Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 872 · 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 15, 12, 13 and 12? (a) 12 (b) 15 (c) 14 (d) 13
2. 2.What is the mode of 10, 8, 10, 8, 9, 16 and 10? (a) 10 (b) 9 (c) 16 (d) 8
3. 3.What is the mode of 6, 5, 19, 19, 16, 19 and 5? (a) 6 (b) 19 (c) 5 (d) 16
4. 4.What is the mean of 20, 20, 9, 7 and 19? (a) 17 (b) 16 (c) 14 (d) 15
5. 5.What is the mean of 9, 9, 4, 3, 15 and 20? (a) 12 (b) 10 (c) 11 (d) 9
6. 6.What is the median of 15, 5, 17, 31 and 16? (a) 18 (b) 16 (c) 15 (d) 17
7. 7.What is the median of 24, 4, 10, 28, 38, 36 and 15? (a) 25 (b) 15 (c) 24 (d) 28
8. 8.What is the median of 14, 29, 3, 37, 11, 17 and 12? (a) 37 (b) 14 (c) 12 (d) 17
9. 9.What is the mean of 7, 20, 15 and 10? (a) 12 (b) 13 (c) 15 (d) 14
10. 10.What is the mean of 7, 14, 12, 9, 17 and 13? (a) 13 (b) 12 (c) 11 (d) 14
11. 11.What is the median of 21, 25, 6, 33, 31, 23 and 40? (a) 33 (b) 23 (c) 25 (d) 31
12. 12.The mean of 9 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 10 (c) 11 (d) 12
13. 13.What is the mean of 10, 16, 9, 18, 11 and 2? (a) 10 (b) 12 (c) 13 (d) 11
14. 14.What is the median of 1, 4, 2, 17 and 6? (a) 5 (b) 2 (c) 6 (d) 4
15. 15.What is the mean of 3, 3, 5 and 21? (a) 7 (b) 10 (c) 9 (d) 8
16. 16.The mean of 6 numbers is 12. When the number 26 is added to them, what is the new mean? (a) 14 (b) 12 (c) 19 (d) 15
17. 17.What is the mode of 6, 6, 20, 9, 9, 9 and 10? (a) 9 (b) 10 (c) 6 (d) 20
18. 18.What is the median of 36, 18, 19, 9, 11, 21 and 10? (a) 11 (b) 19 (c) 18 (d) 9
19. 19.What is the mode of 1, 11, 11, 16, 16, 14 and 16? (a) 14 (b) 1 (c) 11 (d) 16
20. 20.What is the mean of 5, 19, 14 and 14? (a) 12 (b) 14 (c) 15 (d) 13
21. 21.What is the mean of 10, 5, 16 and 9? (a) 9 (b) 8 (c) 11 (d) 10
22. 22.What is the mean of 2, 20, 13, 19 and 6? (a) 10 (b) 15 (c) 13 (d) 12
23. 23.What is the mean of 16, 14, 9, 2, 9 and 4? (a) 8 (b) 9 (c) 11 (d) 10
24. 24.What is the mode of 4, 20, 6, 6, 4, 12 and 4? (a) 20 (b) 12 (c) 4 (d) 6
25. 25.What is the mode of 9, 13, 13, 1, 18, 13 and 18? (a) 13 (b) 18 (c) 9 (d) 1
26. 26.What is the median of 39, 35, 12, 25, 3, 40 and 26? (a) 35 (b) 26 (c) 25 (d) 27
27. 27.What is the median of 12, 5, 13, 7 and 15? (a) 12 (b) 13 (c) 11 (d) 7
28. 28.What is the mean of 6, 6, 4, 6, 5 and 15? (a) 6 (b) 8 (c) 7 (d) 9
29. 29.What is the mean of 2, 13, 20, 5 and 10? (a) 11 (b) 9 (c) 12 (d) 10
30. 30.What is the mean of 7, 13, 11 and 5? (a) 8 (b) 9 (c) 12 (d) 10
31. 31.The mean of 4 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 33 (b) 31 (c) 30 (d) 28
32. 32.What is the mode of 3, 13, 12, 12, 18, 13 and 13? (a) 12 (b) 18 (c) 13 (d) 3
33. 33.What is the median of 25, 20, 13, 34, 22, 12 and 21? (a) 34 (b) 21 (c) 20 (d) 22
34. 34.What is the mean of 2, 7, 15, 15 and 6? (a) 11 (b) 9 (c) 10 (d) 8
35. 35.What is the median of 30, 38, 13, 10, 7, 32 and 16? (a) 10 (b) 16 (c) 30 (d) 13
36. 36.What is the mode of 15, 15, 15, 2, 9, 2 and 14? (a) 14 (b) 9 (c) 15 (d) 2
37. 37.What is the mean of 16, 7, 14, 11, 16 and 14? (a) 15 (b) 12 (c) 13 (d) 14
38. 38.The mean of 4 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 32 (b) 34 (c) 37 (d) 35
39. 39.What is the median of 12, 9, 30, 6, 23, 39 and 34? (a) 30 (b) 12 (c) 23 (d) 6
40. 40.What is the mean of 3, 8, 16, 15 and 8? (a) 9 (b) 10 (c) 11 (d) 12

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