Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 397 · 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 18, 10, 5, 5 and 12? (a) 12 (b) 10 (c) 9 (d) 11
2. 2.What is the mean of 14, 13, 13, 6, 4 and 4? (a) 9 (b) 8 (c) 10 (d) 11
3. 3.What is the mode of 11, 5, 11, 11, 20, 19 and 20? (a) 20 (b) 19 (c) 5 (d) 11
4. 4.What is the mode of 8, 3, 13, 3, 13, 3 and 11? (a) 8 (b) 13 (c) 11 (d) 3
5. 5.What is the median of 9, 14, 40, 7, 3, 5 and 13? (a) 10 (b) 13 (c) 7 (d) 9
6. 6.What is the mode of 17, 3, 7, 7, 6, 3 and 7? (a) 6 (b) 7 (c) 17 (d) 3
7. 7.What is the mean of 11, 5, 13, 6 and 10? (a) 10 (b) 8 (c) 11 (d) 9
8. 8.What is the mode of 4, 5, 4, 5, 14, 18 and 4? (a) 5 (b) 14 (c) 4 (d) 18
9. 9.The mean of 9 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 35 (b) 32 (c) 30 (d) 31
10. 10.What is the median of 27, 5, 24, 6, 11, 8 and 13? (a) 11 (b) 13 (c) 8 (d) 6
11. 11.What is the median of 8, 24, 9, 27, 31, 22 and 5? (a) 24 (b) 22 (c) 27 (d) 18
12. 12.What is the mode of 7, 10, 18, 10, 7, 16 and 7? (a) 16 (b) 7 (c) 18 (d) 10
13. 13.What is the mode of 11, 19, 11, 7, 8, 7 and 11? (a) 19 (b) 7 (c) 11 (d) 8
14. 14.What is the mean of 7, 18, 15, 3 and 22? (a) 15 (b) 12 (c) 13 (d) 14
15. 15.What is the mean of 6, 5, 2 and 11? (a) 8 (b) 7 (c) 5 (d) 6
16. 16.What is the mean of 13, 12, 10 and 21? (a) 14 (b) 15 (c) 13 (d) 16
17. 17.What is the mode of 5, 16, 8, 8, 6, 16 and 8? (a) 6 (b) 8 (c) 16 (d) 5
18. 18.What is the mean of 19, 15, 19, 7, 6 and 12? (a) 14 (b) 13 (c) 15 (d) 12
19. 19.What is the mean of 6, 12, 18, 3, 5 and 4? (a) 7 (b) 8 (c) 10 (d) 9
20. 20.What is the mean of 5, 7, 13, 8 and 22? (a) 12 (b) 13 (c) 11 (d) 10
21. 21.What is the mean of 15, 7, 2 and 4? (a) 6 (b) 9 (c) 8 (d) 7
22. 22.The mean of 5 numbers is 28. When the number 10 is added to them, what is the new mean? (a) 26 (b) 28 (c) 25 (d) 19
23. 23.The mean of 3 numbers is 23. When the number 19 is added to them, what is the new mean? (a) 21 (b) 24 (c) 23 (d) 22
24. 24.What is the mode of 17, 20, 14, 17, 4, 4 and 4? (a) 17 (b) 4 (c) 14 (d) 20
25. 25.What is the mode of 10, 3, 1, 10, 1, 19 and 10? (a) 10 (b) 3 (c) 19 (d) 1
26. 26.What is the mean of 6, 3, 15 and 12? (a) 10 (b) 9 (c) 8 (d) 12
27. 27.What is the mode of 4, 4, 8, 8, 8, 16 and 17? (a) 17 (b) 8 (c) 4 (d) 16
28. 28.What is the mean of 14, 13, 19, 8, 9 and 9? (a) 13 (b) 12 (c) 11 (d) 14
29. 29.What is the mode of 16, 5, 1, 2, 5, 5 and 1? (a) 1 (b) 2 (c) 5 (d) 16
30. 30.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 9 (b) 11 (c) 10 (d) 12
31. 31.The mean of 4 numbers is 20. When the number 10 is added to them, what is the new mean? (a) 20 (b) 19 (c) 15 (d) 18
32. 32.The mean of 8 numbers is 10. When the number 46 is added to them, what is the new mean? (a) 28 (b) 15 (c) 10 (d) 14
33. 33.What is the mean of 9, 6, 5, 8, 5 and 21? (a) 8 (b) 11 (c) 9 (d) 10
34. 34.What is the median of 4, 21, 10, 33 and 12? (a) 21 (b) 16 (c) 10 (d) 12
35. 35.What is the mode of 2, 20, 10, 9, 10, 20 and 10? (a) 2 (b) 9 (c) 20 (d) 10
36. 36.What is the mode of 5, 16, 16, 9, 8, 5 and 16? (a) 8 (b) 5 (c) 9 (d) 16
37. 37.What is the mean of 4, 14, 9 and 17? (a) 10 (b) 12 (c) 11 (d) 13
38. 38.What is the median of 24, 36, 12, 38, 16, 2 and 4? (a) 24 (b) 12 (c) 38 (d) 16
39. 39.What is the median of 12, 2, 29, 25 and 7? (a) 29 (b) 12 (c) 15 (d) 25
40. 40.What is the mean of 15, 3, 5, 15 and 12? (a) 12 (b) 9 (c) 10 (d) 11

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