"feedback":154},"pr-fair","practice","data-handling.discover-fair-question","Which question is the **fairest** way to find out how children in your class get to school?",{"kind":137,"options":138,"correct":151},"choice",[139,142,145,148],{"id":140,"label":141},"a","You come by bus like me, right?",{"id":143,"label":144},"b","Walking is healthiest. Do you walk to school?",{"id":146,"label":147},"c","How do you usually come to school: bus, cycle, walk, car, auto-rickshaw or other?",{"id":149,"label":150},"d","Why don't you cycle to school?",[146],[153],"Which question could you answer honestly whatever you actually do?",{"correct":155,"incorrect":156},"Yes. It gives every choice, does not push towards any one answer, and has an \"other\" box for anyone who does not fit.","Look for the question that does not hint at a \"right\" answer and that gives every possible choice.",{"id":158,"type":159,"component":160,"componentVersion":5,"config":161,"objective":223,"textAlternative":224,"help":225},"lab-collect-sort","interactive","sort-game",{"prompt":162,"bins":163,"items":173,"seconds":222},"How would you collect this data? Put each card in the best bin.",[164,167,170],{"id":165,"label":166},"survey","Ask people (survey)",{"id":168,"label":169},"observe","Watch and count",{"id":171,"label":172},"measure","Measure it",[174,178,182,186,190,194,198,202,206,210,214,218],{"id":175,"label":176,"bin":165,"why":177},"c1","Favourite fruit of each child in your class","Only the children know their favourite, so you have to ask them.",{"id":179,"label":180,"bin":168,"why":181},"c2","Number of red cars passing the school gate in 10 minutes","You simply watch the road and make a tally mark for each red car.",{"id":183,"label":184,"bin":171,"why":185},"c3","Height of each child in Class 5","You need a measuring tape to find each height in centimetres.",{"id":187,"label":188,"bin":165,"why":189},"c4","Which TV channel families in your building watch most","You have to ask each family.",{"id":191,"label":192,"bin":168,"why":193},"c5","Birds visiting a bird feeder each morning","You watch quietly and count the birds as they arrive.",{"id":195,"label":196,"bin":171,"why":197},"c6","Rain that falls each day in June","A rain gauge measures rainfall in millimetres.",{"id":199,"label":200,"bin":165,"why":201},"c7","Languages spoken at home by your classmates","Ask each classmate; you cannot tell by looking.",{"id":203,"label":204,"bin":168,"why":205},"c8","How many people buy tea at a stall in one hour","Stand near the stall and tally each customer.",{"id":207,"label":208,"bin":171,"why":209},"c9","Temperature at noon every day for a week","Read a thermometer at the same time each day.",{"id":211,"label":212,"bin":171,"why":213},"c10","Mass of each school bag in your class","Put each bag on a weighing scale.",{"id":215,"label":216,"bin":165,"why":217},"c11","Favourite sport of teachers in your school","Ask the teachers; it is their opinion.",{"id":219,"label":220,"bin":168,"why":221},"c12","Vehicles waiting at a traffic signal","Count them as you watch: cars, bikes, autos, buses.",0,"Decide whether each piece of data is best collected by asking people, by watching and counting, or by measuring.","A sorting game with three bins: **Ask people (survey)**, **Watch and count** and **Measure it**. There are 12 cards.\n\n- **Survey:** favourite fruit of each child; the TV channel families watch most; languages spoken at home; favourite sport of teachers. These are opinions or facts only the person knows, so you must ask.\n- **Watch and count:** red cars passing the gate in 10 minutes; birds at a feeder; customers at a tea stall in an hour; vehicles at a traffic signal. You record what you see with tally marks.\n- **Measure:** heights of children; daily rainfall in June; noon temperature for a week; mass of school bags. You need a tool: a tape, a rain gauge, a thermometer, a scale.\n\nThe rule of thumb: opinions need asking, events need watching, amounts need measuring.",{"simplerExplanation":226},"If only the person knows the answer, ask them. If you can see it happen, count it. If you need a tool like a ruler or scale, measure it.",{"id":228,"type":53,"title":229,"eyebrow":230,"navLabel":231},"ch03","Raw data and tally marks","Chapter 03","3 Tally marks",{"id":233,"type":43,"markdown":234},"raw-data","Here are the answers from Class 6B's snack survey, written down in the order the children answered:\n\n*Fruit, Samosa, Idli, Biscuits, Samosa, Biscuits, Idli, Samosa, Idli, Samosa, Biscuits, Fruit, Fruit, Idli, Fruit, Fruit, Poha, Samosa, Poha, Fruit, Poha, Idli, Samosa, Poha, Samosa, Samosa, Poha, Idli, Samosa, Idli.*\n\nThis is called **raw data**: data exactly as it was collected, before anyone has sorted or counted it. Quick: which snack won? It is hard to tell. Your eyes jump around and you lose your place. We need a better way to count.",{"id":236,"type":43,"markdown":237},"tally-intro","The oldest trick for counting is the **tally mark**. Go through the list **once**, from start to finish. For each answer, draw one short stroke | next to that snack's name. When you reach the fifth stroke, draw it **across** the other four, making a little gate: 卌 (written in books as four upright strokes crossed by a fifth). Gates make counting quick, because you can count in fives: 卌 卌 || is 5 + 5 + 2 = 12.