Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 681 · 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 8, 11, 10 and 11? (a) 10 (b) 8 (c) 11 (d) 9
2. 2.What is the mode of 14, 15, 13, 11, 15, 13 and 15? (a) 11 (b) 13 (c) 14 (d) 15
3. 3.What is the median of 30, 24, 36, 20 and 21? (a) 30 (b) 24 (c) 21 (d) 36
4. 4.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 9 (b) 10 (c) 11 (d) 8
5. 5.What is the mean of 16, 4, 5 and 11? (a) 8 (b) 12 (c) 10 (d) 9
6. 6.What is the mode of 8, 14, 13, 13, 13, 14 and 6? (a) 14 (b) 8 (c) 13 (d) 6
7. 7.What is the median of 13, 34, 39, 19 and 15? (a) 39 (b) 19 (c) 34 (d) 24
8. 8.What is the mode of 4, 9, 4, 4, 7, 1 and 9? (a) 7 (b) 4 (c) 9 (d) 1
9. 9.What is the mode of 3, 3, 19, 4, 19, 19 and 2? (a) 3 (b) 4 (c) 19 (d) 2
10. 10.What is the median of 31, 11, 32, 12 and 21? (a) 12 (b) 32 (c) 31 (d) 21
11. 11.What is the mean of 17, 17, 17 and 13? (a) 17 (b) 16 (c) 15 (d) 18
12. 12.What is the mode of 15, 11, 2, 11, 15, 17 and 15? (a) 11 (b) 15 (c) 17 (d) 2
13. 13.The mean of 8 numbers is 37. When the number 73 is added to them, what is the new mean? (a) 42 (b) 55 (c) 37 (d) 41
14. 14.What is the median of 12, 36, 13, 24, 31, 39 and 7? (a) 31 (b) 13 (c) 24 (d) 25
15. 15.What is the mean of 14, 19, 19, 3 and 5? (a) 15 (b) 13 (c) 12 (d) 10
16. 16.What is the median of 26, 24, 19, 38 and 30? (a) 24 (b) 30 (c) 26 (d) 19
17. 17.The mean of 7 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 17 (b) 18 (c) 16 (d) 20
18. 18.What is the mean of 20, 8, 20, 18, 6 and 12? (a) 15 (b) 12 (c) 13 (d) 14
19. 19.What is the mean of 18, 4, 11 and 23? (a) 13 (b) 15 (c) 16 (d) 14
20. 20.What is the median of 9, 20, 27, 34, 25, 21 and 31? (a) 25 (b) 21 (c) 27 (d) 34
21. 21.The mean of 6 numbers is 31. When the number 38 is added to them, what is the new mean? (a) 32 (b) 31 (c) 34 (d) 33
22. 22.The mean of 6 numbers is 30. When the number 16 is added to them, what is the new mean? (a) 23 (b) 28 (c) 29 (d) 30
23. 23.What is the median of 35, 23, 15, 37, 40, 11 and 24? (a) 37 (b) 23 (c) 35 (d) 24
24. 24.What is the mean of 17, 13, 6 and 4? (a) 8 (b) 10 (c) 11 (d) 9
25. 25.What is the mean of 4, 8, 16, 13 and 19? (a) 15 (b) 12 (c) 10 (d) 13
26. 26.What is the mean of 10, 17, 9, 6 and 13? (a) 12 (b) 11 (c) 10 (d) 13
27. 27.What is the mode of 12, 17, 17, 5, 5, 18 and 5? (a) 12 (b) 18 (c) 17 (d) 5
28. 28.What is the median of 26, 38, 40, 10 and 11? (a) 40 (b) 26 (c) 38 (d) 25
29. 29.What is the mode of 8, 13, 18, 13, 8, 15 and 13? (a) 13 (b) 15 (c) 8 (d) 18
30. 30.The mean of 5 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 10 (b) 16 (c) 15 (d) 14
31. 31.What is the mode of 18, 15, 1, 15, 4, 4 and 15? (a) 4 (b) 1 (c) 18 (d) 15
32. 32.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 43 (b) 44 (c) 52 (d) 40
33. 33.What is the mode of 9, 6, 6, 18, 6, 8 and 8? (a) 9 (b) 6 (c) 8 (d) 18
34. 34.What is the median of 33, 11, 25, 12 and 34? (a) 23 (b) 33 (c) 12 (d) 25
35. 35.What is the median of 2, 40, 34, 17, 35, 26 and 12? (a) 34 (b) 26 (c) 27 (d) 17
36. 36.What is the mode of 4, 5, 4, 15, 4, 5 and 9? (a) 5 (b) 15 (c) 4 (d) 9
37. 37.What is the mean of 14, 16, 5, 19 and 16? (a) 15 (b) 13 (c) 14 (d) 16
38. 38.What is the mean of 17, 2, 10 and 11? (a) 8 (b) 9 (c) 11 (d) 10
39. 39.What is the median of 8, 26, 10, 5 and 28? (a) 8 (b) 10 (c) 26 (d) 11
40. 40.What is the mean of 11, 11, 3 and 3? (a) 6 (b) 7 (c) 9 (d) 8

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