Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 636 · 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 19, 10, 2, 13, 13, 13 and 10? (a) 19 (b) 13 (c) 10 (d) 2
2. 2.What is the median of 10, 1, 8, 32 and 39? (a) 8 (b) 18 (c) 32 (d) 10
3. 3.What is the mode of 13, 15, 15, 19, 15, 18 and 18? (a) 19 (b) 18 (c) 13 (d) 15
4. 4.What is the mean of 17, 9, 18, 18, 13 and 15? (a) 18 (b) 15 (c) 14 (d) 16
5. 5.What is the mean of 3, 20, 11, 3 and 3? (a) 8 (b) 9 (c) 10 (d) 7
6. 6.The mean of 5 numbers is 34. When the number 10 is added to them, what is the new mean? (a) 22 (b) 31 (c) 30 (d) 34
7. 7.What is the median of 3, 6, 8, 22, 11, 9 and 28? (a) 11 (b) 9 (c) 22 (d) 8
8. 8.What is the median of 35, 24, 3, 40, 11, 2 and 1? (a) 11 (b) 3 (c) 24 (d) 40
9. 9.What is the median of 22, 3, 31, 17 and 10? (a) 22 (b) 10 (c) 31 (d) 17
10. 10.What is the mean of 19, 6, 20, 8 and 17? (a) 13 (b) 15 (c) 14 (d) 16
11. 11.What is the median of 35, 13, 21, 34 and 15? (a) 22 (b) 21 (c) 15 (d) 34
12. 12.What is the mode of 7, 6, 13, 7, 6, 1 and 6? (a) 6 (b) 7 (c) 1 (d) 13
13. 13.What is the median of 9, 27, 35, 1, 12, 7 and 4? (a) 7 (b) 1 (c) 9 (d) 12
14. 14.What is the median of 14, 3, 21, 40 and 36? (a) 14 (b) 22 (c) 36 (d) 21
15. 15.What is the mode of 12, 1, 12, 1, 10, 1 and 16? (a) 12 (b) 16 (c) 10 (d) 1
16. 16.What is the median of 7, 24, 22, 34 and 25? (a) 25 (b) 22 (c) 24 (d) 23
17. 17.What is the mean of 13, 3, 19, 17 and 18? (a) 16 (b) 13 (c) 14 (d) 15
18. 18.What is the mean of 15, 4, 2, 10, 19 and 10? (a) 12 (b) 9 (c) 11 (d) 10
19. 19.What is the median of 27, 16, 13, 11 and 19? (a) 17 (b) 16 (c) 13 (d) 19
20. 20.What is the mean of 13, 10, 4 and 17? (a) 13 (b) 12 (c) 11 (d) 10
21. 21.What is the mean of 16, 19, 2, 13 and 15? (a) 14 (b) 12 (c) 15 (d) 13
22. 22.What is the mean of 9, 16, 8, 7, 8 and 12? (a) 11 (b) 10 (c) 12 (d) 9
23. 23.What is the mean of 18, 13, 20 and 17? (a) 17 (b) 19 (c) 16 (d) 18
24. 24.The mean of 4 numbers is 21. When the number 6 is added to them, what is the new mean? (a) 21 (b) 18 (c) 19 (d) 17
25. 25.What is the mean of 13, 17, 8, 19, 15 and 12? (a) 13 (b) 15 (c) 12 (d) 14
26. 26.What is the median of 36, 10, 35, 34, 8, 11 and 4? (a) 10 (b) 12 (c) 34 (d) 11
27. 27.What is the median of 11, 1, 4, 33, 16, 39 and 21? (a) 16 (b) 33 (c) 21 (d) 11
28. 28.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 25 (b) 10 (c) 13 (d) 14
29. 29.What is the median of 38, 36, 21, 30, 15, 24 and 7? (a) 21 (b) 30 (c) 24 (d) 25
30. 30.What is the mode of 12, 12, 8, 6, 6, 7 and 12? (a) 8 (b) 12 (c) 6 (d) 7
31. 31.What is the mode of 15, 19, 15, 19, 15, 18 and 2? (a) 19 (b) 2 (c) 18 (d) 15
32. 32.What is the mode of 14, 1, 19, 1, 14, 1 and 2? (a) 19 (b) 2 (c) 14 (d) 1
33. 33.What is the mean of 16, 15, 13 and 20? (a) 17 (b) 15 (c) 16 (d) 18
34. 34.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 37 (b) 34 (c) 39 (d) 38
35. 35.What is the mode of 2, 8, 8, 9, 2, 17 and 2? (a) 8 (b) 9 (c) 2 (d) 17
36. 36.What is the mean of 15, 18, 19, 11, 9 and 12? (a) 13 (b) 14 (c) 15 (d) 12
37. 37.What is the mode of 12, 17, 19, 12, 17, 8 and 17? (a) 17 (b) 8 (c) 19 (d) 12
38. 38.What is the median of 28, 38, 21, 14 and 31? (a) 31 (b) 21 (c) 28 (d) 29
39. 39.What is the mean of 20, 11, 13 and 20? (a) 16 (b) 17 (c) 18 (d) 15
40. 40.The mean of 7 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 28 (b) 24 (c) 26 (d) 25

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