\n\nWhy go through the list only once, crossing off each answer as you tally it? Because then you never miss one or count one twice. Shepherds, shopkeepers and cricket scorers have used tallies like this for thousands of years.",{"id":239,"type":103,"caption":240,"columns":241,"rows":245},"table-tally","Class 6B snack survey: tally marks and frequency (卌 = a gate of 5)",[242,243,244],"Snack","Tally marks","Frequency (number of children)",[246,249,253,257,261,265],[247,248,33],"Samosa","卌 ||||",[250,251,252],"Idli","卌 ||","7",[254,255,256],"Fruit","卌 |","6",[258,259,260],"Poha","卌","5",[262,263,264],"Biscuits","|||","3",[266,267,268],"**Total**","—","**30**",{"id":270,"type":47,"variant":87,"title":271,"markdown":272},"def-frequency","Frequency","The **frequency** of a value is **how many times it appears** in the data. Samosa has a frequency of 9 because 9 children chose it. A table listing each value with its frequency is a **frequency table**. Always add up the frequencies at the end: the total must equal the number of people you asked (here, 30). If it does not, you have missed or double-counted someone.",{"id":274,"type":275,"title":276,"problem":277,"steps":278,"help":285},"we-fruit","worked_example","Tallying fruit in lunch boxes","Twenty children opened their lunch boxes. The fruits were: banana, apple, banana, orange, guava, banana, apple, guava, banana, orange, banana, apple, guava, banana, orange, banana, apple, guava, banana, apple. Make a frequency table. Which fruit was most common?",[279,280,281,282,283,284],"Go through the list once, making a tally stroke for each fruit.","Banana: 卌 |||| → 9. Apple: 卌 → 5. Guava: |||| → 4. Orange: ||| → 3.","Check: 9 + 5 + 4 + 3 = 21. That is one too many! There were only 20 children.","Recount carefully, crossing off each word as you tally it. Banana appears **8** times, not 9.","Corrected table: banana 8, apple 5, guava 4, orange 3. Check: 8 + 5 + 4 + 3 = **20** ✓.","The most common fruit is **banana**, with a frequency of 8.",{"simplerExplanation":286},"Always add up your tally at the end. If the total is not the number of children, count again, crossing off as you go.",{"id":288,"type":47,"variant":289,"title":290,"markdown":291},"tryit-gate","try_it","Tally the traffic","Sit near a window or a gate (with an adult if it is near a road) for 5 minutes. Make four headings: **two-wheelers, cars, autos, buses and trucks**. Make a tally mark for every vehicle that passes. At the end, count your gates in fives and write the totals. Which kind of vehicle was most common? Would the answer be the same at 9 in the morning and 3 in the afternoon?",{"id":293,"type":133,"itemId":294,"prompt":295,"check":296,"hints":299,"feedback":301},"pr-tally","data-handling.discover-tally-count","A tally shows 卌 卌 卌 |||. What number does it stand for?",{"kind":297,"answer":298,"tolerance":222},"number",18,[300],"Count in fives first.",{"correct":302,"incorrect":303},"Right: three gates of 5 make 15, plus 3 more strokes makes 18.","Each gate 卌 is 5. Count the gates: 5, 10, 15. Then add the 3 single strokes.",{"id":305,"type":53,"title":306,"eyebrow":307,"navLabel":308},"ch04","Pictographs: pictures that count","Chapter 04","4 Pictographs",{"id":310,"type":43,"markdown":311},"picto-intro","A **pictograph** shows data using small pictures or symbols. Each symbol stands for a certain number of things, and a **key** tells you how many. Without the key, a pictograph is useless: one mango symbol could mean 1 mango or 100.\n\nMr Rao runs a fruit stall in Ratnagiri. He counted the mangoes he sold each day for a week. Here is his data as a pictograph, where **● = 10 mangoes** and **◐ = 5 mangoes** (half a symbol means half the key).",{"id":313,"type":103,"caption":314,"columns":315,"rows":319},"table-picto","Mangoes sold at a fruit stall in one week. Key: ● = 10 mangoes, ◐ = 5 mangoes",[316,317,318],"Day","Pictograph","Mangoes sold",[320,324,328,332,336,340,344],[321,322,323],"Monday","●●●","30",[325,326,327],"Tuesday","●●●●◐","45",[329,330,331],"Wednesday","●●","20",[333,334,335],"Thursday","●●●◐","35",[337,338,339],"Friday","●●●●●","50",[341,342,343],"Saturday","●●●●●●◐","65",[345,346,347],"Sunday","●●●●●●●","70",{"id":349,"type":275,"title":350,"problem":351,"steps":352},"we-picto","Reading the mango pictograph","Use the pictograph above. (a) On which day were the most mangoes sold? (b) How many more were sold on Saturday than on Wednesday? (c) How many were sold in the whole week?",[353,354,355,356,357],"(a) Sunday has the longest row: 7 full symbols = 7 × 10 = **70 mangoes**.","(b) Saturday: 6 full + 1 half = 60 + 5 = 65. Wednesday: 2 full = 20. Difference: 65 − 20 = **45 more**.","(c) Add all the days: 30 + 45 + 20 + 35 + 50 + 65 + 70 = **315 mangoes**.","Check a second way, by counting symbols: full symbols 3 + 4 + 2 + 3 + 5 + 6 + 7 = 30, plus 3 half symbols (Tuesday, Thursday, Saturday).","30 × 10 + 3 × 5 = 300 + 15 = **315** ✓. Getting the same answer two different ways is the best way to catch slips.",{"id":359,"type":47,"variant":360,"title":361,"markdown":362},"picto-careful","misconception","\"Every picture means one thing\"","A common slip is to count the symbols and forget the