Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 92 · 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 2, 3, 11, 14, 5 and 7? (a) 6 (b) 8 (c) 7 (d) 9
2. 2.What is the mode of 2, 8, 2, 20, 15, 2 and 8? (a) 20 (b) 2 (c) 15 (d) 8
3. 3.What is the median of 23, 10, 3, 13 and 21? (a) 13 (b) 3 (c) 21 (d) 14
4. 4.What is the mean of 5, 11, 2 and 18? (a) 12 (b) 8 (c) 10 (d) 9
5. 5.What is the mean of 17, 9, 13 and 17? (a) 13 (b) 15 (c) 14 (d) 16
6. 6.What is the median of 21, 35, 39, 7 and 12? (a) 35 (b) 12 (c) 39 (d) 21
7. 7.What is the mode of 19, 1, 5, 5, 5, 7 and 19? (a) 7 (b) 5 (c) 19 (d) 1
8. 8.What is the mean of 20, 6, 18, 18, 18 and 22? (a) 18 (b) 17 (c) 16 (d) 19
9. 9.What is the median of 8, 23, 35, 40 and 31? (a) 35 (b) 31 (c) 32 (d) 23
10. 10.The mean of 7 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 25 (b) 24 (c) 28 (d) 26
11. 11.What is the mode of 19, 19, 7, 19, 10, 9 and 10? (a) 19 (b) 9 (c) 7 (d) 10
12. 12.What is the mode of 7, 13, 6, 13, 14, 7 and 13? (a) 14 (b) 13 (c) 6 (d) 7
13. 13.What is the mode of 4, 14, 4, 7, 7, 8 and 4? (a) 4 (b) 8 (c) 7 (d) 14
14. 14.What is the median of 12, 25, 16, 3 and 26? (a) 12 (b) 17 (c) 25 (d) 16
15. 15.What is the mean of 9, 12, 10 and 9? (a) 8 (b) 9 (c) 11 (d) 10
16. 16.What is the median of 27, 18, 7, 40 and 33? (a) 7 (b) 27 (c) 33 (d) 25
17. 17.The mean of 8 numbers is 10. When the number 19 is added to them, what is the new mean? (a) 12 (b) 13 (c) 11 (d) 10
18. 18.What is the mean of 7, 7, 13, 4 and 19? (a) 10 (b) 11 (c) 9 (d) 12
19. 19.What is the mode of 8, 5, 2, 12, 2, 8 and 8? (a) 2 (b) 5 (c) 12 (d) 8
20. 20.What is the mean of 16, 4, 8 and 4? (a) 9 (b) 8 (c) 7 (d) 10
21. 21.What is the mode of 3, 15, 9, 15, 8, 8 and 15? (a) 15 (b) 8 (c) 3 (d) 9
22. 22.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 48 (b) 37 (c) 33 (d) 36
23. 23.What is the mode of 4, 4, 6, 6, 11, 17 and 6? (a) 11 (b) 17 (c) 6 (d) 4
24. 24.What is the mode of 1, 20, 20, 19, 1, 20 and 10? (a) 10 (b) 19 (c) 1 (d) 20
25. 25.What is the median of 25, 39, 21, 34 and 27? (a) 27 (b) 25 (c) 34 (d) 21
26. 26.What is the mean of 18, 19, 8, 4 and 16? (a) 12 (b) 13 (c) 15 (d) 14
27. 27.What is the mean of 12, 6, 8, 9, 6 and 19? (a) 12 (b) 9 (c) 11 (d) 10
28. 28.What is the mean of 8, 6, 17, 16, 7 and 18? (a) 11 (b) 13 (c) 14 (d) 12
29. 29.The mean of 6 numbers is 32. When the number 25 is added to them, what is the new mean? (a) 32 (b) 31 (c) 33 (d) 30
30. 30.The mean of 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 18
31. 31.What is the median of 34, 8, 21, 23 and 12? (a) 23 (b) 21 (c) 22 (d) 12
32. 32.What is the mode of 8, 19, 5, 19, 2, 19 and 8? (a) 8 (b) 2 (c) 5 (d) 19
33. 33.What is the mean of 20, 4, 9, 13, 17 and 15? (a) 13 (b) 12 (c) 15 (d) 14
34. 34.What is the median of 6, 15, 16, 17, 36, 33 and 32? (a) 16 (b) 32 (c) 18 (d) 17
35. 35.What is the mean of 2, 12, 14, 15 and 12? (a) 10 (b) 13 (c) 12 (d) 11
36. 36.What is the mean of 12, 10, 17, 16 and 15? (a) 15 (b) 16 (c) 13 (d) 14
37. 37.What is the median of 4, 26, 20, 11 and 16? (a) 20 (b) 11 (c) 17 (d) 16
38. 38.What is the mean of 8, 3, 3 and 14? (a) 8 (b) 6 (c) 7 (d) 9
39. 39.What is the mean of 3, 19, 20, 19, 10 and 7? (a) 14 (b) 12 (c) 15 (d) 13
40. 40.The mean of 3 numbers is 23. When the number 39 is added to them, what is the new mean? (a) 28 (b) 31 (c) 27 (d) 23

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