Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 444 · 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 10, 7, 5, 10, 7, 9 and 10? (a) 7 (b) 10 (c) 5 (d) 9
2. 2.What is the mean of 10, 11, 19, 18 and 12? (a) 13 (b) 16 (c) 15 (d) 14
3. 3.What is the mode of 19, 11, 11, 5, 19, 19 and 7? (a) 11 (b) 7 (c) 19 (d) 5
4. 4.What is the mean of 20, 2, 7, 6, 7 and 18? (a) 9 (b) 11 (c) 10 (d) 12
5. 5.What is the mean of 4, 2, 20, 13 and 16? (a) 13 (b) 12 (c) 11 (d) 10
6. 6.What is the mode of 10, 19, 19, 10, 17, 2 and 10? (a) 10 (b) 17 (c) 19 (d) 2
7. 7.What is the mean of 2, 2, 4 and 4? (a) 2 (b) 4 (c) 5 (d) 3
8. 8.What is the mean of 5, 5, 5, 19 and 6? (a) 9 (b) 10 (c) 8 (d) 7
9. 9.What is the mean of 18, 6, 19, 7 and 20? (a) 15 (b) 13 (c) 16 (d) 14
10. 10.What is the median of 11, 32, 40, 23, 5, 10 and 3? (a) 11 (b) 23 (c) 12 (d) 10
11. 11.What is the mean of 7, 13, 14, 20, 20 and 16? (a) 14 (b) 18 (c) 16 (d) 15
12. 12.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 34 (b) 32 (c) 36 (d) 33
13. 13.What is the mode of 17, 5, 3, 3, 18, 3 and 17? (a) 17 (b) 5 (c) 18 (d) 3
14. 14.What is the mean of 20, 16, 19 and 5? (a) 20 (b) 12 (c) 16 (d) 15
15. 15.What is the mode of 5, 5, 20, 2, 20, 20 and 6? (a) 20 (b) 6 (c) 2 (d) 5
16. 16.The mean of 6 numbers is 30. When the number 23 is added to them, what is the new mean? (a) 29 (b) 31 (c) 30 (d) 28
17. 17.What is the median of 17, 21, 24, 7, 8, 18 and 2? (a) 7 (b) 17 (c) 18 (d) 8
18. 18.The mean of 3 numbers is 24. When the number 40 is added to them, what is the new mean? (a) 29 (b) 28 (c) 24 (d) 32
19. 19.What is the mean of 16, 6, 3 and 11? (a) 8 (b) 10 (c) 9 (d) 12
20. 20.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 33 (b) 32 (c) 30 (d) 31
21. 21.What is the mode of 14, 14, 15, 16, 3, 3 and 14? (a) 16 (b) 15 (c) 14 (d) 3
22. 22.What is the mode of 10, 12, 13, 17, 13, 13 and 12? (a) 10 (b) 12 (c) 17 (d) 13
23. 23.What is the mean of 18, 5, 3, 2 and 2? (a) 6 (b) 7 (c) 8 (d) 5
24. 24.The mean of 6 numbers is 10. When the number 24 is added to them, what is the new mean? (a) 17 (b) 10 (c) 13 (d) 12
25. 25.What is the mode of 7, 7, 14, 13, 14, 7 and 17? (a) 17 (b) 14 (c) 13 (d) 7
26. 26.What is the median of 37, 5, 24, 16 and 4? (a) 5 (b) 17 (c) 16 (d) 24
27. 27.The mean of 8 numbers is 28. When the number 19 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 26
28. 28.What is the mean of 13, 15, 9, 20, 8 and 13? (a) 13 (b) 14 (c) 12 (d) 15
29. 29.What is the mode of 16, 14, 1, 1, 14, 1 and 3? (a) 3 (b) 1 (c) 14 (d) 16
30. 30.What is the mean of 12, 2, 10, 13, 14 and 3? (a) 11 (b) 8 (c) 9 (d) 10
31. 31.What is the mode of 17, 14, 17, 11, 17, 11 and 8? (a) 11 (b) 17 (c) 8 (d) 14
32. 32.What is the mean of 8, 19, 17, 15, 2 and 11? (a) 12 (b) 14 (c) 11 (d) 13
33. 33.What is the mean of 14, 5, 18, 6, 17 and 24? (a) 13 (b) 15 (c) 14 (d) 12
34. 34.What is the mean of 8, 5, 12 and 19? (a) 13 (b) 12 (c) 11 (d) 10
35. 35.What is the median of 31, 36, 2, 3 and 37? (a) 3 (b) 2 (c) 31 (d) 36
36. 36.What is the median of 27, 8, 20, 13, 2, 21 and 32? (a) 20 (b) 13 (c) 21 (d) 19
37. 37.What is the mean of 6, 8, 7 and 7? (a) 8 (b) 6 (c) 9 (d) 7
38. 38.The mean of 6 numbers is 29. When the number 1 is added to them, what is the new mean? (a) 26 (b) 25 (c) 29 (d) 15
39. 39.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 22 (b) 17 (c) 12 (d) 16
40. 40.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 18 (b) 13 (c) 17 (d) 21

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