Data Handling and Statistical Inquiry Worksheet for 11-Year-Olds | 20 Objective & 10 Subjective Questions

Free worksheet covering multiple subjects for age 11 students. Created with Learning Corner's AI-powered tools.

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Instructions

Read each question carefully. For the objective questions, circle the best answer. For the subjective questions, write your full answer in the space provided. Use the data in the tables and scenarios to help you. Good luck!

Objective Questions

For questions 1 and 2, use the information in this table.

Favourite Hobby Number of Students
Video Games 12
Reading 7
Playing Sports 9
Art 5
  1. Which hobby is the most popular?
    1. Reading
    2. Playing Sports
    3. Video Games
    4. Art

  2. How many more students chose Playing Sports than Art?
    1. 2
    2. 4
    3. 5
    4. 9

  3. What is the mean (average) of this set of numbers: 2, 5, 6, 7?
    1. 5
    2. 6
    3. 7
    4. 20

  4. What is the median (middle value) of this set of numbers: 3, 9, 4, 1, 8?
    1. 9
    2. 3
    3. 4
    4. 1

  5. What is the mode (most frequent value) of this set of numbers: 5, 2, 9, 2, 7, 5, 2?
    1. 5
    2. 9
    3. 7
    4. 2

  6. The daily temperatures for a week were 15°C, 17°C, 16°C, 19°C, and 20°C. What is the range of the temperatures?
    1. 15°C
    2. 5°C
    3. 20°C
    4. 4°C

  7. A line graph shows the number of cars sold each month. The line has been going up for the last 6 months. What is a reasonable prediction for next month?
    1. Sales will drop to zero.
    2. Sales will stay the same or increase slightly.
    3. Sales will be cut in half.
    4. It is impossible to predict.

  8. If you roll a standard six-sided die once, what is the probability of rolling a 3?
    1. 1 in 3
    2. 3 in 6
    3. 1 in 6
    4. Certain

  9. A bag contains 8 red marbles and 2 blue marbles. What is the likelihood of picking a red marble without looking?
    1. Unlikely
    2. Likely
    3. Impossible
    4. Certain

  10. Which type of graph is best for showing how data changes over time?
    1. Bar chart
    2. Pictogram
    3. Pie chart
    4. Line graph

  11. Which of these is a biased question for a survey?
    1. "What is your favourite colour?"
    2. "Do you agree that summer is the best season?"
    3. "How many times did you go to the cinema last month?"
    4. "Which sport do you prefer: football or basketball?"

  12. What is the best way to find out the favourite lunch food in your school?
    1. Ask your 3 best friends.
    2. Guess based on what you like.
    3. Conduct a survey with a large number of students from different year groups.
    4. Only ask the kitchen staff.

  13. The term 'data' in statistics refers to:
    1. Only numbers.
    2. Only opinions.
    3. A collection of facts, numbers, or information.
    4. The answer to a question.

  14. True or False: The range of a data set is found by adding the highest and lowest values.
    1. True
    2. False

  15. A spinner is divided into 4 equal sections: red, blue, green, and yellow. What is the chance it will land on blue?
    1. 1/2
    2. 1/4
    3. 3/4
    4. 4/4

  16. What does the tally mark group '||||' represent?
    1. 4
    2. 6
    3. 5
    4. A mistake

  17. What does 'frequency' mean in a frequency table?
    1. How difficult the question is.
    2. How often something happens.
    3. The average result.
    4. The most popular answer.

  18. Which type of graph is best for comparing the number of students who prefer different fruits?
    1. Line graph
    2. Bar chart
    3. Temperature chart
    4. A map

  19. If an event is 'impossible', what is its probability?
    1. 1
    2. 0
    3. 1/2
    4. 100

  20. To find the median, what must you do to the data set first?
    1. Find the total.
    2. Put the numbers in order.
    3. Find the biggest number.
    4. Remove any repeating numbers.

Subjective Questions

Write your answers in the space below each question. Show your work where needed.

  1. You want to investigate the most popular flavour of crisps in your class. Write one clear, unbiased question you could ask each classmate.

