Data Handling

{
  "antigravity_content": "### Storytime Math Adventure: The Great Festival Data Dash!\n\n**Setting:** A vibrant Indian village bustling with the sounds of a festival in the air. Brightly colored rangoli patterns decorate the streets, and sweet smells of jalebi waft from the local sweet shop. It\u2019s the time for Diwali, and everyone is busy preparing.\n\n**Characters:**\n- **Ayaan**: A curious and clever 10-year-old who loves to help his community.\n- **Aunty Kavita**: The local sweet shop owner, known for her delicious treats.\n- **Uncle Ramesh**: The friendly auto driver who knows everything about the village.\n\n---\n\n**The Problem:**\nAs the festival approaches, Aunty Kavita realizes she needs to prepare a huge batch of sweets for the Diwali celebration. She wants to know how many sweets to make, so she can manage her ingredients and not run out. But she\u2019s unsure about how to calculate the right amounts based on the previous years\u2019 sales.\n\n**The Data Challenge:**\nOne day, Aunty Kavita calls Ayaan over to her shop. \u201cAyaan! I need your help! Last year, I sold 120 boxes of sweets during the Diwali festival. But I want to know how many boxes I should prepare this year. Can you help me figure out a plan using the sales data from the past three years?\u201d\n\nAyaan, excited to take on the challenge, remembers that they can use data to solve problems. \u201cOf course, Aunty! Let\u0027s see what the data says.\u201d\n\n**Gathering Data:**\nTogether, they gather sales data from the last three years:\n- **Year 1**: 100 boxes\n- **Year 2**: 120 boxes\n- **Year 3**: 140 boxes\n\nAyaan quickly writes them down on a piece of paper:\n\n- Year 1: 100\n- Year 2: 120\n- Year 3: 140\n\n**Calculating the Mean:**\nAyaan remembers that they can find the average (mean) number of boxes sold over these three years to predict how many to make this year. He adds them all up:\n\n\\[ \n100 + 120 + 140 = 360 \n\\]\n\nNext, he divides this total by the number of years (3):\n\n\\[ \n\\text{Mean} = \\frac{360}{3} = 120 \n\\]\n\n\u201cSo, Aunty, the average number of boxes sold is 120. But since the trend shows an increase, should we prepare a few more?\u201d\n\n**Finding the Median and Mode:**\nAyaan thinks for a moment. \u201cLet\u2019s also check the median and mode. The median is the middle value when the numbers are arranged in order.\u201d \n\nArranging the data gives:\n\n- 100, 120, 140\n\nThe middle value (median) is **120**, and since **120** is also the number that appears most frequently, this is the mode as well!\n\n**Making a Decision:**\n\u201cAunty, since the average is 120, the median is also 120, and the mode is 120, I think we should prepare at least 130 boxes this year to account for the increase in demand!\u201d \n\nAunty Kavita beams, \u201cBrilliant, Ayaan! Thank you for your help. Now I can get started on my sweets!\u201d\n\n**The Community Celebration:**\nLater that day, as the festival begins, Ayaan sees Aunty Kavita busy making sweets and watching the boxes fill up. When the day of the festival arrives, she sells all the 130 boxes and even has to make a few extra on the spot! \n\n**Conclusion:**\nThanks to Ayaan\u2019s skills in handling data, Aunty Kavita could plan perfectly, and everyone in the village enjoyed the delicious sweets at the Diwali celebration. \n\n---\n\n**Lesson Summary:**\n- **Understanding Data**: Data is a collection of facts (like sales from previous years).\n- **Mean, Median, and Mode**: The average helps predict future needs, while median and mode can give insights into trends.\n- **Real-Life Application**: Math isn\u2019t just numbers; it\u2019s a vital tool for planning and decision-making in everyday life, just like in Ayaan\u2019s adventure!\n\n---\n\n**Activity for Children:**\nChildren can gather their own data from a recent event (like birthday parties, festivals, or school events) and calculate the mean, median, and mode of how many friends attended to predict how many snacks to prepare for the next event!",
  "meta": {
    "difficulty_distribution": {
      "1": 10,
      "2": 10,
      "3": 10,
      "4": 10
    },
    "total_questions": 40
  },
  "prompt_id": "cultural_storyteller",
  "prompt_name": "\ud83d\udcd6 Cultural Storyteller (Research: PMC Ghana 2024)",
  "questions": [
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "If he sells 80 kg this week as well, then 80 kg + 80 kg = 160 kg.",
      "id": 1,
      "options": [
        "A) 80 kg",
        "B) 160 kg",
        "C) 240 kg",
        "D) 320 kg"
      ],
      "question": "Raju and his amma are buying vegetables at the sabzi mandi. The vendor says he sold 80 kilograms of tomatoes last week. If he sells the same amount this week, how many kilograms will he have sold in total?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "Total distance = 2 laps * 400 m = 800 m.",
      "id": 2,
      "options": [
        "A) 800 m",
        "B) 600 m",
        "C) 400 m",
        "D) 200 m"
      ],
      "question": "During the school sports day, Priya needs to calculate the total distance her team ran. If her team ran 2 laps of 400 meters each, how far did they run in total?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "Mangoes left = 150 - 30 = 120.",
      "id": 3,
      "options": [
        "A) 120",
        "B) 100",
        "C) 130",
        "D) 150"
      ],
      "question": "Amit is helping his father sell mangoes at the market. They started with 150 mangoes. If they sold 30 mangoes, how many do they have left?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "Total flowers = 25 + 15 + 10 = 50.",
      "id": 4,
      "options": [
        "A) 50",
        "B) 40",
        "C) 30",
        "D) 20"
      ],
      "question": "Leela is counting the number of flowers in her garden. She has 25 roses, 15 lilies, and 10 sunflowers. How many flowers does she have in total?"
