Mathematics Data Handling & Statistical Inquiry Worksheet for 11-Year-Olds

Instructions

Read each question carefully. For the first section, choose the best answer or fill in the blank. For the second section, write your answers in the space provided, showing your reasoning where needed. Good luck!

Part 1: Objective Questions

For questions 1-5, choose the best word from the box to complete the sentence.

1. Information collected, like numbers or facts, is called ______________.
2. A method of collecting information by asking a group of people questions is a ______________.
3. The difference between the highest and lowest value in a data set is the ______________.
4. A general direction in which something is developing or changing over time is a ______________.
5. An educated guess about what might happen in the future based on data is a ______________.

For questions 6-10, use the frequency table below which shows the favourite subjects of a group of students.

6. Which subject is the most popular?
   • A) Maths
   • B) Science
   • C) Art
   • D) P.E.
7. How many students were surveyed in total?
   • A) 30
   • B) 12
   • C) 36
   • D) 40
8. Which subject is the mode?
   • A) P.E.
   • B) Maths
   • C) Art
   • D) Science
9. True or False: More students chose Maths and P.E. combined than chose Science.
10. If a new student joins the group, which subject would you predict is their favourite?
    • A) Maths
    • B) P.E.
    • C) Science
    • D) Art

For questions 11-15, look at the bar chart showing the number of goals scored by a football team in five matches.

11. In which match did the team score the fewest goals?
    • A) Match 1
    • B) Match 5
    • C) Match 3
    • D) Match 4
12. What is the mode of the number of goals scored?
    • A) 1 goal
    • B) 2 goals
    • C) 3 goals
    • D) 4 goals
13. What is the total number of goals scored in all five matches?
    • A) 10
    • B) 13
    • C) 15
    • D) 12
14. True or False: The number of goals scored is generally increasing over the five matches.
15. A reasonable prediction for the number of goals in Match 6 would be:
    • A) 0 goals
    • B) 1 goal
    • C) 3 goals
    • D) 10 goals

For questions 16-20, answer the following general questions about data handling.

16. The average of a set of numbers is also called the:
    • A) Mode
    • B) Mean
    • C) Range
    • D) Trend
17. A prediction based on data is:
    • A) Always correct.
    • B) Always wrong.
    • C) A wild guess.
    • D) An informed estimate.
18. Which of these is NOT a good way to collect data about favourite movies from your class?
    • A) A hands-up vote
    • B) Asking only your best friend
    • C) A paper survey for everyone
    • D) An online poll for the class
19. A line graph is best used for:
    • A) Showing how many people like pizza.
    • B) Showing how data changes over time.
    • C) Comparing the heights of 5 different animals.
    • D) Showing parts of a whole.
20. If you toss a fair coin 50 times, what is a reasonable prediction for the number of times it will land on heads?
    • A) About 50 times
    • B) About 5 times
    • C) About 25 times
    • D) Exactly 50 times

Part 2: Subjective Questions

Write your answers clearly. Show your work or explain your reasoning.

1. The following numbers are the ages of 10 children at a party:
   9, 10, 11, 10, 12, 11, 10, 9, 11, 11
   Organise this data into a tally and frequency table.


2. Using your table from question 1, what is the mode of the ages?


3. A gardener measures the height of a sunflower each week. The results are: Week 1 (10cm), Week 2 (20cm), Week 3 (30cm), Week 4 (40cm). What is the trend in the plant's growth?


4. Based on the data in question 3, what would you predict the height of the sunflower will be in Week 5? Explain your answer.


5. Look at this list of daily temperatures (°C) for a city over one week:
   Mon: 15°C, Tue: 17°C, Wed: 16°C, Thu: 19°C, Fri: 20°C
   Calculate the mean temperature for these 5 days. (Show your work).


6. Looking at the temperature data in question 5, what would be a reasonable prediction for the temperature on Saturday? Why?


7. A spinner has 8 equal sections. 4 are red, 3 are blue, and 1 is yellow. If you spin it 40 times, which colour do you predict will come up most often? Explain your reasoning.


8. You want to investigate the most common method students use to travel to your school (e.g., walk, bike, bus, car). Write one clear survey question you could ask your classmates.


9. A library tracks the number of books borrowed each day:
   Mon: 35, Tue: 40, Wed: 38, Thu: 55, Fri: 70.
   Why might the number of books borrowed be so much higher on Friday? Make a logical prediction.


10. A student's scores on five maths quizzes were: 60%, 65%, 75%, 80%, 90%. Do you think the student is likely to score above or below 85% on the next quiz? Justify your prediction.

Answer Key

Part 1: Objective Questions

1. Data
2. Survey
3. Range
4. Trend
5. Prediction
6. B) Science
7. C) 36 (8 + 12 + 10 + 6)
8. D) Science (It has the highest frequency)
9. False (Maths + P.E. = 8 + 6 = 14, which is more than Science at 12. So the statement is True. Correction: The answer is True. Let's re-read. "More students chose Maths and P.E. combined than chose Science." 8+6=14. Science is 12. 14 > 12. So the statement is TRUE. My apologies, the question should have been structured better or the answer key adjusted. For the purpose of this worksheet, let's assume the question tests this logic. Let's make the answer True.)
   Correction for question 9: The statement is True. Maths (8) + P.E. (6) = 14, which is greater than Science (12).
10. C) Science (It is the most popular choice, so it's the most likely prediction.)
11. C) Match 3
12. C) 3 goals (It appears twice, more than any other score.)
13. B) 13 (2 + 3 + 1 + 3 + 4)
14. False (It dipped in Match 3, so it's not a steady increase, though the final score is the highest.)
15. C) 3 goals (This is a reasonable prediction as it's the mode and close to the average. 10 goals is too high, 0 or 1 is too low based on recent performance.)
16. B) Mean
17. D) An informed estimate.
18. B) Asking only your best friend (This is biased and not representative of the whole class.)
19. B) Showing how data changes over time.
20. C) About 25 times (A fair coin has a 1 in 2 chance, so you'd expect about half the tosses to be heads.)

Part 2: Subjective Questions

1. Ages at the Party

   Age	Tally	Frequency
   9	||	2
   10	|||	3
   11	||||	4
   12	|	1

2. The mode of the ages is 11, because it is the age that appears most frequently.
3. The trend is that the plant is growing steadily by 10cm each week.
4. I would predict the sunflower will be 50cm in Week 5. The trend shows it grows 10cm each week, so 40cm + 10cm = 50cm.
5. Calculation: (15 + 17 + 16 + 19 + 20) / 5 = 87 / 5 = 17.4°C. The mean temperature is 17.4°C.
6. A reasonable prediction for Saturday would be around 21°C or 22°C. The general trend for the week is an increase in temperature, so it is likely to continue to get slightly warmer.
7. I predict red will come up most often. This is because half of the spinner's sections (4 out of 8) are red, which is more than any other colour. It has the highest probability.
8. (Sample Answer) "How do you usually travel to school? Please choose one option: Walk, Bike, Bus, Car, Other."
9. (Sample Answer) The number might be higher on Friday because people are borrowing books for the weekend.
10. I predict the student will score above 85%. The scores show a clear upward trend, with the student improving significantly on each quiz. Their last score was 90%, so it is likely they will maintain this high performance.