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

Instructions

Read each question carefully. This worksheet explores how we can understand information, spot patterns, and make smart guesses using data. For the multiple-choice questions, circle the letter of the best answer. For the short-answer questions, write your answer clearly on the line provided or in the space below the question.

Section A: Objective Questions

Use the data provided to answer the questions that follow.

Questions 1-4 are based on the bar chart data below, showing the favourite hobbies of a group of students.

1. Which hobby is the most popular?
• A) Reading
• B) Gaming
• C) Sports
• D) Art
2. How many students were surveyed in total?
• A) 40
• B) 45
• C) 50
• D) 55
3. How many more students chose Gaming than Art?
• A) 2
• B) 8
• C) 16
• D) 24
4. If 4 more students said they preferred Sports, which statement would be true?
• A) Sports would be the most popular hobby.
• B) Art would be more popular than Reading.
• C) Sports and Gaming would be equally popular.
• D) Reading would be the least popular hobby.

Questions 5-8 are based on the line graph data below, showing the temperature in London on a day in May.

5. What was the temperature at 9:00 AM?
• A) 8°C
• B) 17°C
• C) 12°C
• D) 19°C
6. What is the overall trend of the temperature between 6:00 AM and 3:00 PM?
• A) It is decreasing.
• B) It is increasing.
• C) It stays the same.
• D) It increases then decreases.
7. What is the range of the temperatures recorded? (Range = Highest value - Lowest value)
• A) 19°C
• B) 8°C
• C) 11°C
• D) 5°C
8. Based on the pattern, the temperature at 9:00 PM is most likely to be:
• A) Higher than 15°C
• B) Exactly 19°C
• C) Lower than 15°C
• D) Exactly 8°C

Questions 9-12 refer to the following list of numbers, which are the scores from a dice game (10 rolls).

Scores: 5, 2, 6, 1, 5, 3, 4, 5, 2, 4

9. What is the mode of this data set? (The number that appears most often)
• A) 2
• B) 4
• C) 5
• D) 6
10. What is the median of this data set? (The middle number when they are in order)
• A) 3
• B) 4
• C) 4.5
• D) 5
11. What is the mean average of the scores? (Sum of scores divided by the number of scores)
• A) 3.7
• B) 4.2
• C) 5.0
• D) 37
12. True or False: More than half of the rolls were a score of 4 or higher.
• A) True
• B) False

Questions 13-16 are based on the pictogram below, showing the number of pizzas sold by a pizzeria from Monday to Wednesday.

Monday: 🍕 🍕 🍕

Tuesday: 🍕 🍕 🍕 🍕

Wednesday: 🍕 🍕

Key: 🍕 = 10 pizzas

13. How many pizzas were sold on Monday?
• A) 3
• B) 10
• C) 20
• D) 30
14. On which day were 40 pizzas sold?
• A) Monday
• B) Tuesday
• C) Wednesday
• D) None
15. What is the total number of pizzas sold over the three days?
• A) 9
• B) 90
• C) 100
• D) 80
16. If the pattern continued, how many pizza symbols would you expect for Thursday?
• A) 1
• B) 2
• C) 3
• D) 5

Questions 17-20 are general data questions.

17. Which of these is NOT a measure of central tendency?
• A) Mean
• B) Median
• C) Mode
• D) Range
18. A survey asks people to choose their favourite colour. What is the best way to display this data to easily see which colour is most popular?
• A) Line graph
• B) Bar chart
• C) A story
• D) A calculation
19. "The number of students in our school has grown every year for the last 5 years." This statement is a:
• A) Question
• B) Data set
• C) Conclusion
• D) Tally chart
20. You want to track your height every month for a year to see how you grow. The best type of graph to show this change over time would be a:
• A) Pictogram
• B) Pie Chart
• C) Line Graph
• D) Bar Chart

Section B: Subjective Questions

Read the information and write your answers in full sentences where needed.

Questions 1-4 are based on this table showing the number of ice creams sold at a park cafe over six months.

1. Describe the pattern in ice cream sales from March to July.
   _________________________________________________________________________
   _________________________________________________________________________


2. Why do you think the sales were highest in July and August?
   _________________________________________________________________________
   _________________________________________________________________________


3. The cafe owner thinks about 1,000 ice creams will be sold in December. Based on the data, is this a reasonable prediction? Explain your answer.
   _________________________________________________________________________
   _________________________________________________________________________


4. Predict the number of ice creams that might be sold in September. Explain the reason for your prediction.
   _________________________________________________________________________
   _________________________________________________________________________

Questions 5-7 are based on the data below which shows the time (in minutes) a group of students spent on homework on Monday and Friday.

