Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 829 · 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.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 20 (c) 19 (d) 17
2. 2.What is the mean of 13, 5, 17, 8, 14 and 3? (a) 9 (b) 10 (c) 11 (d) 12
3. 3.The mean of 7 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 38 (b) 43 (c) 35 (d) 37
4. 4.What is the mean of 9, 4, 7, 10 and 10? (a) 9 (b) 10 (c) 7 (d) 8
5. 5.What is the mean of 13, 3, 17, 13 and 14? (a) 15 (b) 10 (c) 13 (d) 12
6. 6.What is the mean of 19, 8, 12, 9, 17 and 19? (a) 15 (b) 12 (c) 14 (d) 13
7. 7.What is the median of 27, 8, 19, 37 and 12? (a) 19 (b) 27 (c) 12 (d) 20
8. 8.What is the mode of 2, 2, 2, 20, 20, 17 and 8? (a) 8 (b) 2 (c) 20 (d) 17
9. 9.What is the mean of 20, 8, 6, 15, 13 and 10? (a) 13 (b) 14 (c) 11 (d) 12
10. 10.What is the mode of 2, 5, 8, 18, 5, 2 and 5? (a) 2 (b) 8 (c) 18 (d) 5
11. 11.What is the mean of 5, 4, 19, 20, 7 and 11? (a) 13 (b) 11 (c) 12 (d) 10
12. 12.What is the mode of 8, 20, 20, 8, 14, 19 and 20? (a) 8 (b) 19 (c) 14 (d) 20
13. 13.What is the mean of 8, 6, 12 and 14? (a) 9 (b) 10 (c) 8 (d) 11
14. 14.What is the mode of 6, 6, 6, 13, 5, 5 and 12? (a) 12 (b) 6 (c) 5 (d) 13
15. 15.What is the mean of 5, 10, 9, 19 and 17? (a) 13 (b) 15 (c) 10 (d) 12
16. 16.What is the mean of 3, 11, 13 and 21? (a) 13 (b) 11 (c) 12 (d) 16
17. 17.What is the median of 4, 24, 9, 3, 39, 18 and 27? (a) 9 (b) 3 (c) 18 (d) 24
18. 18.What is the mode of 1, 13, 9, 6, 9, 6 and 9? (a) 13 (b) 9 (c) 1 (d) 6
19. 19.What is the mean of 18, 4, 14 and 16? (a) 14 (b) 12 (c) 13 (d) 15
20. 20.What is the mean of 9, 9, 12 and 2? (a) 9 (b) 7 (c) 8 (d) 10
21. 21.What is the mode of 4, 7, 4, 7, 11, 4 and 13? (a) 13 (b) 7 (c) 4 (d) 11
22. 22.What is the mean of 3, 17, 7, 13 and 20? (a) 12 (b) 10 (c) 13 (d) 15
23. 23.What is the mean of 16, 3, 14 and 11? (a) 10 (b) 11 (c) 13 (d) 12
24. 24.What is the median of 15, 29, 17, 20, 28, 5 and 35? (a) 20 (b) 21 (c) 28 (d) 17
25. 25.What is the mean of 18, 2, 5, 11, 14 and 4? (a) 9 (b) 11 (c) 10 (d) 8
26. 26.What is the mean of 18, 15, 15, 12 and 15? (a) 17 (b) 15 (c) 14 (d) 16
27. 27.What is the median of 18, 36, 10, 2 and 24? (a) 10 (b) 24 (c) 19 (d) 18
28. 28.What is the mean of 2, 4, 20, 9, 5 and 20? (a) 9 (b) 10 (c) 11 (d) 12
29. 29.What is the mode of 14, 10, 10, 4, 5, 4 and 4? (a) 4 (b) 10 (c) 14 (d) 5
30. 30.The mean of 7 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 42 (b) 38 (c) 50 (d) 41
31. 31.What is the mean of 12, 2, 12, 12, 8 and 8? (a) 11 (b) 8 (c) 9 (d) 10
32. 32.What is the median of 23, 35, 37, 16 and 6? (a) 16 (b) 37 (c) 23 (d) 35
33. 33.What is the mean of 15, 18, 16, 5 and 16? (a) 15 (b) 14 (c) 13 (d) 16
34. 34.What is the mode of 9, 14, 14, 4, 9, 3 and 9? (a) 4 (b) 3 (c) 9 (d) 14
35. 35.What is the median of 7, 14, 23, 33, 4, 36 and 19? (a) 23 (b) 19 (c) 33 (d) 14
36. 36.What is the median of 12, 19, 25, 6, 23, 26 and 13? (a) 19 (b) 13 (c) 23 (d) 6
37. 37.What is the mean of 8, 2, 5 and 5? (a) 4 (b) 7 (c) 5 (d) 6
38. 38.What is the mean of 3, 6, 4 and 11? (a) 8 (b) 7 (c) 6 (d) 5
39. 39.What is the median of 29, 2, 17, 20, 31, 8 and 10? (a) 10 (b) 20 (c) 17 (d) 18
40. 40.What is the mode of 17, 7, 3, 8, 7, 7 and 17? (a) 17 (b) 8 (c) 3 (d) 7

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