Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 71 · 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 9, 15, 4 and 20? (a) 13 (b) 16 (c) 12 (d) 11
2. 2.What is the mode of 10, 17, 2, 2, 17, 2 and 9? (a) 10 (b) 2 (c) 17 (d) 9
3. 3.What is the median of 34, 27, 2, 23, 1, 39 and 9? (a) 23 (b) 27 (c) 24 (d) 9
4. 4.What is the median of 36, 11, 22, 13, 35, 30 and 1? (a) 13 (b) 30 (c) 22 (d) 23
5. 5.The mean of 5 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 44 (b) 40 (c) 41 (d) 38
6. 6.What is the median of 15, 4, 5, 24, 19, 32 and 37? (a) 20 (b) 24 (c) 15 (d) 19
7. 7.What is the median of 31, 27, 29, 5 and 2? (a) 5 (b) 29 (c) 27 (d) 28
8. 8.What is the mean of 6, 13, 11, 7 and 3? (a) 7 (b) 9 (c) 8 (d) 10
9. 9.What is the mean of 13, 4, 20 and 15? (a) 12 (b) 13 (c) 15 (d) 14
10. 10.What is the mode of 12, 8, 15, 15, 8, 3 and 8? (a) 12 (b) 8 (c) 3 (d) 15
11. 11.What is the mean of 19, 4, 11, 6, 13 and 7? (a) 10 (b) 12 (c) 9 (d) 11
12. 12.What is the median of 5, 20, 9, 13, 15, 18 and 12? (a) 12 (b) 13 (c) 15 (d) 14
13. 13.What is the median of 19, 39, 38, 26, 33, 37 and 32? (a) 26 (b) 33 (c) 32 (d) 37
14. 14.What is the mode of 3, 17, 3, 4, 17, 9 and 3? (a) 4 (b) 3 (c) 17 (d) 9
15. 15.What is the mode of 18, 7, 2, 3, 3, 3 and 7? (a) 18 (b) 3 (c) 2 (d) 7
16. 16.What is the median of 6, 30, 40, 2 and 11? (a) 40 (b) 6 (c) 30 (d) 11
17. 17.What is the median of 33, 19, 3, 36 and 4? (a) 19 (b) 4 (c) 33 (d) 3
18. 18.What is the mode of 1, 2, 1, 3, 3, 10 and 1? (a) 3 (b) 10 (c) 1 (d) 2
19. 19.What is the median of 26, 40, 14, 36 and 32? (a) 32 (b) 36 (c) 14 (d) 26
20. 20.What is the median of 22, 4, 6, 15, 23, 29 and 7? (a) 22 (b) 16 (c) 15 (d) 7
21. 21.What is the median of 33, 6, 15, 21, 37, 4 and 8? (a) 8 (b) 15 (c) 21 (d) 16
22. 22.What is the median of 19, 22, 18, 37 and 35? (a) 35 (b) 18 (c) 19 (d) 22
23. 23.What is the mean of 13, 7, 13 and 11? (a) 10 (b) 11 (c) 12 (d) 13
24. 24.The mean of 7 numbers is 31. When the number 47 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 39
25. 25.What is the median of 29, 22, 15, 7 and 39? (a) 15 (b) 22 (c) 23 (d) 29
26. 26.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 11
27. 27.The mean of 7 numbers is 23. When the number 7 is added to them, what is the new mean? (a) 21 (b) 22 (c) 15 (d) 23
28. 28.What is the mean of 16, 7, 19, 9, 6 and 21? (a) 13 (b) 12 (c) 14 (d) 15
29. 29.What is the mode of 16, 1, 16, 17, 16, 19 and 19? (a) 16 (b) 17 (c) 1 (d) 19
30. 30.What is the mean of 12, 18, 2 and 16? (a) 16 (b) 13 (c) 12 (d) 11
31. 31.What is the mode of 4, 6, 7, 6, 9, 7 and 6? (a) 7 (b) 9 (c) 4 (d) 6
32. 32.What is the mean of 16, 17, 3, 8, 18 and 4? (a) 13 (b) 10 (c) 11 (d) 12
33. 33.What is the mode of 15, 6, 10, 6, 17, 10 and 10? (a) 6 (b) 17 (c) 10 (d) 15
34. 34.What is the mean of 5, 7, 3, 20, 12 and 19? (a) 11 (b) 12 (c) 13 (d) 10
35. 35.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 23 (b) 17 (c) 13 (d) 18
36. 36.What is the mean of 6, 19, 4, 19 and 7? (a) 11 (b) 12 (c) 13 (d) 10
37. 37.What is the mean of 15, 3, 14 and 4? (a) 10 (b) 8 (c) 12 (d) 9
38. 38.What is the mode of 11, 11, 3, 11, 6, 7 and 6? (a) 11 (b) 6 (c) 7 (d) 3
39. 39.What is the mean of 20, 17, 15, 18 and 5? (a) 14 (b) 15 (c) 17 (d) 16
40. 40.What is the mean of 13, 16, 20, 15 and 11? (a) 17 (b) 16 (c) 14 (d) 15

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