Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 679 · 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 23. When the number 31 is added to them, what is the new mean? (a) 23 (b) 25 (c) 26 (d) 27
2. 2.What is the mode of 19, 19, 4, 14, 3, 19 and 3? (a) 19 (b) 4 (c) 3 (d) 14
3. 3.The mean of 5 numbers is 38. When the number 44 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
4. 4.What is the mean of 17, 16, 14, 16, 19 and 20? (a) 18 (b) 16 (c) 17 (d) 19
5. 5.What is the mode of 15, 18, 18, 11, 11, 8 and 18? (a) 15 (b) 8 (c) 18 (d) 11
6. 6.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 30 (b) 31 (c) 21 (d) 29
7. 7.What is the median of 35, 38, 29, 25 and 12? (a) 30 (b) 25 (c) 29 (d) 35
8. 8.What is the mean of 9, 14, 12 and 9? (a) 11 (b) 12 (c) 13 (d) 10
9. 9.What is the mean of 6, 7, 14 and 13? (a) 11 (b) 8 (c) 9 (d) 10
10. 10.What is the median of 37, 30, 11, 5 and 27? (a) 22 (b) 27 (c) 30 (d) 11
11. 11.What is the median of 32, 38, 25, 39, 37, 27 and 2? (a) 32 (b) 39 (c) 27 (d) 37
12. 12.What is the mean of 3, 16, 6 and 7? (a) 9 (b) 10 (c) 8 (d) 7
13. 13.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
14. 14.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 27 (b) 24 (c) 25 (d) 26
15. 15.The mean of 8 numbers is 11. When the number 47 is added to them, what is the new mean? (a) 29 (b) 16 (c) 15 (d) 11
16. 16.What is the mean of 12, 16, 7, 18 and 12? (a) 12 (b) 15 (c) 14 (d) 13
17. 17.What is the median of 4, 39, 20, 16 and 1? (a) 4 (b) 16 (c) 17 (d) 20
18. 18.What is the mode of 6, 3, 8, 4, 3, 3 and 4? (a) 4 (b) 8 (c) 6 (d) 3
19. 19.The mean of 7 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 22 (b) 34 (c) 26 (d) 25
20. 20.What is the mode of 7, 5, 12, 5, 5, 12 and 17? (a) 17 (b) 12 (c) 5 (d) 7
21. 21.What is the mean of 9, 12, 7, 2, 5 and 19? (a) 9 (b) 11 (c) 8 (d) 10
22. 22.What is the mean of 14, 15, 9 and 22? (a) 16 (b) 15 (c) 12 (d) 20
23. 23.What is the median of 16, 25, 2, 32 and 7? (a) 25 (b) 2 (c) 7 (d) 16
24. 24.What is the mean of 4, 6, 18, 18 and 9? (a) 12 (b) 13 (c) 10 (d) 11
25. 25.What is the mean of 3, 18, 18, 17 and 24? (a) 16 (b) 17 (c) 20 (d) 15
26. 26.What is the mode of 4, 10, 1, 12, 10, 12 and 12? (a) 4 (b) 12 (c) 1 (d) 10
27. 27.The mean of 8 numbers is 23. When the number 14 is added to them, what is the new mean? (a) 23 (b) 21 (c) 24 (d) 22
28. 28.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 30 (b) 28 (c) 32 (d) 29
29. 29.What is the mean of 13, 14, 6 and 7? (a) 8 (b) 11 (c) 10 (d) 9
30. 30.What is the mean of 14, 7, 5, 6 and 3? (a) 6 (b) 9 (c) 7 (d) 8
31. 31.What is the mode of 14, 12, 17, 6, 14, 14 and 6? (a) 12 (b) 17 (c) 6 (d) 14
32. 32.What is the median of 38, 34, 35, 21, 31, 2 and 20? (a) 21 (b) 32 (c) 34 (d) 31
33. 33.What is the median of 7, 10, 29, 23, 27, 16 and 28? (a) 16 (b) 27 (c) 20 (d) 23
34. 34.What is the mean of 4, 9, 5 and 18? (a) 9 (b) 8 (c) 12 (d) 10
35. 35.What is the mean of 17, 5, 4 and 10? (a) 9 (b) 8 (c) 10 (d) 12
36. 36.What is the mode of 20, 1, 20, 3, 16, 1 and 1? (a) 16 (b) 3 (c) 20 (d) 1
37. 37.What is the mean of 20, 3, 15 and 22? (a) 20 (b) 15 (c) 16 (d) 12
38. 38.What is the mean of 3, 19, 5, 2 and 21? (a) 10 (b) 9 (c) 11 (d) 12
39. 39.What is the mode of 5, 18, 16, 8, 18, 5 and 5? (a) 18 (b) 5 (c) 16 (d) 8
40. 40.What is the median of 10, 21, 39, 35, 24, 3 and 16? (a) 24 (b) 35 (c) 16 (d) 21

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