Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 895 · 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 28, 36, 30, 19 and 29? (a) 30 (b) 28 (c) 31 (d) 29
2. 2.What is the mean of 9, 18, 17 and 20? (a) 17 (b) 15 (c) 16 (d) 18
3. 3.What is the mode of 18, 1, 1, 1, 18, 7 and 4? (a) 7 (b) 18 (c) 4 (d) 1
4. 4.What is the median of 19, 16, 3, 6 and 8? (a) 8 (b) 16 (c) 6 (d) 3
5. 5.What is the median of 8, 28, 19, 18 and 13? (a) 19 (b) 17 (c) 18 (d) 13
6. 6.What is the mode of 16, 20, 20, 8, 11, 16 and 16? (a) 8 (b) 20 (c) 11 (d) 16
7. 7.The mean of 6 numbers is 23. When the number 16 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 24
8. 8.What is the median of 14, 25, 34, 30, 19, 29 and 40? (a) 28 (b) 29 (c) 30 (d) 25
9. 9.The mean of 7 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 20 (b) 19 (c) 22 (d) 18
10. 10.What is the median of 27, 1, 18, 32, 29, 20 and 24? (a) 32 (b) 24 (c) 27 (d) 20
11. 11.What is the mean of 6, 12, 16 and 6? (a) 8 (b) 10 (c) 11 (d) 9
12. 12.What is the mean of 16, 20, 8 and 8? (a) 15 (b) 13 (c) 12 (d) 14
13. 13.What is the median of 31, 23, 6, 34, 14, 39 and 1? (a) 23 (b) 34 (c) 14 (d) 31
14. 14.What is the mode of 2, 15, 4, 4, 6, 15 and 15? (a) 2 (b) 4 (c) 6 (d) 15
15. 15.What is the mode of 13, 10, 10, 13, 18, 10 and 7? (a) 13 (b) 10 (c) 18 (d) 7
16. 16.What is the median of 36, 10, 6, 24, 3, 18 and 11? (a) 11 (b) 18 (c) 10 (d) 24
17. 17.What is the mean of 13, 4, 4, 19 and 20? (a) 12 (b) 13 (c) 15 (d) 10
18. 18.What is the median of 38, 27, 25, 31 and 16? (a) 25 (b) 28 (c) 31 (d) 27
19. 19.What is the mean of 4, 19, 20, 20, 16 and 5? (a) 13 (b) 12 (c) 14 (d) 15
20. 20.What is the median of 25, 15, 39, 31 and 28? (a) 39 (b) 28 (c) 31 (d) 25
21. 21.What is the mean of 7, 2, 4, 2 and 15? (a) 8 (b) 6 (c) 5 (d) 7
22. 22.What is the mean of 5, 20, 7, 6 and 22? (a) 10 (b) 12 (c) 15 (d) 13
23. 23.What is the median of 14, 1, 5, 13, 39, 40 and 22? (a) 22 (b) 13 (c) 15 (d) 14
24. 24.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 19 (b) 21 (c) 17 (d) 20
25. 25.The mean of 4 numbers is 29. When the number 14 is added to them, what is the new mean? (a) 25 (b) 26 (c) 27 (d) 29
26. 26.What is the median of 30, 10, 8, 24 and 22? (a) 8 (b) 10 (c) 24 (d) 22
27. 27.What is the mode of 12, 9, 7, 7, 7, 10 and 12? (a) 9 (b) 10 (c) 12 (d) 7
28. 28.The mean of 5 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 10
29. 29.What is the median of 12, 30, 27, 6 and 37? (a) 30 (b) 12 (c) 28 (d) 27
30. 30.What is the mean of 3, 4, 15 and 14? (a) 12 (b) 10 (c) 8 (d) 9
31. 31.What is the median of 4, 22, 16, 24, 2, 29 and 35? (a) 16 (b) 22 (c) 24 (d) 23
32. 32.What is the mean of 6, 8, 3, 15, 6 and 22? (a) 9 (b) 11 (c) 10 (d) 12
33. 33.The mean of 4 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 26 (b) 25 (c) 29 (d) 19
34. 34.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 21 (b) 22 (c) 28 (d) 19
35. 35.What is the mean of 11, 6, 5 and 6? (a) 6 (b) 8 (c) 7 (d) 9
36. 36.What is the median of 15, 7, 24, 27, 1, 9 and 28? (a) 24 (b) 9 (c) 15 (d) 27
37. 37.What is the mean of 11, 13, 15, 4, 8 and 21? (a) 13 (b) 11 (c) 14 (d) 12
38. 38.What is the median of 35, 23, 30, 4 and 11? (a) 11 (b) 24 (c) 30 (d) 23
39. 39.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 11 (b) 14 (c) 8 (d) 12
40. 40.What is the mode of 15, 1, 9, 1, 6, 1 and 15? (a) 15 (b) 9 (c) 6 (d) 1

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