key. Sunday has 7 symbols, but it does **not** mean 7 mangoes. It means 7 × 10 = 70. Always read the key first. Also, all the symbols in a pictograph must be the **same size**; if one row uses bigger pictures, it looks larger than it really is.",{"id":364,"type":133,"itemId":365,"prompt":366,"check":367,"hints":369,"feedback":371},"pr-picto","data-handling.discover-picto-key","In a pictograph about books borrowed from a library, the key says 📘 = 4 books. Monday's row shows 📘📘📘📘📘 and half a 📘. How many books were borrowed on Monday?",{"kind":297,"answer":368,"tolerance":222},22,[370],"Half a symbol means half of the key.",{"correct":372,"incorrect":373},"Correct: 5 full symbols are 5 × 4 = 20, and half a symbol is 2 more, so 22 books.","Each full symbol is 4 books, so five are 20. Half a symbol is half of 4, which is 2.",{"id":375,"type":53,"title":376,"eyebrow":377,"navLabel":378},"ch05","Bar graphs","Chapter 05","5 Bar graphs",{"id":380,"type":43,"markdown":381},"bar-intro","Drawing lots of little pictures takes time, and big numbers need too many symbols. A **bar graph** does the same job more neatly. Each category gets a **bar**, and the **height (or length) of the bar** shows the number.\n\nA bar graph has:\n\n- two **axes**: a line along the bottom (for the categories) and a line up the side (for the numbers);\n- a **scale** on the number axis, such as 1 small square = 1 child, or 1 square = 10 mangoes;\n- bars of **equal width** with **equal gaps** between them, so only the height carries meaning;\n- a **title** and **labels** on both axes, so anyone can tell what it is about.\n\nHere is Class 6C's favourite-sport data drawn sideways as a bar graph made of blocks, where each █ is one child.",{"id":383,"type":103,"caption":384,"columns":385,"rows":389},"table-bar","Favourite sport of 36 children in Class 6C as a sideways bar graph. Scale: █ = 1 child",[386,387,388],"Sport","Bar","Children",[390,394,397,400,404],[391,392,393],"Cricket","████████████","12",[395,396,252],"Football","███████",[398,399,260],"Kabaddi","█████",[401,402,403],"Badminton","████████","8",[405,406,407],"Kho-kho","████","4",{"id":409,"type":43,"markdown":410},"bar-read","Reading a bar graph is quick. The **longest bar** (cricket, 12) is the most popular; the **shortest** (kho-kho, 4) the least. You can compare too: cricket is 12 − 7 = 5 more than football, and exactly **three times** kho-kho, because 4 × 3 = 12. All the bars together add up to 12 + 7 + 5 + 8 + 4 = 36, the whole class.",{"id":412,"type":413,"prompt":414,"options":415,"explanation":424},"predict-scale","prediction","Bala wants to draw a bar graph of the mangoes sold each day (30, 45, 20, 35, 50, 65, 70) on squared paper that is only 10 squares tall. Which scale should he choose?",[416,418,420,422],{"id":140,"label":417},"1 square = 1 mango",{"id":143,"label":419},"1 square = 5 mangoes",{"id":146,"label":421},"1 square = 10 mangoes",{"id":149,"label":423},"1 square = 50 mangoes","**1 square = 10 mangoes** fits best. The biggest value is 70, which needs 7 squares, so everything fits on 10 squares with room for a title. With 1 square = 1 mango, Sunday's bar would need 70 squares. With 1 square = 5 it would need 14, still too tall. With 1 square = 50 every bar would be a stub of one or two squares, and you could not see the differences. Tuesday's 45 would be 4½ squares at 1 square = 10, which is fine: half squares are allowed. Choosing a scale means: **look at the biggest number, and pick a step that makes it fit comfortably**.",{"id":426,"type":47,"variant":427,"title":428,"markdown":429},"bar-aha","aha","Pictograph and bar graph are cousins","Stack a pictograph's symbols tightly and smooth them into a block, and you get a bar. The key of a pictograph and the scale of a bar graph are the same idea: **how much one unit on the picture stands for**.",{"id":431,"type":53,"title":432,"eyebrow":433,"navLabel":434},"ch06","One number for a whole group: the fair share","Chapter 06","6 The fair share",{"id":436,"type":43,"markdown":437},"typical-intro","Tables and graphs show *all* the data. But often we want **one number** that describes the whole group. \"How tall are children in Class 5?\" \"About 130 cm.\" \"How much rain does Chennai get in November?\" \"About 350 mm.\" That one number is called an **average**, or a **typical value**.\n\nThere is more than one way to choose it. Let's meet the first: the **fair share**.",{"id":439,"type":43,"markdown":440},"marbles","Asha, Bala, Chitra, Dev and Esha have **3, 7, 4, 6 and 5** marbles. It does not seem fair: Bala has more than twice as many as Asha. So they put all the marbles in a heap and share them out equally.\n\n- Heap: 3 + 7 + 4 + 6 + 5 = **25** marbles.\n- Shared among 5 children: 25 ÷ 5 = **5 marbles each**.\n\nThat fair share, 5, is called the **mean** of the data. Another way to see it: imagine the marbles in five towers of heights 3, 7, 4, 6 and 5. Take marbles off the tall towers and put them on the short ones until every tower is the same height. Bala gives 2, Dev gives 1; Asha gets 2 and Chitra gets 1. Every tower **levels out** at 5.",{"id":442,"type":103,"caption":443,"columns":444,"rows":449},"table-level","Levelling the marble towers to the mean",[445,446,447,448],"Child","Marbles at first","Gives (−) or gets (+)","After levelling",[450,453,456,459,462,465],[451,264,452,260],"Asha","+2",[454,252,455,260],"Bala","−2",[457,407,458,260],"Chitra","+1",[460,256,461,260],"Dev","−1",[463,260,464,260],"Esha","0",[266,466,467,466],"**25**","**0**",{"id":469,"type":47,"variant":87,"title":470,"markdown":471},"def-mean","Mean (the fair share)","The **mean** is what each one would get if everything were shared out equally.