Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 509 · 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 19, 16, 19, 13 and 18? (a) 17 (b) 16 (c) 18 (d) 19
2. 2.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 28 (b) 27 (c) 24 (d) 26
3. 3.What is the mean of 7, 17, 2, 11, 4 and 7? (a) 9 (b) 7 (c) 8 (d) 10
4. 4.What is the median of 30, 35, 22, 17, 28, 3 and 8? (a) 17 (b) 22 (c) 23 (d) 28
5. 5.What is the mode of 6, 17, 14, 2, 2, 2 and 14? (a) 14 (b) 2 (c) 6 (d) 17
6. 6.What is the mean of 8, 16, 15 and 17? (a) 14 (b) 16 (c) 15 (d) 13
7. 7.The mean of 3 numbers is 24. When the number 16 is added to them, what is the new mean? (a) 23 (b) 24 (c) 20 (d) 22
8. 8.What is the mean of 4, 7, 18, 20 and 6? (a) 11 (b) 13 (c) 10 (d) 12
9. 9.What is the median of 28, 2, 30, 34, 26, 37 and 32? (a) 32 (b) 34 (c) 27 (d) 30
10. 10.What is the mode of 1, 14, 14, 14, 10, 20 and 1? (a) 10 (b) 1 (c) 14 (d) 20
11. 11.What is the mean of 6, 15, 10, 9, 9 and 11? (a) 10 (b) 9 (c) 12 (d) 11
12. 12.What is the median of 29, 39, 9, 28 and 10? (a) 28 (b) 9 (c) 23 (d) 29
13. 13.What is the mode of 3, 13, 16, 15, 16, 16 and 15? (a) 15 (b) 13 (c) 3 (d) 16
14. 14.What is the median of 7, 1, 11, 15 and 8? (a) 9 (b) 8 (c) 7 (d) 11
15. 15.What is the mode of 14, 14, 3, 15, 2, 15 and 15? (a) 2 (b) 3 (c) 15 (d) 14
16. 16.What is the mean of 10, 9, 11 and 14? (a) 13 (b) 10 (c) 12 (d) 11
17. 17.What is the median of 36, 17, 28, 19 and 3? (a) 17 (b) 20 (c) 28 (d) 19
18. 18.What is the mean of 20, 7, 16 and 5? (a) 12 (b) 13 (c) 16 (d) 11
19. 19.What is the mean of 7, 10, 6, 12, 13 and 24? (a) 12 (b) 11 (c) 14 (d) 13
20. 20.The mean of 7 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 32 (c) 30 (d) 29
21. 21.What is the mean of 11, 18, 14 and 13? (a) 15 (b) 13 (c) 14 (d) 16
22. 22.The mean of 8 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 21 (b) 19 (c) 22 (d) 28
23. 23.What is the mode of 16, 1, 1, 14, 14, 4 and 1? (a) 14 (b) 1 (c) 4 (d) 16
24. 24.What is the mode of 16, 15, 1, 16, 16, 13 and 15? (a) 16 (b) 15 (c) 1 (d) 13
25. 25.What is the mean of 17, 19, 3 and 21? (a) 16 (b) 15 (c) 12 (d) 20
26. 26.What is the mean of 20, 8, 16 and 4? (a) 12 (b) 16 (c) 11 (d) 13
27. 27.What is the mean of 7, 5, 19 and 21? (a) 15 (b) 12 (c) 13 (d) 14
28. 28.What is the mode of 7, 13, 13, 7, 14, 7 and 2? (a) 14 (b) 7 (c) 13 (d) 2
29. 29.What is the median of 16, 17, 32, 12 and 6? (a) 12 (b) 17 (c) 32 (d) 16
30. 30.What is the median of 35, 32, 11, 31 and 17? (a) 11 (b) 31 (c) 32 (d) 17
31. 31.What is the mode of 18, 17, 5, 7, 17, 7 and 7? (a) 17 (b) 7 (c) 5 (d) 18
32. 32.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 30 (b) 27 (c) 28 (d) 29
33. 33.What is the mean of 17, 18, 5, 14, 16 and 8? (a) 15 (b) 14 (c) 13 (d) 12
34. 34.What is the mean of 10, 17, 7 and 18? (a) 14 (b) 13 (c) 15 (d) 12
35. 35.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 37 (b) 34 (c) 39 (d) 38
36. 36.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 26 (b) 28 (c) 25 (d) 24
37. 37.What is the median of 31, 37, 16, 27, 3, 15 and 8? (a) 17 (b) 27 (c) 15 (d) 16
38. 38.What is the mode of 8, 11, 7, 11, 6, 11 and 8? (a) 6 (b) 11 (c) 7 (d) 8
39. 39.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 19 (b) 14 (c) 16 (d) 15
40. 40.What is the median of 40, 13, 28, 6, 4, 11 and 29? (a) 13 (b) 6 (c) 28 (d) 11

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