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Mean, Median and Mode Practice Problems with Solutions - IGCSE Year 7

IGCSE Year 7 | Math | Mean, Median and Mode
Name: _________________________ Date: _________________________ Score: _______ / 40

The mean of 4, 6 and 8 is 6 and the median of 3, 8, 5, 2 and 7 is 5, so this Year 7 sheet opens by averaging and by ordering for the middle value. The key records 5 and 3 as mode answers and 40 as a sum.

Key Takeaways

Section A: Multiple Choice Questions (1 Mark Each)

Choose the correct option for each question.
1. The mean of the numbers 4, 6 and 8 is
(a) 4(b) 6(c) 8(d) 18
2. The median of the numbers 3, 8, 5, 2 and 7 is
(a) 3(b) 5(c) 7(d) 8
3. The mode of the data 2, 5, 5, 7, 5, 9 is
(a) 2(b) 5(c) 7(d) 9
4. The mean of the numbers 1, 2, 3, 4 and 5 is
(a) 2(b) 3(c) 4(d) 5
5. The range of the data 3, 9, 4, 12, 7 is
(a) 3(b) 7(c) 9(d) 12
6. If the mean of 4 numbers is 10, then their sum is
(a) 10(b) 40(c) 2.5(d) 14

Section B: Short Answer Type Questions (2 Marks Each)

Show all steps clearly.
7. Find the mean of 5, 7 and 9.
8. Find the median of 1, 4, 2, 6 and 3.
9. Find the mode of 4, 4, 5, 6, 4 and 7.
10. Find the range of 2, 9, 5 and 12.
11. Write the formula for the mean of a set of numbers.
12. Find the mean of 2, 2, 2, 2 and 2.
13. Find the median of 4, 8, 6, 10 and 12.
14. What is the mode of 3, 3, 3 and 3?

Section C: Numericals & Word Problems (3 Marks Each)

Apply the concepts to solve the problems. Show all working.
15. The heights of 5 students are 150 cm, 152 cm, 148 cm, 155 cm and 160 cm. Find the mean height.
16. A student scored 70, 80 and 90 in three tests. Find the mean score.
17. The ages of 5 children are 8, 10, 9, 11 and 12. Find the median age.
18. The shoe sizes of 6 people are 7, 8, 7, 9, 7 and 8. Find the modal size.
19. The daily temperatures over 7 days were 28, 30, 29, 31, 30, 28 and 29 °C. Find the mean temperature.
20. The data set is 5, 9, 3, 8 and 12. Find the range.

Answer Key

1. b) 6
2. b) 5
3. b) 5
4. b) 3
5. c) 9
6. b) 40
7. Refer to solution guide.
8. Refer to solution guide.
9. Refer to solution guide.
10. Refer to solution guide.
11. Refer to solution guide.
12. Refer to solution guide.
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18. Refer to solution guide.
19. Refer to solution guide.
20. Refer to solution guide.
End of Worksheet

People Also Ask

What is the mean of 4, 6 and 8?

6, option (b) in this worksheet (Q1).

What is the median of 3, 8, 5, 2 and 7?

5, option (b) in this worksheet (Q2).

What is the mode of 3, 3, 5, 7, 5?

Recorded as 5, option (b) in this worksheet (Q3).

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