\n\n**mean = (sum of all the values) ÷ (number of values)**\n\nWhen people say \"average\" in everyday talk, they usually mean the mean.",{"id":473,"type":159,"component":474,"componentVersion":5,"config":475,"objective":499,"textAlternative":500,"help":501},"lab-fair-share","data-lab",{"datasets":476,"valueRange":485,"step":5,"challenges":487},[477],{"label":478,"unit":439,"values":479},"Marbles in five pockets",[480,481,482,483,484],3,7,4,6,5,{"min":222,"max":486},12,[488,491,493,496],{"measure":489,"target":483,"prompt":490},"mean","Change one pocket so that the fair share (mean) becomes 6 marbles.",{"measure":489,"target":482,"prompt":492},"Now make the mean 4. How many marbles must leave the heap in total?",{"measure":494,"target":222,"prompt":495},"range","Level every pocket so the data has no spread at all (range 0).",{"measure":497,"target":483,"prompt":498},"median","Change the data so the middle value (median) is 6.","Drag the dots to change how many marbles each child has, and watch the fair share (mean) change.","A dot plot shows five pockets with 3, 7, 4, 6 and 5 marbles; you can drag any value between 0 and 12. Readouts show the **mean**, **median**, **mode** and **range**. At the start, the sum is 25, so the mean is 25 ÷ 5 = **5**.\n\nChallenges:\n\n1. **Mean 6:** the heap must hold 6 × 5 = 30 marbles, which is 5 more. Change Asha's 3 to 8, for example.\n2. **Mean 4:** the heap must hold 4 × 5 = 20, so 5 marbles must leave in total.\n3. **Range 0:** make every pocket the same, such as 5, 5, 5, 5, 5; then biggest − smallest = 0.\n4. **Median 6:** put the values in order; the middle (third) one must be 6, for example 3, 4, 6, 6, 7.\n\nWhatever you do, the mean always equals the total in the heap divided by 5.",{"hints":502},[503,504],"Work out the total the heap needs first: target mean × number of pockets.","Adding 1 marble to any pocket raises the mean by 1 ÷ 5 = 0.2.",{"id":506,"type":133,"itemId":507,"prompt":508,"check":509,"hints":511,"feedback":513},"pr-mean-1","data-handling.discover-mean-sweets","Four friends collected 6, 9, 5 and 8 rupees for a gift. If they shared the money equally, how much would each have?",{"kind":297,"answer":481,"tolerance":222,"unit":510},"₹",[512],"Heap it all together, then share.",{"correct":514,"incorrect":515},"Yes: 6 + 9 + 5 + 8 = 28, and 28 ÷ 4 = 7 rupees each.","Add all the money first (28 rupees), then share it among 4 friends.",{"id":517,"type":47,"variant":518,"title":519,"markdown":520},"mean-not-member","nuance","The fair share need not be anyone's real amount","In the marble story, Esha actually had 5, the mean. But that is luck. If three friends have 1, 2 and 6 sweets, the fair share is 9 ÷ 3 = **3 sweets**, and nobody had exactly 3. The mean can even be a fraction: 1, 2 and 2 give 5 ÷ 3 = 1⅔ sweets each. That is why news reports say things like \"an average family has 4.4 members\". No family has 4.4 people; it is a fair-share number.",{"id":522,"type":53,"title":523,"eyebrow":524,"navLabel":525},"ch07","The middle, the most common and the spread","Chapter 07","7 Median, mode, range",{"id":527,"type":43,"markdown":528},"median-intro","Seven children line up for a class photo: their heights are 132, 128, 140, 135, 126, 138, 131 cm. Ask them to line up **from shortest to tallest**: 126, 128, 131, 132, 135, 138, 140. The child standing exactly in the **middle** of the line, with 3 children on each side, is 132 cm tall.\n\nThat middle value is called the **median**. To find it: put the data **in order**, then pick the **middle** one.",{"id":530,"type":531,"title":532,"items":533},"steps-median","steps","Finding the median of seven heights",[534,538,542,546],{"title":535,"tag":536,"text":537},"Write the data","raw","132, 128, 140, 135, 126, 138, 131 cm",{"title":539,"tag":540,"text":541},"Put it in order","smallest first","126, 128, 131, 132, 135, 138, 140 cm",{"title":543,"tag":544,"text":545},"Find the middle","7 values","With 7 values, the middle one is the 4th: three on each side.",{"title":547,"tag":497,"text":548},"Read it off","The 4th value is **132 cm**. Half the children are shorter, half are taller.",{"id":550,"type":47,"variant":360,"title":551,"markdown":552},"median-mistake","\"The median is the middle of the list as written\"","If you take the middle of the **unordered** list (132, 128, 140, 135, 126, 138, 131) you get 135 cm, which is wrong. The median only works after the data is **sorted**. Always order first.",{"id":554,"type":43,"markdown":555},"mode-intro","Now the shoe shop. Twelve children in a class wear these shoe sizes: 4, 5, 5, 6, 5, 4, 7, 5, 6, 4, 5, 6. A shopkeeper stocking school shoes does not care about the fair share; nobody can wear size 5.2. She wants to know **which size is most common**.