Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 567 · 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, 11, 18, 18, 14, 16 and 18? (a) 14 (b) 11 (c) 16 (d) 18
2. 2.What is the mode of 4, 14, 4, 11, 14, 4 and 19? (a) 14 (b) 19 (c) 11 (d) 4
3. 3.What is the median of 28, 11, 29, 40, 39, 30 and 17? (a) 40 (b) 29 (c) 28 (d) 30
4. 4.The mean of 6 numbers is 33. When the number 12 is added to them, what is the new mean? (a) 30 (b) 31 (c) 29 (d) 33
5. 5.What is the median of 13, 28, 3, 40 and 8? (a) 28 (b) 8 (c) 13 (d) 3
6. 6.What is the median of 8, 20, 9, 19 and 18? (a) 9 (b) 18 (c) 17 (d) 19
7. 7.What is the median of 30, 12, 10, 37 and 25? (a) 10 (b) 12 (c) 30 (d) 25
8. 8.What is the median of 29, 5, 8, 1 and 7? (a) 7 (b) 8 (c) 10 (d) 5
9. 9.What is the median of 27, 3, 10, 39 and 7? (a) 27 (b) 11 (c) 7 (d) 10
10. 10.What is the median of 18, 34, 16, 6 and 24? (a) 19 (b) 24 (c) 16 (d) 18
11. 11.The mean of 6 numbers is 37. When the number 30 is added to them, what is the new mean? (a) 35 (b) 36 (c) 38 (d) 37
12. 12.What is the median of 5, 40, 10, 12 and 19? (a) 13 (b) 19 (c) 12 (d) 10
13. 13.What is the median of 20, 23, 10, 1 and 30? (a) 10 (b) 20 (c) 23 (d) 21
14. 14.What is the mean of 4, 18, 13, 2 and 18? (a) 12 (b) 11 (c) 10 (d) 13
15. 15.What is the mean of 5, 20, 18, 4, 19 and 12? (a) 14 (b) 12 (c) 13 (d) 15
16. 16.What is the mode of 14, 15, 19, 14, 10, 15 and 15? (a) 15 (b) 19 (c) 14 (d) 10
17. 17.What is the mean of 17, 11, 17, 17 and 13? (a) 14 (b) 17 (c) 15 (d) 16
18. 18.What is the mean of 7, 5, 17 and 19? (a) 16 (b) 13 (c) 11 (d) 12
19. 19.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 8 (b) 11 (c) 12 (d) 14
20. 20.What is the mode of 15, 2, 15, 3, 2, 6 and 2? (a) 15 (b) 6 (c) 2 (d) 3
21. 21.What is the mean of 8, 11, 7 and 14? (a) 9 (b) 10 (c) 8 (d) 11
22. 22.What is the median of 3, 11, 40, 15, 35, 14 and 18? (a) 18 (b) 14 (c) 16 (d) 15
23. 23.What is the median of 33, 14, 36, 20, 25, 22 and 4? (a) 23 (b) 22 (c) 25 (d) 20
24. 24.The mean of 4 numbers is 38. When the number 53 is added to them, what is the new mean? (a) 40 (b) 41 (c) 38 (d) 42
25. 25.What is the mode of 10, 16, 16, 14, 11, 10 and 16? (a) 11 (b) 10 (c) 14 (d) 16
26. 26.What is the mean of 19, 15, 14, 7 and 20? (a) 17 (b) 14 (c) 16 (d) 15
27. 27.The mean of 3 numbers is 15. When the number 19 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 18
28. 28.The mean of 6 numbers is 24. When the number 45 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 24
29. 29.What is the median of 33, 5, 19, 29 and 6? (a) 29 (b) 6 (c) 19 (d) 20
30. 30.What is the median of 21, 16, 27, 40 and 22? (a) 21 (b) 22 (c) 27 (d) 23
31. 31.What is the mean of 17, 2, 15, 4, 19 and 3? (a) 11 (b) 12 (c) 9 (d) 10
32. 32.What is the median of 14, 3, 6, 4 and 5? (a) 4 (b) 7 (c) 6 (d) 5
33. 33.What is the mean of 6, 7, 15 and 4? (a) 10 (b) 9 (c) 8 (d) 7
34. 34.What is the median of 1, 28, 16, 13 and 10? (a) 16 (b) 13 (c) 14 (d) 10
35. 35.What is the mode of 6, 11, 2, 11, 4, 2 and 11? (a) 11 (b) 2 (c) 6 (d) 4
36. 36.What is the mode of 10, 11, 9, 10, 7, 11 and 11? (a) 7 (b) 11 (c) 9 (d) 10
37. 37.What is the mode of 11, 17, 17, 6, 17, 15 and 15? (a) 15 (b) 17 (c) 6 (d) 11
38. 38.What is the median of 21, 23, 14, 26, 6, 33 and 30? (a) 21 (b) 24 (c) 23 (d) 26
39. 39.The mean of 9 numbers is 31. When the number 21 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 26
40. 40.The mean of 8 numbers is 29. When the number 65 is added to them, what is the new mean? (a) 34 (b) 33 (c) 47 (d) 29

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