Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 584 · 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 3 numbers is 19. When the number 31 is added to them, what is the new mean? (a) 25 (b) 23 (c) 19 (d) 22
2. 2.What is the mode of 6, 8, 2, 4, 2, 2 and 4? (a) 6 (b) 2 (c) 4 (d) 8
3. 3.What is the mean of 19, 9, 5, 16, 6 and 11? (a) 11 (b) 10 (c) 13 (d) 12
4. 4.What is the mean of 2, 9, 5 and 4? (a) 6 (b) 5 (c) 7 (d) 4
5. 5.What is the mean of 15, 13, 10, 6 and 11? (a) 11 (b) 12 (c) 13 (d) 10
6. 6.What is the mean of 17, 2, 3 and 18? (a) 10 (b) 8 (c) 11 (d) 9
7. 7.What is the median of 25, 11, 7, 35 and 20? (a) 11 (b) 20 (c) 25 (d) 7
8. 8.What is the mean of 10, 16, 17, 14, 11 and 22? (a) 16 (b) 18 (c) 14 (d) 15
9. 9.What is the mean of 15, 16, 19 and 18? (a) 16 (b) 19 (c) 18 (d) 17
10. 10.What is the mode of 1, 13, 13, 18, 19, 1 and 13? (a) 18 (b) 13 (c) 19 (d) 1
11. 11.What is the mode of 4, 17, 3, 3, 6, 3 and 17? (a) 4 (b) 17 (c) 3 (d) 6
12. 12.What is the median of 10, 18, 11, 21 and 36? (a) 21 (b) 19 (c) 11 (d) 18
13. 13.What is the mean of 3, 8, 15, 9 and 10? (a) 8 (b) 10 (c) 9 (d) 11
14. 14.What is the median of 24, 36, 7, 21 and 13? (a) 7 (b) 24 (c) 13 (d) 21
15. 15.What is the mean of 4, 11, 10 and 3? (a) 9 (b) 7 (c) 6 (d) 8
16. 16.What is the mode of 16, 1, 14, 1, 4, 4 and 1? (a) 1 (b) 4 (c) 14 (d) 16
17. 17.What is the mean of 5, 18, 17, 13 and 7? (a) 13 (b) 12 (c) 10 (d) 15
18. 18.What is the mean of 8, 2, 20, 10 and 20? (a) 12 (b) 15 (c) 10 (d) 13
19. 19.What is the mode of 20, 15, 16, 20, 20, 16 and 9? (a) 16 (b) 9 (c) 20 (d) 15
20. 20.What is the mean of 8, 8, 8 and 16? (a) 11 (b) 10 (c) 9 (d) 8
21. 21.What is the median of 33, 19, 5, 3 and 17? (a) 5 (b) 18 (c) 17 (d) 19
22. 22.What is the mean of 16, 15, 5 and 4? (a) 9 (b) 11 (c) 8 (d) 10
23. 23.What is the mean of 14, 19, 11, 18 and 3? (a) 14 (b) 12 (c) 13 (d) 15
24. 24.What is the median of 40, 6, 35, 37 and 28? (a) 36 (b) 28 (c) 35 (d) 37
25. 25.What is the mode of 2, 20, 10, 2, 10, 10 and 1? (a) 20 (b) 2 (c) 1 (d) 10
26. 26.The mean of 5 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 37 (b) 25 (c) 29 (d) 30
27. 27.What is the mean of 13, 3, 4 and 8? (a) 8 (b) 6 (c) 7 (d) 9
28. 28.What is the mean of 5, 3, 7 and 5? (a) 4 (b) 5 (c) 7 (d) 6
29. 29.What is the mean of 12, 10, 12, 5, 17 and 22? (a) 14 (b) 12 (c) 13 (d) 15
30. 30.What is the mean of 2, 7, 17, 2, 2 and 6? (a) 8 (b) 5 (c) 6 (d) 7
31. 31.What is the median of 11, 2, 23, 18 and 24? (a) 19 (b) 11 (c) 23 (d) 18
32. 32.What is the mean of 13, 11, 10 and 6? (a) 9 (b) 8 (c) 10 (d) 11
33. 33.What is the mode of 6, 6, 2, 20, 6, 20 and 12? (a) 20 (b) 2 (c) 12 (d) 6
34. 34.What is the mean of 17, 17, 11 and 3? (a) 11 (b) 16 (c) 12 (d) 13
35. 35.What is the median of 15, 1, 14, 23 and 4? (a) 14 (b) 13 (c) 15 (d) 4
36. 36.The mean of 7 numbers is 15. When the number 47 is added to them, what is the new mean? (a) 15 (b) 20 (c) 31 (d) 19
37. 37.What is the mean of 3, 11, 19 and 11? (a) 10 (b) 13 (c) 12 (d) 11
38. 38.What is the mode of 11, 11, 3, 20, 11, 5 and 3? (a) 5 (b) 11 (c) 20 (d) 3
39. 39.The mean of 7 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 14 (b) 15 (c) 13 (d) 11
40. 40.The mean of 5 numbers is 38. When the number 32 is added to them, what is the new mean? (a) 35 (b) 38 (c) 36 (d) 37

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