    },
    {
      "correct_answer": "B",
      "difficulty": 1,
      "explanation": "Total bottles = 45 + 10 = 55.",
      "id": 5,
      "options": [
        "A) 50",
        "B) 55",
        "C) 60",
        "D) 65"
      ],
      "question": "Raj and his friends collected 45 bottles for recycling. If they collect 10 more bottles next week, how many will they have in total?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "Students from other classes = 30 - 10 = 20.",
      "id": 6,
      "options": [
        "A) 20",
        "B) 10",
        "C) 30",
        "D) 15"
      ],
      "question": "In a drawing competition, 30 students participated. If 10 of them were from Class 7, how many were from other classes?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "Total sweets = 5 boxes * 10 sweets = 50 sweets.",
      "id": 7,
      "options": [
        "A) 50",
        "B) 30",
        "C) 20",
        "D) 40"
      ],
      "question": "Nisha has 5 boxes of sweets with 10 sweets in each box. How many sweets does she have in total?"
    },
    {
      "correct_answer": "C",
      "difficulty": 1,
      "explanation": "Total crackers = 3 packets * 12 crackers = 36 crackers.",
      "id": 8,
      "options": [
        "A) 24",
        "B) 30",
        "C) 36",
        "D) 12"
      ],
      "question": "During a festival, Ravi bought 3 packets of crackers. If each packet contains 12 crackers, how many crackers did Ravi buy?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "Cupcakes left = 24 - 6 = 18.",
      "id": 9,
      "options": [
        "A) 18",
        "B) 20",
        "C) 22",
        "D) 16"
      ],
      "question": "Anju baked 24 cupcakes for her friend\u0027s birthday. If she gives away 6 cupcakes, how many does she have left?"
    },
    {
      "correct_answer": "A",
      "difficulty": 1,
      "explanation": "Total score = 45 + 30 = 75 runs.",
      "id": 10,
      "options": [
        "A) 70",
        "B) 75",
        "C) 80",
        "D) 85"
      ],
      "question": "At the cricket ground, Team A scored 45 runs in the first inning and 30 runs in the second inning. What is their total score?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "Each student gets = 60 sandwiches / 15 students = 4 sandwiches.",
      "id": 11,
      "options": [
        "A) 4",
        "B) 5",
        "C) 6",
        "D) 3"
      ],
      "question": "Ayaan\u0027s school is organizing a picnic. They have 60 sandwiches. If they need to share them equally among 15 students, how many sandwiches does each student get?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "Boxes left = 200 - 120 = 80 boxes.",
      "id": 12,
      "options": [
        "A) 80",
        "B) 100",
        "C) 70",
        "D) 90"
      ],
      "question": "During the Diwali festival, Aunty Kavita prepared 200 boxes of sweets. If she sold 120 boxes, how many boxes are left?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "Average score = (90 + 110) / 2 = 100 runs.",
      "id": 13,
      "options": [
        "A) 100",
        "B) 110",
        "C) 95",
        "D) 105"
      ],
      "question": "In a cricket match, Team B scored 90 runs in the first inning and 110 in the second. What is their average score?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "Mean score = (40 + 50 + 60 + 70) / 4 = 55.",
      "id": 14,
      "options": [
        "A) 55",
        "B) 60",
        "C) 50",
        "D) 70"
      ],
      "question": "A teacher collected marks from her students in a test. If the scores are 40, 50, 60, and 70, what is the mean score?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "Each friend gets = 150 coins / 5 friends = 30 coins.",
      "id": 15,
      "options": [
        "A) 25",
        "B) 30",
        "C) 35",
        "D) 20"
      ],
      "question": "Ravi and his friends collected 150 coins. If they want to divide them equally among 5 friends, how many coins will each friend get?"