\n\nCounting: size 4 appears 3 times, size 5 appears 5 times, size 6 appears 3 times and size 7 once. The most common value is **size 5**. The most common value is called the **mode**. (Think *mode* = *most*.)",{"id":557,"type":43,"markdown":558},"range-intro","Finally, **how spread out** is the data? In the photo line, the tallest child is 140 cm and the shortest 126 cm. The difference, 140 − 126 = **14 cm**, is the **range**. A small range means the values are bunched close together; a big range means they are spread far apart.\n\nIn Delhi an average day in May swings from about 26 °C at dawn to 40 °C in the afternoon: a range of 14 degrees. A rainy day in Mumbai in July swings far less, from about 25 °C to 30 °C: a range of just 5.",{"id":560,"type":62,"tone":561,"items":562},"spec-four","amber",[563,567,571,575],{"label":564,"big":565,"value":566},"Mean","fair share","Add them all, share equally: sum ÷ count.",{"label":568,"big":569,"value":570},"Median","middle","Put them in order, take the middle one.",{"label":572,"big":573,"value":574},"Mode","most common","The value that appears most often.",{"label":576,"big":577,"value":578},"Range","spread","Biggest value − smallest value.",{"id":580,"type":159,"component":474,"componentVersion":5,"config":581,"objective":597,"textAlternative":598},"lab-shoes",{"datasets":582,"valueRange":587,"step":5,"challenges":589},[583],{"label":584,"unit":585,"values":586},"Shoe sizes of 12 children","size",[482,484,484,483,484,482,481,484,483,482,484,483],{"min":5,"max":588},10,[590,593,595],{"measure":591,"target":483,"prompt":592},"mode","Change the fewest sizes you can so the mode becomes size 6.",{"measure":494,"target":482,"prompt":594},"Make the range 4 by changing just one child's size.",{"measure":591,"target":482,"prompt":596},"Now make size 4 the one and only mode.","Change the shoe sizes and see how the mode (most common size) and the range respond.","A dot plot of 12 shoe sizes: 4, 5, 5, 6, 5, 4, 7, 5, 6, 4, 5, 6. Frequencies: size 4 ×3, size 5 ×5, size 6 ×3, size 7 ×1. The mode is **5**; the range is 7 − 4 = **3**; the median is **5** (the 6th and 7th ordered values are both 5); the mean is 62 ÷ 12 ≈ **5.17**, a size nobody can buy.\n\nChallenges:\n\n1. **Mode 6:** move at least 2 of the size-5 children to size 6. Then size 6 appears 5 times and size 5 only 3 times.\n2. **Range 4:** change one child to size 8 (8 − 4 = 4), or change one size-4 child to size 3 (7 − 3 = 4).\n3. **Mode 4:** size 4 must appear more often than every other size, for example by moving 3 size-5 children to size 4 (then 4 appears 6 times).\n\nA shopkeeper cares about the mode: it tells her which size to stock most of.",{"id":600,"type":159,"component":474,"componentVersion":5,"config":601,"objective":625,"textAlternative":626},"lab-heights",{"datasets":602,"valueRange":614,"step":5,"challenges":617},[603],{"label":604,"unit":605,"values":606},"Heights of 7 children in a photo line","cm",[607,608,609,610,611,612,613],132,128,140,135,126,138,131,{"min":615,"max":616},120,150,[618,620,623],{"measure":497,"target":610,"prompt":619},"Change one child so the median height becomes 135 cm.",{"measure":494,"target":621,"prompt":622},20,"Make the range 20 cm.",{"measure":497,"target":608,"prompt":624},"Make the median 128 cm, changing as few children as you can.","Move the heights and watch the middle value (median) and the spread (range).","A dot plot of 7 heights: 132, 128, 140, 135, 126, 138, 131 cm. In order: 126, 128, 131, 132, 135, 138, 140. The median is the 4th value, **132 cm**; the range is 140 − 126 = **14 cm**.\n\nChallenges:\n\n1. **Median 135:** change the 132-cm child to any height of 135 cm or more. The 135-cm child then stands in the middle: for 132 → 136 the order is 126, 128, 131, 135, 136, 138, 140.\n2. **Range 20:** make the tallest 146 (146 − 126 = 20), or the shortest 120 (140 − 120 = 20).\n3. **Median 128:** the 4th ordered value must be 128. Move two of the taller children below 128, e.g. 132 → 124 and 135 → 125: ordered 124, 125, 126, 128, 131, 138, 140.\n\nNotice that changing the tallest child to 150 does not move the median at all: the middle child is still 132.",{"id":628,"type":133,"itemId":629,"prompt":630,"check":631,"hints":632,"feedback":634},"pr-median","data-handling.discover-median-5","Five children scored 7, 3, 9, 5 and 8 in a spelling test. What is the median score?",{"kind":297,"answer":481,"tolerance":222},[633],"Order first!",{"correct":635,"incorrect":636},"Right: in order they are 3, 5, 7, 8, 9, and the middle (3rd) value is 7.","Put them in order first: 3, 5, 7, 8, 9. Then take the middle one.",{"id":638,"type":133,"itemId":639,"prompt":640,"check":641,"hints":643,"feedback":644},"pr-range","data-handling.discover-range-temp","In one week the highest temperatures in Chennai were 33, 35, 34, 36, 32, 35 and 34 °C. What is the range?",{"kind":297,"answer":482,"tolerance":222,"unit":642},"°C",[],{"correct":645,"incorrect":646},"Yes: 36 − 32 = 4 °C.","Find the biggest (36) and the smallest (32), then subtract.",{"id":648,"type":53,"title":649,"eyebrow":650,"navLabel":651},"ch08","Which number tells the story?","Chapter 08","8 Choosing",{"id":653,"type":43,"markdown":654},"choose-intro","You now have four numbers that sum up data. They answer different questions:\n\n- \"If we shared it all equally, how much each?