Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 800 · 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 5, 16, 9, 5 and 20? (a) 10 (b) 11 (c) 12 (d) 13
2. 2.What is the mean of 3, 20, 19, 3, 4 and 5? (a) 8 (b) 9 (c) 10 (d) 11
3. 3.What is the median of 10, 26, 40, 14 and 31? (a) 40 (b) 31 (c) 14 (d) 26
4. 4.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 26
5. 5.What is the median of 17, 28, 10, 21, 11, 22 and 25? (a) 17 (b) 22 (c) 20 (d) 21
6. 6.What is the median of 11, 4, 23, 31 and 12? (a) 11 (b) 13 (c) 12 (d) 23
7. 7.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 39 (b) 37 (c) 40 (d) 38
8. 8.What is the mode of 1, 10, 3, 3, 3, 1 and 17? (a) 17 (b) 3 (c) 1 (d) 10
9. 9.What is the median of 10, 17, 25, 21 and 16? (a) 16 (b) 25 (c) 21 (d) 17
10. 10.What is the mean of 3, 2, 13, 3, 5 and 4? (a) 5 (b) 4 (c) 6 (d) 7
11. 11.What is the median of 8, 13, 5, 9, 26, 11 and 19? (a) 13 (b) 9 (c) 12 (d) 11
12. 12.What is the median of 39, 17, 23, 24 and 7? (a) 24 (b) 17 (c) 23 (d) 22
13. 13.What is the median of 2, 18, 1, 33, 6, 36 and 35? (a) 19 (b) 33 (c) 18 (d) 6
14. 14.What is the median of 34, 9, 7, 23, 24, 27 and 1? (a) 23 (b) 9 (c) 24 (d) 22
15. 15.What is the mode of 19, 19, 1, 12, 1, 19 and 15? (a) 15 (b) 12 (c) 1 (d) 19
16. 16.What is the mode of 5, 8, 13, 13, 5, 6 and 13? (a) 5 (b) 6 (c) 13 (d) 8
17. 17.What is the median of 31, 12, 38, 35, 40, 18 and 27? (a) 35 (b) 31 (c) 32 (d) 27
18. 18.What is the mode of 9, 9, 18, 18, 9, 12 and 20? (a) 18 (b) 12 (c) 20 (d) 9
19. 19.What is the mode of 16, 14, 10, 10, 14, 14 and 19? (a) 14 (b) 16 (c) 10 (d) 19
20. 20.What is the mean of 16, 3, 5 and 12? (a) 12 (b) 10 (c) 9 (d) 8
21. 21.What is the median of 24, 23, 8, 19 and 15? (a) 8 (b) 23 (c) 19 (d) 15
22. 22.What is the median of 5, 25, 33, 40, 10, 37 and 22? (a) 25 (b) 22 (c) 33 (d) 40
23. 23.What is the median of 40, 15, 8, 34, 12, 7 and 21? (a) 12 (b) 34 (c) 21 (d) 15
24. 24.What is the median of 4, 38, 37, 27 and 7? (a) 28 (b) 27 (c) 7 (d) 37
25. 25.The mean of 9 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 28 (b) 26 (c) 27 (d) 23
26. 26.What is the median of 28, 19, 2, 13, 38, 27 and 14? (a) 27 (b) 14 (c) 13 (d) 19
27. 27.What is the mode of 17, 18, 5, 5, 5, 13 and 18? (a) 5 (b) 18 (c) 13 (d) 17
28. 28.What is the mode of 11, 11, 7, 17, 4, 4 and 4? (a) 7 (b) 11 (c) 4 (d) 17
29. 29.What is the median of 15, 29, 6, 3 and 7? (a) 6 (b) 7 (c) 12 (d) 15
30. 30.What is the mode of 16, 16, 2, 5, 18, 5 and 5? (a) 18 (b) 16 (c) 5 (d) 2
31. 31.The mean of 8 numbers is 29. When the number 38 is added to them, what is the new mean? (a) 29 (b) 32 (c) 30 (d) 31
32. 32.What is the mean of 9, 7, 16, 16 and 22? (a) 15 (b) 16 (c) 13 (d) 14
33. 33.What is the median of 26, 38, 5, 28 and 2? (a) 26 (b) 27 (c) 28 (d) 5
34. 34.What is the median of 28, 31, 29, 19 and 15? (a) 27 (b) 28 (c) 19 (d) 29
35. 35.What is the median of 26, 5, 32, 35, 9, 23 and 4? (a) 9 (b) 35 (c) 23 (d) 26
36. 36.What is the mode of 6, 20, 11, 2, 6, 2 and 6? (a) 11 (b) 2 (c) 20 (d) 6
37. 37.What is the mean of 4, 8, 14, 11, 3 and 8? (a) 10 (b) 8 (c) 9 (d) 7
38. 38.What is the median of 8, 10, 30, 19 and 21? (a) 21 (b) 30 (c) 10 (d) 19
39. 39.What is the mode of 13, 7, 13, 16, 16, 13 and 1? (a) 7 (b) 1 (c) 13 (d) 16
40. 40.What is the median of 33, 12, 3, 35, 26, 24 and 28? (a) 23 (b) 26 (c) 28 (d) 35

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