G8 Data Handling

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G8 Data Handling

Math quiz helps us to enhance brains neural network.

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1) A pie chart shows the distribution of sales in four departments of a store: Electronics: 40%, Clothing: 30%, Groceries: 20%, Furniture: 10% If the total sales for the store is ₹5,00,000, how much did the Electronics department contribute?

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2) What type of data is collected from existing sources?

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3) The average monthly temperature of a city (in °C) was recorded over six months:| Month | Jan | Feb | Mar | Apr | May | Jun ||————-|—–|—–|—–|—–|—–|—–|| Temperature | 4 | 7 | 12 | 17 | 22 | 26 |(a) Identify the month with the sharpest temperature rise. (b) Estimate the average increase in temperature per month. (c) Predict temperature in July assuming the same rate continues.

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4) The following table shows the number of cars passing a certain intersection in 10-minute intervals: 0–10 cars: 2 intervals, 10–20 cars: 3 intervals, 20–30 cars: 4 intervals, 30–40 cars: 1 interval Find the mode of the data.

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5) A pie chart shows the spending of a family’s monthly income of ₹60,000 as follows: Rent – 25%, Food – 30%, Education – 20%, Savings – 15%, Others – 10% How much more is spent on Food than on Education?

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6) The following data represents the number of hours spent studying by students in a month: 50, 55, 60, 62, 65, 70, 75, 80, 85, 90 What is the range of the data?

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7) What does a rising line in a line graph usually represent?

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8) In a school, 100 students were surveyed:- 60 like Mathematics – 45 like Science – 25 like both (a) Construct a two-way table. (b) How many like only Mathematics? (c) What is the probability that a student likes Science given they like Mathematics?

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9) What is the purpose of calculating the range of a dataset?

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10) A bar graph shows monthly sales (in ₹ thousands): January – ₹120, February – ₹135, March – ₹150, April – ₹100 What is the percentage increase from April to March?

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11) The following are the marks obtained by a group of students in an exam: 12, 15, 17, 20, 22, 23, 25, 28, 30, 32, 35, 40 Find the interquartile range of the marks.

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12) The following table shows the number of hours worked by a group of employees in a week: Hours worked per week: 20-30 (3 employees), 30-40 (8 employees), 40-50 (12 employees), 50-60 (7 employees) Find the mean number of hours worked per week.

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13) A box contains 5 red balls, 3 green balls, and 2 blue balls. If one ball is drawn at random, what is the probability of drawing a red ball?

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14) The cumulative frequency distribution of exam scores is as follows: Score: 0-10 (3 students), 11-20 (5 students), 21-30 (8 students), 31-40 (7 students), 41-50 (3 students) How many students scored more than 30?

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15) The following histogram shows the frequency distribution of the age of employees in a company: 20–30: 5 employees, 30–40: 10 employees, 40–50: 15 employees, 50–60: 10 employees, 60–70: 5 employees How many employees are aged between 30 and 50?

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16) A line graph shows the population (in thousands) of a town from 2015 to 2020: 2015 – 120, 2016 – 130, 2017 – 142, 2018 – 150, 2019 – 160, 2020 – 172 Assuming the trend continues, predict the population in 2022.

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17) In a quiz, the average marks of Section A with 20 students is 75, and Section B with 30 students is 85. Find the average marks of the entire class.

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18) The following data represents the number of hours worked by employees in a week: 35, 40, 45, 45, 50, 50, 50, 55, 60, 60 Find the mean, median, and mode of this data.

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19) The data below represents the weight (in kg) distribution of 40 students: 40–45: 5 students, 45–50: 10, 50–55: 15, 55–60: 5, 60–65: 5 Find the median weight of the students.

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20) What is the importance of data validation?Data validation ensures data accuracy and quality.

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