\" → **mean**.\n- \"What is the value in the middle?\" → **median**.\n- \"What is most popular or most common?\" → **mode**.\n- \"How far apart are the smallest and biggest?\" → **range**.\n\nFor the class-party snacks, the only sensible choice is the **mode**: samosa, chosen by 9 children. You cannot find the \"mean snack\"! You cannot add up samosas and idlis. The mode is the only average that works for **words** as well as numbers.",{"id":656,"type":275,"title":657,"problem":658,"steps":659},"we-all-four","All four for a cricket over","In one over, a bowler gave away these runs off the six balls: 1, 0, 4, 1, 6, 0. Find the mean, median, mode and range.",[660,661,662,663,664],"**Mean:** total runs = 1 + 0 + 4 + 1 + 6 + 0 = 12. Balls = 6. Mean = 12 ÷ 6 = **2 runs per ball**.","**Median:** in order: 0, 0, 1, 1, 4, 6. There are 6 values, so there are **two** middle ones (the 3rd and 4th): 1 and 1. Halfway between 1 and 1 is **1**.","**Mode:** 0 appears twice and 1 appears twice. There are **two modes, 0 and 1**. That is allowed.","**Range:** 6 − 0 = **6 runs**.","Notice the mean (2) is bigger than the median (1). The one big 6 pulled the fair share up, but most balls gave away 0 or 1.",{"id":666,"type":47,"variant":48,"title":667,"markdown":668},"even-median","What if there is no single middle?","With an even number of values, two values share the middle. The median is **halfway between them**: add them and divide by 2. For 2, 4, 6, 8 the middle two are 4 and 6, so the median is (4 + 6) ÷ 2 = **5**. You will practise this in the next layer.",{"id":670,"type":159,"component":671,"componentVersion":5,"config":672,"objective":700,"textAlternative":701},"lab-words","match-pairs",{"prompt":673,"mode":674,"pairs":675},"Match each data word to what it means.","connect",[676,679,682,685,687,689,692,694,696,698],{"a":677,"b":678},"Data","Facts or numbers collected to answer a question",{"a":680,"b":681},"Raw data","Data as collected, not yet sorted or counted",{"a":683,"b":684},"Tally mark","A stroke made for each item; the 5th crosses the other 4",{"a":271,"b":686},"How many times a value appears",{"a":317,"b":688},"A chart using symbols, with a key",{"a":690,"b":691},"Bar graph","A chart where bar height shows the number",{"a":564,"b":693},"The fair share: sum ÷ count",{"a":568,"b":695},"The middle value after putting data in order",{"a":572,"b":697},"The value that appears most often",{"a":576,"b":699},"Biggest value minus smallest value","Match ten data-handling words to their meanings.","A matching game with ten pairs:\n\n- **Data**: facts or numbers collected to answer a question.\n- **Raw data**: data as collected, not yet sorted or counted.\n- **Tally mark**: a stroke for each item, with every 5th crossing the other 4.\n- **Frequency**: how many times a value appears.\n- **Pictograph**: a chart using symbols, with a key.\n- **Bar graph**: a chart where the height of each bar shows the number.\n- **Mean**: the fair share, sum ÷ count.\n- **Median**: the middle value after putting data in order.\n- **Mode**: the value that appears most often.\n- **Range**: biggest value minus smallest value.",{"id":703,"type":413,"prompt":704,"options":705,"explanation":714},"predict-new-kid","The five marble friends (3, 7, 4, 6, 5; mean 5) are joined by Farhan, who has **11** marbles. What happens to the fair share?",[706,708,710,712],{"id":140,"label":707},"It stays 5",{"id":143,"label":709},"It goes up to 6",{"id":146,"label":711},"It goes up to 11",{"id":149,"label":713},"It goes down","**It goes up to 6.** The heap is now 25 + 11 = 36 marbles, shared among 6 children: 36 ÷ 6 = 6. Farhan brought 6 more marbles than the old fair share, and those 6 extra marbles get spread across all 6 children, lifting each share by 1. A newcomer **above** the mean pulls the mean up; one **below** pulls it down; one **exactly at** the mean leaves it unchanged.",{"id":716,"type":53,"title":717,"eyebrow":718,"navLabel":719},"ch09","Real data from India","Chapter 09","9 Real Indian data",{"id":721,"type":43,"markdown":722},"rain-prose","Data becomes exciting when it describes something real. Mumbai is famous for its monsoon. The table shows how much rain Mumbai gets in an average month, using the India Meteorological Department's long-term averages for 1991–2020 at the Mumbai (Santacruz) station, rounded to the nearest millimetre.\n\nLook at the pattern: almost nothing from November to May, then a flood from June to September. July alone brings about 920 mm, which is more than 90 cm — taller than most classroom desks! The whole year adds up to about **2,502 mm**.",{"id":724,"type":103,"caption":725,"columns":726,"rows":729},"table-rain","Mumbai (Santacruz): average rainfall in each month (IMD normals 1991–2020, rounded, mm). Bar: █ ≈ 50 mm",[727,728,387],"Month","Rainfall (mm)",[730,733,735,737,739,741,745,749,752,755,759,762],[731,464,732],"Jan","·",[734,464,732],"Feb",[736,464,732],"Mar",[738,464,732],"Apr",[740,252,732],"May",[742,743,744],"Jun","526","███████████",[746,747,748],"Jul","920","██████████████████",[750,751,744],"Aug","561",[753,754,402],"Sep","384",[756,757,758],"Oct","91","██",[760,761,732],"Nov","11",[763,764,732],"Dec","2",{"id":766,"type":133,"itemId":767,"prompt":768,"check":769,"hints":772,"feedback":773},"pr-rain-share","data-handling.discover-rain-monsoon","Using