Monday: 30, 45, 25, 30, 50, 60, 35
Friday: 15, 20, 10, 0, 20, 15, 25

5. Calculate the mean (average) time spent on homework for Monday and for Friday.
   Monday Mean: _____________________
   Friday Mean: ______________________


6. What is the main difference you notice when you compare the homework times for the two days?
   _________________________________________________________________________
   _________________________________________________________________________


7. Based on the data, draw a conclusion about the students' homework habits on Mondays versus Fridays. Why might this be the case?
   _________________________________________________________________________
   _________________________________________________________________________

Questions 8-10 are based on the following scenario.

A scientist is testing a new fertilizer. She measures the height of two plants, Plant A (with fertilizer) and Plant B (without fertilizer), every week for 4 weeks. The results are in the table.

8. What was the total growth for Plant A over the 4 weeks? What was the total growth for Plant B?
   Plant A Total Growth: ______________
   Plant B Total Growth: ______________


9. Describe the growth pattern of Plant A compared to Plant B.
   _________________________________________________________________________
   _________________________________________________________________________


10. Based on this experiment, what conclusion can the scientist draw about the new fertilizer?
    _________________________________________________________________________
    _________________________________________________________________________

Answer Key

Section A: Objective Questions

1. B) Gaming (It has the highest number of students, 16).
2. C) 50 (16 + 12 + 14 + 8 = 50).
3. B) 8 (Gaming has 16, Art has 8. 16 - 8 = 8).
4. A) Sports would be the most popular hobby. (Sports would become 14 + 4 = 18, which would be the highest value).
5. C) 12°C
6. B) It is increasing. (From 8°C up to 19°C).
7. C) 11°C (Highest is 19°C, Lowest is 8°C. 19 - 8 = 11).
8. C) Lower than 15°C (The trend shows the temperature is now decreasing after 3:00 PM).
9. C) 5 (The number 5 appears 3 times, more than any other number).
10. C) 4.5 (Ordered: 1, 2, 2, 3, 4, 4, 5, 5, 5, 6. The middle two numbers are 4 and 5. The median is (4+5)/2 = 4.5).
11. A) 3.7 (Sum = 37. Number of rolls = 10. Mean = 37/10 = 3.7).
12. A) True (The scores 4, 4, 5, 5, 5, 6 are 4 or higher. That is 6 out of 10 rolls).
13. D) 30 (3 symbols x 10 pizzas per symbol = 30).
14. B) Tuesday (4 symbols x 10 pizzas per symbol = 40).
15. B) 90 (30 on Mon + 40 on Tues + 20 on Wed = 90).
16. A) 1 (The pattern is decreasing by 1 symbol each day, so Thursday would likely have 1 symbol).
17. D) Range (Range is a measure of spread, not central tendency).
18. B) Bar chart (Bar charts are excellent for comparing categories).
19. C) Conclusion (It is a summary statement based on observing data over time).
20. C) Line Graph (Line graphs are best for showing how data changes over time).

Section B: Subjective Questions

(Note: Student answers may vary slightly but should reflect the same reasoning.)

1. Describe the pattern...
   The number of ice creams sold increases each month from March to July. The increase is steady and gets larger each month.
2. Why were sales highest...
   July and August are summer months when the weather is hottest, and more people are likely on holiday or visiting parks, so they buy more ice creams to cool down.
3. Is 1,000 in December reasonable...
   No, this is not a reasonable prediction. The data shows sales are linked to warm weather. December is a cold, winter month, so sales would likely be very low, probably even lower than in March.
4. Predict sales for September...
   A good prediction would be between 400 and 600. The weather starts to get cooler in September after the peak of summer, so sales would likely decrease from the August number but still be higher than early spring.
5. Calculate the mean...
   Monday Mean: (30+45+25+30+50+60+35) / 7 = 275 / 7 = 39.3 minutes (approx.)
   Friday Mean: (15+20+10+0+20+15+25) / 7 = 105 / 7 = 15 minutes
6. What is the main difference...
   Students spend significantly more time on homework on Monday than on Friday. The average time is more than double.
7. Draw a conclusion...
   Conclusion: Students do most of their homework at the start of the school week and less at the end. This might be because they want to have their weekend free, or because teachers assign less homework due on a Monday.
8. What was the total growth...
   Plant A Total Growth: 20cm - 5cm = 15 cm
   Plant B Total Growth: 11cm - 5cm = 6 cm
9. Describe the growth pattern...
   Plant A grew at a steady, consistent rate of 5 cm per week. Plant B also grew, but at a slower and less consistent rate (it grew 2cm, then 2cm, then 2cm). Plant A grew much faster and more than Plant B overall.
10. What conclusion can the scientist draw...
    The scientist can conclude that the fertilizer is effective. The plant with the fertilizer (Plant A) grew significantly more than the plant without it (Plant B) over the same period.