Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 270 · 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 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 14 (b) 10 (c) 15 (d) 26
2. 2.What is the median of 26, 36, 32, 4 and 14? (a) 26 (b) 32 (c) 14 (d) 27
3. 3.The mean of 7 numbers is 11. When the number 27 is added to them, what is the new mean? (a) 14 (b) 13 (c) 19 (d) 11
4. 4.What is the median of 5, 15, 18, 1 and 11? (a) 15 (b) 11 (c) 18 (d) 10
5. 5.What is the median of 26, 40, 39, 37, 33, 2 and 10? (a) 37 (b) 26 (c) 34 (d) 33
6. 6.What is the mode of 4, 13, 13, 4, 2, 20 and 4? (a) 20 (b) 4 (c) 13 (d) 2
7. 7.What is the mode of 20, 9, 9, 13, 10, 13 and 13? (a) 9 (b) 13 (c) 10 (d) 20
8. 8.What is the mean of 8, 7, 10, 18, 18 and 5? (a) 11 (b) 10 (c) 12 (d) 13
9. 9.What is the mode of 13, 14, 4, 10, 13, 13 and 4? (a) 14 (b) 13 (c) 10 (d) 4
10. 10.What is the mean of 19, 20, 6 and 7? (a) 14 (b) 15 (c) 13 (d) 12
11. 11.What is the mean of 3, 14, 14, 6, 11 and 24? (a) 14 (b) 13 (c) 11 (d) 12
12. 12.What is the median of 37, 11, 9, 36 and 28? (a) 36 (b) 9 (c) 28 (d) 11
13. 13.What is the median of 25, 11, 24, 29 and 38? (a) 26 (b) 29 (c) 25 (d) 24
14. 14.The mean of 7 numbers is 18. When the number 2 is added to them, what is the new mean? (a) 18 (b) 17 (c) 10 (d) 16
15. 15.What is the mean of 8, 11, 5, 11, 4 and 15? (a) 8 (b) 11 (c) 9 (d) 10
16. 16.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 22 (b) 24 (c) 25 (d) 23
17. 17.What is the mean of 10, 5, 6, 15, 11 and 19? (a) 11 (b) 10 (c) 12 (d) 13
18. 18.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 14 (b) 23 (c) 21 (d) 20
19. 19.What is the median of 40, 18, 35, 22 and 37? (a) 37 (b) 36 (c) 35 (d) 22
20. 20.What is the mode of 9, 18, 18, 2, 4, 9 and 18? (a) 4 (b) 2 (c) 9 (d) 18
21. 21.What is the median of 1, 29, 18, 8, 10, 38 and 6? (a) 10 (b) 8 (c) 18 (d) 11
22. 22.What is the mean of 15, 20, 5, 6, 2 and 6? (a) 8 (b) 11 (c) 10 (d) 9
23. 23.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 16
24. 24.What is the mean of 20, 3, 2 and 19? (a) 10 (b) 11 (c) 12 (d) 13
25. 25.What is the mean of 8, 10, 16 and 10? (a) 13 (b) 10 (c) 11 (d) 12
26. 26.What is the median of 8, 39, 26, 30 and 25? (a) 25 (b) 30 (c) 27 (d) 26
27. 27.What is the mean of 9, 9, 12, 20 and 20? (a) 13 (b) 16 (c) 15 (d) 14
28. 28.What is the mean of 10, 5, 15, 12 and 8? (a) 12 (b) 10 (c) 9 (d) 11
29. 29.What is the mean of 10, 13, 2, 5, 14 and 10? (a) 10 (b) 9 (c) 11 (d) 8
30. 30.What is the mean of 5, 4, 15 and 12? (a) 8 (b) 12 (c) 10 (d) 9
31. 31.What is the mean of 9, 18, 6, 17, 20 and 20? (a) 18 (b) 16 (c) 14 (d) 15
32. 32.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 37 (b) 40 (c) 24 (d) 36
33. 33.What is the median of 34, 2, 22, 19 and 27? (a) 19 (b) 27 (c) 22 (d) 23
34. 34.What is the mean of 14, 19, 18 and 13? (a) 17 (b) 15 (c) 18 (d) 16
35. 35.What is the median of 1, 23, 2, 31, 13, 35 and 7? (a) 23 (b) 13 (c) 16 (d) 31
36. 36.What is the median of 1, 17, 10, 4, 31, 11 and 20? (a) 17 (b) 11 (c) 10 (d) 4
37. 37.What is the mode of 4, 5, 9, 17, 9, 4 and 4? (a) 5 (b) 17 (c) 9 (d) 4
38. 38.What is the mode of 19, 2, 20, 17, 2, 2 and 20? (a) 20 (b) 17 (c) 2 (d) 19
39. 39.The mean of 6 numbers is 34. When the number 27 is added to them, what is the new mean? (a) 32 (b) 35 (c) 33 (d) 34
40. 40.What is the mean of 17, 14, 10, 3, 19 and 21? (a) 12 (b) 15 (c) 13 (d) 14

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