    },
    {
      "correct_answer": "D",
      "difficulty": 2,
      "explanation": "Total crayons = 3 packs * 8 crayons - 10 = 24 - 10 = 14 crayons.",
      "id": 16,
      "options": [
        "A) 10",
        "B) 15",
        "C) 20",
        "D) 14"
      ],
      "question": "Nina has 3 packs of crayons. Each pack contains 8 crayons. If she gives away 10 crayons, how many does she have left?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "Total attendees = 70 + 20 = 90 people.",
      "id": 17,
      "options": [
        "A) 80",
        "B) 90",
        "C) 100",
        "D) 70"
      ],
      "question": "At the temple, 70 people attended the evening prayers. If 20 more people arrive, what will be the total number of attendees?"
    },
    {
      "correct_answer": "A",
      "difficulty": 2,
      "explanation": "Students from other classes = 120 - 30 = 90.",
      "id": 18,
      "options": [
        "A) 90",
        "B) 70",
        "C) 80",
        "D) 60"
      ],
      "question": "During a science fair, 120 students participated. If 30 students were from Class 7, how many were from other classes?"
    },
    {
      "correct_answer": "B",
      "difficulty": 2,
      "explanation": "Arranging the scores: 70, 80, 90, 100. Median = (80 + 90) / 2 = 85.",
      "id": 19,
      "options": [
        "A) 85",
        "B) 90",
        "C) 80",
        "D) 70"
      ],
      "question": "In a drawing competition, the scores are as follows: 70, 80, 90, and 100. What is the median score?"
    },
    {
      "correct_answer": "C",
      "difficulty": 2,
      "explanation": "Total score = 4 + 3 = 7 goals.",
      "id": 20,
      "options": [
        "A) 6",
        "B) 8",
        "C) 7",
        "D) 9"
      ],
      "question": "In a football tournament, Team A scored 4 goals in the first match and 3 goals in the second match. What is their total score?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "Percentage of students who voted = (150/240) * 100 = 62.5%.",
      "id": 21,
      "options": [
        "A) 50%",
        "B) 60%",
        "C) 70%",
        "D) 80%"
      ],
      "question": "During the school election, there are 240 students eligible to vote. If 150 students voted, what percentage of students voted?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "Average score = (240 + 210) / 2 = 225 runs.",
      "id": 22,
      "options": [
        "A) 225",
        "B) 230",
        "C) 240",
        "D) 220"
      ],
      "question": "In a cricket tournament, Team A scored 240 runs in the first match and 210 runs in the second match. What is their average score?"
    },
    {
      "correct_answer": "C",
      "difficulty": 3,
      "explanation": "Initial total = 25 + 30 + 20 + 100 = 175 pieces.",
      "id": 23,
      "options": [
        "A) 200",
        "B) 150",
        "C) 170",
        "D) 180"
      ],
      "question": "Ayesha has 5 types of sweets. She sold 25 pieces of one type, 30 of another, and 20 of the third. If she has 100 pieces left, how many did she have initially?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "Adults present = 300 - 120 = 180.",
      "id": 24,
      "options": [
        "A) 180",
        "B) 170",
        "C) 200",
        "D) 150"
      ],
      "question": "During the Diwali festival, 300 people attended the celebration. If 120 were children, how many adults were present?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "Crackers left = 120 - 75 = 45.",
      "id": 25,
      "options": [
        "A) 30",
        "B) 40",
        "C) 50",
        "D) 60"
      ],
      "question": "Ravi\u0027s family bought 120 crackers. If they used 75 during Diwali, how many are left?"
    },
    {
      "correct_answer": "B",
      "difficulty": 3,
      "explanation": "Percentage of students who won = (50/200) * 100 = 25%.",
      "id": 26,
      "options": [
        "A) 20%",
        "B) 25%",
        "C) 30%",
        "D) 35%"
      ],
      "question": "At the local fair, 200 students participated in various competitions. If 50 students won prizes, what percentage of students won prizes?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "Ratio = 300:200 = 3:2.",
      "id": 27,
      "options": [
        "A) 3:2",
        "B) 2:3",
        "C) 4:1",
        "D) 1:2"
      ],
      "question": "During a survey, out of 500 families, 300 own a car, and 200 do not. What is the ratio of families that own a car to those that do not?"
