Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 143 · 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 mode of 15, 19, 11, 11, 9, 11 and 15? (a) 19 (b) 11 (c) 15 (d) 9
2. 2.What is the median of 19, 4, 15, 35, 12, 9 and 32? (a) 35 (b) 15 (c) 18 (d) 19
3. 3.What is the mean of 16, 17, 8 and 7? (a) 16 (b) 13 (c) 12 (d) 11
4. 4.The mean of 3 numbers is 10. When the number 6 is added to them, what is the new mean? (a) 8 (b) 11 (c) 9 (d) 10
5. 5.What is the median of 13, 38, 12, 19 and 9? (a) 12 (b) 13 (c) 19 (d) 14
6. 6.What is the median of 28, 5, 17, 14, 24, 26 and 33? (a) 21 (b) 24 (c) 26 (d) 14
7. 7.What is the mean of 17, 15, 11 and 13? (a) 16 (b) 15 (c) 14 (d) 13
8. 8.What is the mean of 10, 14, 13, 10 and 8? (a) 13 (b) 10 (c) 11 (d) 12
9. 9.What is the median of 26, 3, 23, 19 and 15? (a) 15 (b) 23 (c) 20 (d) 19
10. 10.What is the mean of 15, 12, 10, 5 and 18? (a) 10 (b) 12 (c) 13 (d) 15
11. 11.What is the median of 26, 25, 38, 32, 13, 1 and 7? (a) 32 (b) 26 (c) 13 (d) 25
12. 12.What is the mean of 12, 13, 11, 16, 17 and 3? (a) 13 (b) 12 (c) 14 (d) 11
13. 13.What is the mean of 14, 20, 5, 10 and 16? (a) 15 (b) 14 (c) 13 (d) 12
14. 14.What is the mean of 13, 13, 2, 15, 6 and 11? (a) 10 (b) 9 (c) 12 (d) 11
15. 15.What is the median of 27, 11, 5, 4 and 30? (a) 27 (b) 12 (c) 5 (d) 11
16. 16.What is the mean of 9, 11, 8, 14 and 18? (a) 15 (b) 13 (c) 12 (d) 10
17. 17.What is the mean of 20, 10, 6, 15, 7 and 8? (a) 11 (b) 12 (c) 13 (d) 10
18. 18.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 29 (b) 25 (c) 27 (d) 26
19. 19.What is the mode of 19, 4, 20, 11, 4, 4 and 11? (a) 19 (b) 11 (c) 4 (d) 20
20. 20.What is the median of 17, 31, 3, 5, 7, 27 and 35? (a) 7 (b) 27 (c) 17 (d) 5
21. 21.What is the mean of 13, 4, 19, 12, 17 and 19? (a) 14 (b) 15 (c) 12 (d) 13
22. 22.What is the mean of 12, 2, 18, 20, 10 and 10? (a) 12 (b) 14 (c) 13 (d) 11
23. 23.What is the mean of 8, 9, 19, 12, 11 and 13? (a) 11 (b) 12 (c) 14 (d) 13
24. 24.What is the median of 1, 22, 14, 31, 37, 19 and 7? (a) 22 (b) 19 (c) 31 (d) 14
25. 25.What is the median of 30, 10, 24, 6 and 37? (a) 10 (b) 24 (c) 30 (d) 25
26. 26.What is the mode of 11, 1, 4, 3, 4, 1 and 4? (a) 3 (b) 1 (c) 11 (d) 4
27. 27.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 26 (b) 27 (c) 38 (d) 23
28. 28.What is the median of 14, 12, 35, 18 and 17? (a) 17 (b) 18 (c) 14 (d) 35
29. 29.The mean of 7 numbers is 29. When the number 5 is added to them, what is the new mean? (a) 17 (b) 26 (c) 27 (d) 29
30. 30.What is the mode of 1, 20, 20, 1, 10, 1 and 16? (a) 1 (b) 20 (c) 16 (d) 10
31. 31.What is the median of 8, 13, 12, 32 and 2? (a) 13 (b) 8 (c) 12 (d) 11
32. 32.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 16
33. 33.What is the median of 35, 10, 5, 38 and 22? (a) 5 (b) 35 (c) 22 (d) 10
34. 34.What is the mean of 11, 5, 11 and 21? (a) 13 (b) 16 (c) 11 (d) 12
35. 35.What is the median of 29, 40, 39, 20 and 1? (a) 20 (b) 29 (c) 30 (d) 39
36. 36.The mean of 8 numbers is 19. When the number 10 is added to them, what is the new mean? (a) 19 (b) 20 (c) 17 (d) 18
37. 37.What is the mode of 15, 3, 10, 2, 3, 3 and 2? (a) 10 (b) 3 (c) 15 (d) 2
38. 38.What is the mode of 6, 16, 12, 12, 12, 13 and 6? (a) 12 (b) 13 (c) 16 (d) 6
39. 39.What is the mode of 4, 8, 18, 4, 18, 2 and 4? (a) 4 (b) 18 (c) 2 (d) 8
40. 40.What is the mean of 19, 15, 2, 4 and 20? (a) 15 (b) 10 (c) 13 (d) 12

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