the table, how many millimetres of rain fall in Mumbai in the four monsoon months, June to September, together?",{"kind":297,"answer":770,"tolerance":222,"unit":771},2391,"mm",[],{"correct":774,"incorrect":775},"Yes: 526 + 920 + 561 + 384 = 2,391 mm, which is about 96% of the whole year's rain.","Add the four numbers for June, July, August and September.",{"id":777,"type":47,"variant":427,"title":778,"markdown":779},"rain-aha","The \"average month\" is a strange idea here","The mean monthly rainfall is about 2,502 ÷ 12 ≈ **209 mm**. But no month is anywhere near that! Eight months are much drier and four are much wetter. Averages are powerful, but they can hide the most interesting part of the story. In the Investigate layer you will see what the median says about this data.",{"id":781,"type":43,"markdown":782},"everyday-close","Wherever you go now, try spotting data everywhere: the petrol price board, the cricket commentary (\"his average this season is 48\"), the school attendance register, the calendar on which your grandmother marks the days the milk came. Each one is a list of values waiting for a question.",{"id":784,"type":785,"title":786,"terms":787},"glossary-discover","glossary","Words from this layer",[788,792,795,798,801,804,808,812,815,818,822,825,829,832,835,838,840],{"term":789,"meaning":790,"example":791},"data","Facts, numbers or measurements collected to answer a question.","The heights of all children in Class 5.",{"term":165,"meaning":793,"example":794},"Collecting data by asking people questions.","Asking each classmate their favourite snack.",{"term":796,"meaning":797},"questionnaire","A written set of questions for people to answer, often with boxes to tick.",{"term":48,"meaning":799,"example":800},"Collecting data by watching and counting; also, one single value in a data set.","Counting vehicles at a signal.",{"term":802,"meaning":803},"raw data","Data exactly as collected, before it is sorted or counted.",{"term":805,"meaning":806,"example":807},"tally mark","A short stroke drawn for each item counted; every fifth stroke crosses the previous four to make a group of 5.","卌 || means 7.",{"term":809,"meaning":810,"example":811},"frequency","The number of times a value appears in the data.","Samosa has a frequency of 9.",{"term":813,"meaning":814},"frequency table","A table listing each value (or category) with its frequency.",{"term":816,"meaning":817},"pictograph","A chart that uses repeated symbols to show numbers; a key says what one symbol stands for.",{"term":819,"meaning":820,"example":821},"key","The note on a pictograph telling how many one symbol stands for.","● = 10 mangoes.",{"term":823,"meaning":824},"bar graph","A chart of bars of equal width whose heights (or lengths) show the numbers.",{"term":826,"meaning":827,"example":828},"scale","How much one unit on a graph (such as one square) stands for.","1 square = 10 mangoes.",{"term":830,"meaning":831},"average","One number chosen to represent a whole set of data; usually the mean, but median and mode are averages too.",{"term":489,"meaning":833,"example":834},"The fair share: add all the values and divide by how many there are.","3, 7, 4, 6, 5 → 25 ÷ 5 = 5.",{"term":497,"meaning":836,"example":837},"The middle value once the data is put in order.","126, 128, 131, 132, 135, 138, 140 → 132.",{"term":591,"meaning":574,"example":839},"Shoe sizes 4, 5, 5, 6, 5 → mode 5.",{"term":494,"meaning":841,"example":842},"The difference between the largest and smallest values; it measures spread.","140 − 126 = 14 cm.",{"id":844,"type":845,"title":846,"questions":847},"quiz-discover","quiz","Check your data sense",[848,859,868,878,888,900,909,922,931],{"itemId":849,"prompt":850,"options":851,"correct":146,"why":858},"data-handling.discover-q-tally","A tally shows 卌 卌 ||. What is the frequency?",[852,853,855,856],{"id":140,"label":407},{"id":143,"label":854},"10",{"id":146,"label":393},{"id":149,"label":857},"14","Two gates of 5 make 10, plus 2 strokes: 12.",{"itemId":860,"prompt":861,"options":862,"correct":146,"why":867},"data-handling.discover-q-key","In a pictograph, ★ = 5 children. A row shows ★★★★. How many children?",[863,864,865,866],{"id":140,"label":407},{"id":143,"label":33},{"id":146,"label":331},{"id":149,"label":327},"4 symbols × 5 children = 20. Always use the key.",{"itemId":869,"prompt":870,"options":871,"correct":143,"why":877},"data-handling.discover-q-mean","Three friends have 2, 5 and 8 pencils. If they share equally, each gets…",[872,873,874,875],{"id":140,"label":264},{"id":143,"label":260},{"id":146,"label":403},{"id":149,"label":876},"15","2 + 5 + 8 = 15, and 15 ÷ 3 = 5.",{"itemId":879,"prompt":880,"options":881,"correct":140,"why":887},"data-handling.discover-q-median","What is the median of 9, 2, 6, 4, 7?",[882,883,885,886],{"id":140,"label":256},{"id":143,"label":884},"5.6",{"id":146,"label":407},{"id":149,"label":252},"In order: 2, 4, 6, 7, 9. The middle value is 6. (5.6 is the mean.)",{"itemId":889,"prompt":890,"options":891,"correct":143,"why":899},"data-handling.discover-q-mode","Favourite colours: red, blue, green, blue, yellow, blue, red. What is the mode?",[892,894,895,897],{"id":140,"label":893},"red",{"id":143,"label":63},{"id":146,"label":896},"green",{"id":149,"label":898},"There