Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 303 · 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 mode of 16, 5, 16, 18, 3, 16 and 5? (a) 5 (b) 3 (c) 16 (d) 18
2. 2.What is the mode of 1, 18, 3, 1, 18, 15 and 1? (a) 1 (b) 18 (c) 15 (d) 3
3. 3.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 12 (b) 10 (c) 14 (d) 13
4. 4.The mean of 7 numbers is 40. When the number 64 is added to them, what is the new mean? (a) 52 (b) 40 (c) 43 (d) 44
5. 5.What is the mean of 20, 9, 14, 18, 8 and 9? (a) 14 (b) 13 (c) 12 (d) 15
6. 6.What is the median of 10, 13, 27, 31 and 5? (a) 27 (b) 14 (c) 13 (d) 10
7. 7.What is the median of 30, 21, 11, 25, 6, 23 and 9? (a) 25 (b) 23 (c) 21 (d) 11
8. 8.What is the mean of 2, 20, 3, 8, 9 and 18? (a) 11 (b) 9 (c) 10 (d) 12
9. 9.What is the mean of 2, 13, 11, 3 and 11? (a) 10 (b) 7 (c) 8 (d) 9
10. 10.What is the mode of 17, 5, 17, 9, 17, 9 and 6? (a) 9 (b) 17 (c) 6 (d) 5
11. 11.What is the median of 12, 25, 28, 5 and 26? (a) 28 (b) 25 (c) 26 (d) 12
12. 12.What is the mean of 19, 3, 6, 5, 6 and 15? (a) 10 (b) 8 (c) 11 (d) 9
13. 13.What is the mean of 8, 3, 10, 10, 7 and 22? (a) 11 (b) 10 (c) 9 (d) 12
14. 14.What is the median of 33, 32, 1, 6 and 4? (a) 4 (b) 6 (c) 32 (d) 1
15. 15.What is the mean of 20, 14, 3 and 7? (a) 11 (b) 13 (c) 12 (d) 10
16. 16.What is the median of 19, 30, 11, 18 and 24? (a) 18 (b) 19 (c) 11 (d) 24
17. 17.What is the median of 20, 29, 13, 9, 6, 23 and 12? (a) 9 (b) 13 (c) 16 (d) 20
18. 18.What is the mean of 14, 19, 17, 9 and 6? (a) 13 (b) 14 (c) 12 (d) 15
19. 19.What is the mean of 7, 9, 2, 6, 3 and 9? (a) 7 (b) 6 (c) 8 (d) 5
20. 20.What is the median of 5, 19, 31, 13 and 7? (a) 15 (b) 19 (c) 31 (d) 13
21. 21.What is the median of 26, 39, 30, 6, 8, 38 and 21? (a) 6 (b) 24 (c) 26 (d) 30
22. 22.What is the mode of 19, 15, 3, 1, 19, 19 and 1? (a) 19 (b) 1 (c) 15 (d) 3
23. 23.The mean of 7 numbers is 35. When the number 59 is added to them, what is the new mean? (a) 39 (b) 38 (c) 35 (d) 47
24. 24.What is the mean of 12, 20, 7 and 17? (a) 13 (b) 16 (c) 15 (d) 14
25. 25.What is the median of 16, 13, 34, 15, 10, 2 and 38? (a) 16 (b) 13 (c) 15 (d) 14
26. 26.What is the mean of 2, 7, 13, 20, 5 and 25? (a) 12 (b) 13 (c) 11 (d) 14
27. 27.The mean of 9 numbers is 37. When the number 57 is added to them, what is the new mean? (a) 47 (b) 40 (c) 39 (d) 37
28. 28.What is the median of 8, 33, 39, 24 and 28? (a) 39 (b) 24 (c) 33 (d) 28
29. 29.What is the mean of 14, 7, 20, 18, 3 and 16? (a) 15 (b) 12 (c) 14 (d) 13
30. 30.What is the mean of 8, 7, 10, 5, 9 and 21? (a) 10 (b) 11 (c) 9 (d) 12
31. 31.What is the mean of 20, 4, 6 and 10? (a) 8 (b) 11 (c) 10 (d) 9
32. 32.What is the mean of 15, 19, 19 and 11? (a) 17 (b) 15 (c) 18 (d) 16
33. 33.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 24 (b) 21 (c) 22 (d) 23
34. 34.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 25 (b) 27 (c) 24 (d) 21
35. 35.What is the median of 28, 16, 4, 21, 36, 30 and 31? (a) 28 (b) 29 (c) 30 (d) 21
36. 36.What is the median of 38, 13, 6, 9, 2, 3 and 29? (a) 9 (b) 6 (c) 13 (d) 10
37. 37.What is the median of 14, 25, 33, 40, 15, 30 and 9? (a) 30 (b) 40 (c) 15 (d) 25
38. 38.What is the mean of 3, 8, 20, 6 and 18? (a) 10 (b) 13 (c) 12 (d) 11
39. 39.What is the mode of 13, 2, 2, 3, 3, 1 and 2? (a) 1 (b) 2 (c) 13 (d) 3
40. 40.What is the mean of 3, 17, 12 and 20? (a) 13 (b) 14 (c) 12 (d) 15

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