Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 790 · 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 median of 18, 36, 2, 24 and 28? (a) 28 (b) 24 (c) 2 (d) 18
2. 2.What is the median of 17, 25, 2, 31, 1, 11 and 24? (a) 24 (b) 17 (c) 11 (d) 31
3. 3.What is the median of 31, 39, 13, 10, 5, 35 and 16? (a) 16 (b) 13 (c) 10 (d) 31
4. 4.The mean of 6 numbers is 26. When the number 12 is added to them, what is the new mean? (a) 24 (b) 19 (c) 26 (d) 25
5. 5.What is the mean of 9, 4, 7 and 12? (a) 10 (b) 7 (c) 9 (d) 8
6. 6.What is the mean of 19, 7, 4 and 10? (a) 9 (b) 11 (c) 10 (d) 8
7. 7.What is the mode of 18, 10, 10, 11, 11, 2 and 10? (a) 10 (b) 11 (c) 2 (d) 18
8. 8.What is the mean of 10, 16, 3, 8 and 3? (a) 10 (b) 8 (c) 9 (d) 7
9. 9.What is the median of 12, 39, 1, 36, 20, 2 and 18? (a) 12 (b) 36 (c) 20 (d) 18
10. 10.What is the median of 38, 24, 17, 7 and 9? (a) 17 (b) 9 (c) 24 (d) 19
11. 11.What is the median of 32, 2, 15, 33, 18, 7 and 12? (a) 17 (b) 15 (c) 18 (d) 33
12. 12.What is the mean of 12, 15, 3 and 6? (a) 10 (b) 12 (c) 8 (d) 9
13. 13.What is the mean of 6, 8, 17, 11 and 8? (a) 12 (b) 11 (c) 9 (d) 10
14. 14.What is the median of 11, 28, 27, 32, 4, 31 and 5? (a) 27 (b) 11 (c) 32 (d) 28
15. 15.The mean of 4 numbers is 30. When the number 25 is added to them, what is the new mean? (a) 31 (b) 28 (c) 29 (d) 30
16. 16.What is the mean of 14, 9, 11, 5, 13 and 20? (a) 13 (b) 11 (c) 12 (d) 14
17. 17.What is the mean of 8, 15, 5, 5, 14 and 19? (a) 10 (b) 12 (c) 11 (d) 13
18. 18.What is the mean of 7, 8, 13, 10, 2 and 8? (a) 9 (b) 8 (c) 10 (d) 7
19. 19.What is the mode of 10, 19, 15, 10, 14, 14 and 14? (a) 10 (b) 19 (c) 15 (d) 14
20. 20.What is the mean of 10, 6, 14, 20, 20 and 8? (a) 13 (b) 14 (c) 12 (d) 15
21. 21.What is the median of 6, 12, 40, 15, 33, 32 and 36? (a) 15 (b) 31 (c) 33 (d) 32
22. 22.What is the mean of 2, 9, 12 and 5? (a) 8 (b) 6 (c) 9 (d) 7
23. 23.What is the mode of 2, 5, 16, 6, 16, 6 and 6? (a) 5 (b) 6 (c) 16 (d) 2
24. 24.What is the median of 28, 18, 19, 6 and 7? (a) 19 (b) 7 (c) 17 (d) 18
25. 25.What is the median of 28, 2, 17, 29 and 19? (a) 20 (b) 19 (c) 17 (d) 28
26. 26.What is the mean of 7, 4, 4, 4 and 21? (a) 7 (b) 10 (c) 8 (d) 9
27. 27.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 38 (b) 24 (c) 29 (d) 28
28. 28.What is the mean of 19, 2, 11, 20 and 8? (a) 12 (b) 10 (c) 13 (d) 15
29. 29.What is the median of 24, 31, 28, 21, 30, 38 and 36? (a) 28 (b) 21 (c) 31 (d) 30
30. 30.What is the mean of 8, 11, 5 and 20? (a) 11 (b) 10 (c) 12 (d) 13
31. 31.What is the median of 19, 9, 18, 4 and 29? (a) 19 (b) 17 (c) 9 (d) 18
32. 32.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 30
33. 33.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 23
34. 34.What is the mode of 14, 13, 3, 1, 3, 1 and 1? (a) 14 (b) 1 (c) 3 (d) 13
35. 35.What is the mean of 2, 14, 3, 16 and 5? (a) 9 (b) 7 (c) 8 (d) 10
36. 36.What is the mode of 7, 14, 17, 14, 8, 8 and 8? (a) 7 (b) 8 (c) 14 (d) 17
37. 37.What is the median of 3, 35, 8, 29 and 24? (a) 29 (b) 24 (c) 8 (d) 25
38. 38.The mean of 5 numbers is 36. When the number 12 is added to them, what is the new mean? (a) 36 (b) 33 (c) 24 (d) 32
39. 39.What is the mean of 5, 17, 19, 11 and 8? (a) 12 (b) 10 (c) 15 (d) 13
40. 40.What is the mode of 10, 18, 17, 16, 18, 16 and 18? (a) 17 (b) 18 (c) 16 (d) 10

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