Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 478 · 40 questions

How to solve it (Work with totals): Mean = total ÷ how many; so total = mean × how many. Median: put the numbers in order and take the middle one. Mode: the number that appears most often. A number added: new mean = (old total + the number) ÷ (how many + 1).

1. 1.What is the mean of 8, 16, 5, 20 and 21? (a) 14 (b) 15 (c) 13 (d) 16
2. 2.What is the median of 8, 24, 17, 32 and 25? (a) 17 (b) 24 (c) 25 (d) 23
3. 3.What is the mean of 14, 16, 3 and 7? (a) 9 (b) 11 (c) 8 (d) 10
4. 4.What is the mode of 17, 17, 4, 3, 17, 9 and 3? (a) 3 (b) 9 (c) 4 (d) 17
5. 5.What is the median of 33, 13, 11, 40 and 4? (a) 14 (b) 11 (c) 13 (d) 33
6. 6.What is the mode of 10, 17, 10, 12, 12, 8 and 10? (a) 12 (b) 10 (c) 17 (d) 8
7. 7.What is the median of 29, 23, 27, 34 and 1? (a) 29 (b) 23 (c) 27 (d) 28
8. 8.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 21 (b) 12 (c) 15 (d) 14
9. 9.What is the mean of 9, 5, 5 and 5? (a) 5 (b) 8 (c) 6 (d) 7
10. 10.What is the mean of 5, 4, 2, 3, 7 and 3? (a) 3 (b) 5 (c) 6 (d) 4
11. 11.What is the mean of 2, 8, 4 and 10? (a) 6 (b) 5 (c) 7 (d) 8
12. 12.What is the median of 2, 25, 14, 24, 40, 12 and 6? (a) 12 (b) 24 (c) 15 (d) 14
13. 13.What is the mean of 8, 6, 6 and 16? (a) 12 (b) 9 (c) 8 (d) 10
14. 14.What is the median of 21, 24, 12, 39, 5, 36 and 40? (a) 24 (b) 36 (c) 21 (d) 39
15. 15.What is the median of 7, 18, 5, 8, 12, 31 and 29? (a) 13 (b) 12 (c) 8 (d) 18
16. 16.What is the median of 30, 32, 8, 23 and 24? (a) 8 (b) 23 (c) 30 (d) 24
17. 17.The mean of 7 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 30 (b) 18 (c) 21 (d) 22
18. 18.What is the median of 36, 1, 13, 20, 38, 12 and 29? (a) 21 (b) 20 (c) 13 (d) 29
19. 19.What is the mode of 12, 4, 19, 6, 19, 12 and 12? (a) 6 (b) 19 (c) 12 (d) 4
20. 20.What is the mode of 10, 13, 5, 15, 5, 15 and 5? (a) 15 (b) 5 (c) 10 (d) 13
21. 21.What is the mean of 12, 18, 4, 6, 11 and 15? (a) 10 (b) 11 (c) 12 (d) 13
22. 22.What is the mode of 14, 8, 4, 8, 14, 14 and 9? (a) 9 (b) 8 (c) 4 (d) 14
23. 23.What is the median of 33, 1, 40, 8 and 9? (a) 40 (b) 9 (c) 33 (d) 8
24. 24.What is the mode of 17, 18, 17, 18, 1, 18 and 3? (a) 1 (b) 18 (c) 3 (d) 17
25. 25.What is the median of 10, 35, 16, 1, 28, 37 and 29? (a) 28 (b) 29 (c) 16 (d) 1
26. 26.The mean of 4 numbers is 40. When the number 35 is added to them, what is the new mean? (a) 40 (b) 41 (c) 38 (d) 39
27. 27.What is the mode of 15, 19, 19, 19, 3, 10 and 15? (a) 19 (b) 10 (c) 3 (d) 15
28. 28.What is the median of 2, 30, 8, 11, 27, 1 and 9? (a) 10 (b) 8 (c) 11 (d) 9
29. 29.What is the mean of 18, 6, 11 and 17? (a) 12 (b) 14 (c) 13 (d) 15
30. 30.What is the mean of 18, 5, 5 and 16? (a) 13 (b) 11 (c) 10 (d) 12
31. 31.What is the median of 32, 26, 3, 18, 37, 10 and 31? (a) 18 (b) 27 (c) 26 (d) 31
32. 32.The mean of 7 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 28 (b) 24 (c) 26 (d) 25
33. 33.What is the median of 21, 10, 23, 34 and 8? (a) 21 (b) 22 (c) 23 (d) 10
34. 34.What is the median of 38, 8, 31, 11, 34, 18 and 21? (a) 23 (b) 31 (c) 11 (d) 21
35. 35.What is the median of 40, 18, 4, 8, 7, 31 and 37? (a) 8 (b) 19 (c) 31 (d) 18
36. 36.What is the mode of 19, 11, 18, 11, 11, 17 and 18? (a) 19 (b) 17 (c) 18 (d) 11
37. 37.What is the mode of 12, 7, 3, 12, 3, 14 and 3? (a) 7 (b) 14 (c) 12 (d) 3
38. 38.What is the median of 20, 37, 33, 30, 5, 29 and 9? (a) 30 (b) 28 (c) 20 (d) 29
39. 39.What is the mean of 17, 5, 17 and 17? (a) 15 (b) 14 (c) 16 (d) 13
40. 40.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 21

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