is no mode","Blue appears 3 times, more than any other colour.",{"itemId":901,"prompt":902,"options":903,"correct":143,"why":908},"data-handling.discover-q-range","The ages of children at a birthday party are 6, 9, 7, 11, 8. What is the range?",[904,905,906,907],{"id":140,"label":407},{"id":143,"label":260},{"id":146,"label":403},{"id":149,"label":761},"Oldest 11 − youngest 6 = 5 years.",{"itemId":910,"prompt":911,"options":912,"correct":143,"why":921},"data-handling.discover-q-fair","Which is the fairest survey question?",[913,915,917,919],{"id":140,"label":914},"Mangoes are the best fruit, aren't they?",{"id":143,"label":916},"Which fruit do you like most?",{"id":146,"label":918},"Do you hate bananas?",{"id":149,"label":920},"Why do you like apples?","It does not push towards any answer.",{"itemId":923,"prompt":924,"options":925,"correct":146,"why":930},"data-handling.discover-q-snack","For a survey of favourite snacks, which average makes sense?",[926,927,928,929],{"id":140,"label":564},{"id":143,"label":568},{"id":146,"label":572},{"id":149,"label":576},"You cannot add or order snacks, but you can find the most popular one: the mode.",{"itemId":932,"prompt":933,"options":934,"correct":146,"why":943},"data-handling.discover-q-scale","The biggest number in your data is 400 and your graph paper is 10 squares tall. A good scale is…",[935,937,939,941],{"id":140,"label":936},"1 square = 1",{"id":143,"label":938},"1 square = 10",{"id":146,"label":940},"1 square = 50",{"id":149,"label":942},"1 square = 1,000","400 ÷ 50 = 8 squares, which fits. 1 square = 10 would need 40 squares.",{"id":945,"type":946,"title":947,"points":948},"cheat-discover","summary","Cheat sheet",[949,950,951,952,953,954,955,956,957],"**Data** is a collection of facts or numbers gathered to answer a question. Start with a clear question.","Collect data by **asking** (survey, questionnaire), **watching and counting** (observation) or **measuring**. Ask fair questions of the right people.","**Raw data** is unsorted. Organise it with **tally marks** (卌 = 5) into a **frequency table**, and check that the frequencies add up to the total.","A **pictograph** uses symbols; always read the **key**. Half a symbol = half the key.","A **bar graph** uses bars of equal width; choose a **scale** so the biggest value fits.","**Mean** = sum ÷ count: the fair share, found by levelling out.","**Median** = middle value after ordering. **Mode** = most common value. **Range** = biggest − smallest.","The mean need not be one of the values, and it can be a fraction.","For words (snacks, colours) only the **mode** makes sense.",{"id":959,"type":960,"prompt":961},"reflect-discover","reflection","Think of one question about your school or family that you could answer with data. How would you collect the data, and which of mean, median, mode or range would help you answer it?",{"id":963,"type":964,"conceptId":965,"relation":966,"explanation":967},"conn-four-ops","connection","four-operations","helps_understand","Finding a mean uses addition and division: the fair share is the total divided by the number of shares.",{"id":969,"type":964,"conceptId":970,"relation":966,"explanation":971},"conn-numbers","number-system","Census data uses big numbers like 121 crore; reading them needs the Indian place-value system.",{"id":973,"type":964,"conceptId":974,"relation":975,"explanation":976},"conn-elec","electricity","applied_in","An electricity bill shows the units used each month: real data you can graph and average.",{"id":978,"type":979,"sourceIds":980},"sources-discover","sources",[981,982,983,984,985,986],"data-handling-ncert-class6-gp","data-handling-ncert-class7","data-handling-mathsisfun-central","data-handling-imd","data-handling-imd-normals","data-handling-census-india",[981,982,983,984,985,986],"needs_review",{"generatedBy":990,"notes":991},"claude-code","Draft generated with Python-checked statistics; pending owner review.","bb34cabb2ba14921d883f21be0f1b8f147c4088914db6be6718ff2ea2859d460",{"logic:practice":994,"component:sort-game@1":995,"component:data-lab@1":996,"component:match-pairs@1":997,"source:data-handling-census-india":998,"source:data-handling-imd":999,"source:data-handling-imd-normals":1000,"source:data-handling-mathsisfun-central":1001,"source:data-handling-ncert-class6-gp":1002,"source:data-handling-ncert-class7":1003},"3d6b0fe1b15255975a32b0fcd94e8019bc959ad45cbf12e136e86149549c6878","b164f45a2c8ca08f26c450768ff0231e113e9fe45381eddb34dc6d0548596c38","466896cc37735f48db03875fe9c9ce42fc8bcb7e5f937c9779d70513703b91bd","2a8ee4ac87460b4e1175a4bb13c96b03d577db06dde95670eb7fcfe4ad787899","934b2e0d1b6222e6346f51e64ffc3e6c8d98db3be7d9a3c8d4cb3da843e8becc","834b555363edd0d5f3a42f5870d2acb5a33c3af5e40ecb43649732edd4cdce2c","f8d2cede5dff9df165f0ad49c28625d281417b1abac9405104cd7e3ff5c50f88","0e1e3ad9dc9f84bb51edeb70e657591671f3d8e7326c34f58c2de0c70e823635","3d89b7ad9db743739787967056153b3afc3772805c18a2f4b73fd681b870cc48","73c4938c33c83e313b3e69ea6d4b3fcd121cfeab65eda7e07e1df7901cfaea2c",{"state":1005,"reviewer":1006,"selfReview":1007,"reviewedAt":1008,"method":1009},"approved","The library owner",true,"2026-09-20T10:18:37.581Z","owner_bulk","preview-7e1cbbcc4f",1789899598056]