    _________________________________________________________________________

    _________________________________________________________________________


  2. A student recorded the colours of cars passing the school gate. Here is their data:

    Red, Blue, Silver, Red, Black, Silver, Red, White, Blue, Red

    Create a simple tally and frequency chart for this data.



  3. Find the mean of these numbers: 10, 15, 8, 9, 13. Please show your work.

    _________________________________________________________________________

    _________________________________________________________________________


  4. Here is a list of test scores: 85, 90, 75, 90, 80. What is the mode and what is the median?

    _________________________________________________________________________

    _________________________________________________________________________


  5. A survey asks: "Do you prefer thrilling, fun rollercoasters or dull, slow carousels?" Explain why this is a bad question for an investigation.

    _________________________________________________________________________

    _________________________________________________________________________


  6. A sunflower is measured each week.

    Week 1: 10cm, Week 2: 15cm, Week 3: 20cm, Week 4: 25cm.

    Based on this trend, what do you predict the height of the sunflower will be in Week 5? Explain your reasoning.

    _________________________________________________________________________

    _________________________________________________________________________


  7. Explain the difference between the 'mean' and the 'mode' of a data set.

    _________________________________________________________________________

    _________________________________________________________________________


  8. If you roll a standard six-sided die, are you more likely to roll an even number or an odd number? Explain your answer.

    _________________________________________________________________________

    _________________________________________________________________________


  9. You want to find out if students in your year group get enough sleep. How could you investigate this? Name one problem you might face.

    _________________________________________________________________________

    _________________________________________________________________________


  10. A pie chart shows that 50% of students in a class of 24 walk to school. How many students walk to school? Explain how you found the answer.

    _________________________________________________________________________

    _________________________________________________________________________

Answer Key

Objective Questions

  1. C. Video Games
  2. B. 4 (9 - 5 = 4)
  3. A. 5 (2+5+6+7 = 20; 20 / 4 = 5)
  4. C. 4 (Numbers in order: 1, 3, 4, 8, 9)
  5. D. 2 (It appears 3 times)
  6. B. 5°C (20°C - 15°C = 5°C)
  7. B. Sales will stay the same or increase slightly.
  8. C. 1 in 6
  9. B. Likely (There are many more red than blue)
  10. D. Line graph
  11. B. "Do you agree that summer is the best season?"
  12. C. Conduct a survey with a large number of students from different year groups.
  13. C. A collection of facts, numbers, or information.
  14. B. False (It's subtraction)
  15. B. 1/4
  16. A. 4
  17. B. How often something happens.
  18. B. Bar chart
  19. B. 0
  20. B. Put the numbers in order.

Subjective Questions

(Note: Some answers may vary slightly. The provided answers are examples.)

  1. Example Answer: "What is your single favourite flavour of crisps?" or "Of the following crisp flavours, which one is your favourite?"
  2. Colour Tally Frequency
    Red |||| 4
    Blue || 2
    Silver || 2
    Black | 1
    White | 1
  3. Answer: The mean is 11.
    Work: 10 + 15 + 8 + 9 + 13 = 55. Then, 55 ÷ 5 = 11.
  4. Answer: The mode is 90 (it appears most often). The median is 85 (Scores in order: 75, 80, 85, 90, 90).
  5. Example Answer: This is a bad question because it is biased. It uses descriptive words like "thrilling, fun" and "dull, slow" to influence the person's answer towards rollercoasters.
  6. Prediction: 30cm.
    Reasoning: The sunflower is growing 5cm each week, so the pattern is to add 5cm to the previous week's height (25cm + 5cm = 30cm).
  7. Example Answer: The mean is the average, found by adding all the numbers and dividing by how many numbers there are. The mode is simply the number that appears most frequently in the list.
  8. Answer: They are equally likely.
    Explanation: There are three even numbers (2, 4, 6) and three odd numbers (1, 3, 5). The chances are 3 out of 6 for both.
  9. Investigation Idea: Create a short, anonymous survey asking students what time they go to sleep and wake up on a school night.
    Potential Problem: Students might not be honest, or they might not know the exact times and just guess.
  10. Answer: 12 students.
    Explanation: 50% means half. Half of 24 is 12. (You can calculate this by doing 24 ÷ 2 = 12).
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