    },
    {
      "correct_answer": "D",
      "difficulty": 3,
      "explanation": "There is no mode because all scores are unique.",
      "id": 28,
      "options": [
        "A) 70",
        "B) 80",
        "C) 90",
        "D) None of the above"
      ],
      "question": "In a drawing competition, the scores are 50, 60, 70, 80, and 90. What is the mode of the scores?"
    },
    {
      "correct_answer": "A",
      "difficulty": 3,
      "explanation": "Total score = 120 + 180 = 300 runs.",
      "id": 29,
      "options": [
        "A) 280",
        "B) 300",
        "C) 250",
        "D) 290"
      ],
      "question": "In a cricket match, Team C scored 120 runs in the first inning and 180 in the second. What is their total score?"
    },
    {
      "correct_answer": "C",
      "difficulty": 3,
      "explanation": "Fraction of stalls selling food = 60/150 = 2/5.",
      "id": 30,
      "options": [
        "A) 1/3",
        "B) 2/5",
        "C) 3/5",
        "D) 4/5"
      ],
      "question": "At a local market, there are 150 stalls. If 60 are selling food, what fraction of the stalls are selling food?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "Arranging data: 100, 120, 140, 160, 180. Median = 140.",
      "id": 31,
      "options": [
        "A) 140",
        "B) 150",
        "C) 120",
        "D) 160"
      ],
      "question": "During a festival, Aunty Kavita collected the following data on sweet sales: 100, 120, 140, 160, 180. What is the median?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "Mean score = (250 + 300 + 200 + 400) / 4 = 287.5.",
      "id": 32,
      "options": [
        "A) 250",
        "B) 300",
        "C) 350",
        "D) 400"
      ],
      "question": "In a cricket tournament, the final scores were 250, 300, 200, and 400. What is the mean score?"
    },
    {
      "correct_answer": "D",
      "difficulty": 4,
      "explanation": "There is no mode as all donations are unique.",
      "id": 33,
      "options": [
        "A) 2000",
        "B) 1500",
        "C) 1000",
        "D) None of the above"
      ],
      "question": "Ayesha is organizing a charity event and wants to analyze the donations. If the donations are 1000, 2000, 1500, and 3000, what is the mode?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "Students preferring badminton = 200 - (40% + 30%) of 200 = 200 - 140 = 60.",
      "id": 34,
      "options": [
        "A) 60",
        "B) 80",
        "C) 70",
        "D) 90"
      ],
      "question": "In a school survey, 40% of students prefer playing cricket, 30% prefer football, and the rest prefer badminton. If there are 200 students, how many prefer badminton?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "Range = Maximum value - Minimum value = 800 - 500 = 300.",
      "id": 35,
      "options": [
        "A) 300",
        "B) 200",
        "C) 400",
        "D) 500"
      ],
      "question": "At the end of the year, Ayaan\u0027s savings are recorded as follows: 500, 700, 800, and 600. What is the range of his savings?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "Mode is the number that appears most frequently: 15.",
      "id": 36,
      "options": [
        "A) 10",
        "B) 15",
        "C) 12",
        "D) 18"
      ],
      "question": "For a school project, Raju collected data on the number of books read by students: 10, 15, 10, 12, 15, 18. What is the mode of this data?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "Students liking bananas = 100 - (20 + 30) = 50.",
      "id": 37,
      "options": [
        "A) 50",
        "B) 40",
        "C) 60",
        "D) 70"
      ],
      "question": "In a survey about favorite fruits among 100 students, 20 liked mangoes, 30 liked apples, and the rest liked bananas. How many liked bananas?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "Mean score = (150 + 200 + 250 + 300 + 350) / 5 = 250.",
      "id": 38,
      "options": [
        "A) 225",
        "B) 250",
        "C) 275",
        "D) 300"
      ],
      "question": "At a local fair, the scores of 5 games were 150, 200, 250, 300, and 350. What is the mean score?"
    },
    {
      "correct_answer": "B",
      "difficulty": 4,
      "explanation": "Arranging the ages: 15, 15, 16, 17, 18. Median = 16.",
      "id": 39,
      "options": [
        "A) 15",
        "B) 16",
        "C) 17",
        "D) 18"
      ],
      "question": "During a sports event, if the ages of participants are 15, 16, 15, 17, and 18, what is the median age?"
    },
    {
      "correct_answer": "A",
      "difficulty": 4,
      "explanation": "Amount from one type of sweet = 30% of 2000 = 600 rupees.",
      "id": 40,
      "options": [
        "A) 600",
        "B) 500",
        "C) 700",
        "D) 800"
      ],
      "question": "If Aunty Kavita sold sweets worth 2000 rupees and 30% of her sales were from one type of sweet, how much was that?"
    }
  ],
  "source_ixl_skills": [],
  "topic": "Data Handling"
}