Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 684 · 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 10, 3, 8, 5 and 19? (a) 11 (b) 8 (c) 9 (d) 10
2. 2.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 41 (b) 25 (c) 29 (d) 30
3. 3.What is the mean of 19, 9, 5 and 3? (a) 9 (b) 10 (c) 12 (d) 8
4. 4.What is the mode of 19, 6, 6, 3, 10, 3 and 3? (a) 19 (b) 10 (c) 6 (d) 3
5. 5.What is the mode of 15, 4, 6, 4, 10, 4 and 6? (a) 4 (b) 10 (c) 15 (d) 6
6. 6.What is the median of 19, 16, 2, 26 and 12? (a) 2 (b) 16 (c) 19 (d) 15
7. 7.What is the mean of 20, 3, 7, 3 and 7? (a) 10 (b) 8 (c) 9 (d) 7
8. 8.What is the median of 19, 22, 1, 3, 25, 28 and 20? (a) 3 (b) 22 (c) 20 (d) 19
9. 9.What is the mean of 6, 4, 15 and 7? (a) 9 (b) 7 (c) 8 (d) 10
10. 10.What is the mean of 11, 3, 5 and 13? (a) 10 (b) 8 (c) 7 (d) 9
11. 11.What is the median of 11, 33, 7, 24, 21, 4 and 6? (a) 21 (b) 24 (c) 7 (d) 11
12. 12.What is the mean of 2, 4, 4, 4 and 6? (a) 6 (b) 3 (c) 4 (d) 5
13. 13.What is the mode of 17, 7, 9, 9, 4, 9 and 4? (a) 7 (b) 17 (c) 9 (d) 4
14. 14.What is the mean of 4, 16, 15, 10 and 10? (a) 13 (b) 10 (c) 11 (d) 12
15. 15.What is the mean of 3, 6, 12, 8, 16 and 21? (a) 10 (b) 12 (c) 13 (d) 11
16. 16.The mean of 6 numbers is 36. When the number 50 is added to them, what is the new mean? (a) 38 (b) 39 (c) 43 (d) 36
17. 17.What is the mean of 17, 5, 13 and 21? (a) 16 (b) 13 (c) 14 (d) 15
18. 18.What is the mode of 12, 9, 18, 14, 14, 9 and 14? (a) 9 (b) 14 (c) 18 (d) 12
19. 19.The mean of 9 numbers is 32. When the number 42 is added to them, what is the new mean? (a) 34 (b) 37 (c) 32 (d) 33
20. 20.What is the mean of 15, 10, 5, 4 and 6? (a) 9 (b) 8 (c) 7 (d) 10
21. 21.What is the mean of 13, 5, 2 and 8? (a) 8 (b) 7 (c) 9 (d) 6
22. 22.What is the mean of 20, 4, 10, 10 and 16? (a) 15 (b) 13 (c) 10 (d) 12
23. 23.What is the mean of 12, 6, 19, 7, 8 and 8? (a) 11 (b) 12 (c) 9 (d) 10
24. 24.What is the mode of 7, 18, 11, 18, 19, 19 and 18? (a) 18 (b) 11 (c) 7 (d) 19
25. 25.What is the median of 31, 30, 19, 4 and 7? (a) 20 (b) 30 (c) 19 (d) 7
26. 26.What is the median of 9, 28, 40, 15, 34, 10 and 23? (a) 23 (b) 15 (c) 24 (d) 28
27. 27.The mean of 3 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 19
28. 28.What is the mode of 13, 13, 3, 13, 2, 6 and 3? (a) 3 (b) 6 (c) 2 (d) 13
29. 29.What is the median of 4, 26, 28, 1, 30, 29 and 35? (a) 1 (b) 26 (c) 28 (d) 29
30. 30.The mean of 6 numbers is 26. When the number 5 is added to them, what is the new mean? (a) 22 (b) 24 (c) 26 (d) 23
31. 31.What is the mean of 6, 19, 9, 5 and 6? (a) 10 (b) 11 (c) 8 (d) 9
32. 32.What is the mean of 19, 15, 14, 6 and 6? (a) 15 (b) 10 (c) 12 (d) 13
33. 33.What is the mode of 16, 11, 12, 14, 12, 12 and 14? (a) 16 (b) 12 (c) 11 (d) 14
34. 34.What is the mode of 6, 19, 16, 8, 8, 6 and 8? (a) 8 (b) 19 (c) 16 (d) 6
35. 35.What is the median of 21, 6, 37, 13 and 30? (a) 13 (b) 37 (c) 21 (d) 30
36. 36.What is the median of 32, 4, 5, 7, 36, 11 and 31? (a) 31 (b) 18 (c) 7 (d) 11
37. 37.What is the mode of 3, 3, 16, 4, 3, 2 and 4? (a) 4 (b) 2 (c) 16 (d) 3
38. 38.What is the median of 8, 39, 4, 40, 17, 38 and 9? (a) 9 (b) 38 (c) 17 (d) 40
39. 39.What is the median of 19, 12, 32, 8, 6, 25 and 22? (a) 8 (b) 22 (c) 19 (d) 12
40. 40.What is the mean of 13, 12, 9, 13, 5 and 14? (a) 12 (b) 13 (c) 10 (d) 11

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