Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 217 · 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, 2, 13, 9 and 11? (a) 8 (b) 11 (c) 9 (d) 10
2. 2.What is the mean of 12, 4, 5, 18 and 6? (a) 11 (b) 10 (c) 9 (d) 8
3. 3.What is the mean of 12, 3, 13, 7, 12 and 19? (a) 10 (b) 12 (c) 13 (d) 11
4. 4.What is the median of 36, 21, 7, 33 and 20? (a) 20 (b) 33 (c) 21 (d) 7
5. 5.What is the mean of 9, 9, 20, 7 and 15? (a) 15 (b) 13 (c) 12 (d) 10
6. 6.The mean of 9 numbers is 33. When the number 73 is added to them, what is the new mean? (a) 37 (b) 38 (c) 53 (d) 33
7. 7.What is the mean of 17, 15, 17, 17, 2 and 10? (a) 14 (b) 15 (c) 13 (d) 12
8. 8.What is the mean of 7, 15, 6 and 20? (a) 16 (b) 12 (c) 11 (d) 13
9. 9.What is the mode of 19, 13, 4, 13, 10, 13 and 19? (a) 19 (b) 10 (c) 4 (d) 13
10. 10.What is the mode of 16, 13, 14, 7, 13, 16 and 13? (a) 16 (b) 7 (c) 13 (d) 14
11. 11.What is the median of 5, 40, 21, 13 and 34? (a) 22 (b) 21 (c) 13 (d) 34
12. 12.What is the mode of 5, 10, 3, 5, 3, 5 and 17? (a) 17 (b) 3 (c) 5 (d) 10
13. 13.What is the mean of 12, 11, 7 and 18? (a) 13 (b) 11 (c) 16 (d) 12
14. 14.What is the median of 26, 29, 37, 23 and 5? (a) 26 (b) 37 (c) 24 (d) 29
15. 15.What is the median of 3, 8, 7, 24 and 4? (a) 4 (b) 6 (c) 7 (d) 8
16. 16.What is the mean of 13, 2, 3 and 18? (a) 8 (b) 9 (c) 10 (d) 12
17. 17.What is the mode of 20, 14, 10, 20, 10, 1 and 20? (a) 20 (b) 14 (c) 1 (d) 10
18. 18.What is the mean of 9, 14, 7, 4, 20 and 18? (a) 13 (b) 11 (c) 14 (d) 12
19. 19.What is the median of 8, 18, 38, 20 and 16? (a) 38 (b) 20 (c) 16 (d) 18
20. 20.The mean of 9 numbers is 40. When the number 80 is added to them, what is the new mean? (a) 40 (b) 45 (c) 60 (d) 44
21. 21.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 9 (c) 13 (d) 12
22. 22.The mean of 7 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 30 (b) 32 (c) 20 (d) 29
23. 23.What is the mean of 13, 2, 5, 8 and 22? (a) 11 (b) 9 (c) 10 (d) 12
24. 24.What is the median of 37, 9, 18, 17, 31, 19 and 21? (a) 17 (b) 21 (c) 18 (d) 19
25. 25.The mean of 3 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 28 (b) 20 (c) 25 (d) 24
26. 26.What is the mode of 17, 17, 4, 19, 13, 13 and 13? (a) 4 (b) 17 (c) 13 (d) 19
27. 27.What is the mean of 4, 13, 9, 7, 15 and 12? (a) 12 (b) 10 (c) 9 (d) 11
28. 28.The mean of 4 numbers is 31. When the number 41 is added to them, what is the new mean? (a) 36 (b) 31 (c) 34 (d) 33
29. 29.What is the mean of 19, 14, 14, 12 and 6? (a) 13 (b) 12 (c) 14 (d) 15
30. 30.What is the mean of 13, 16, 16 and 7? (a) 14 (b) 12 (c) 13 (d) 15
31. 31.What is the median of 10, 14, 38, 34 and 39? (a) 14 (b) 27 (c) 34 (d) 38
32. 32.What is the mean of 10, 17, 5 and 16? (a) 11 (b) 12 (c) 13 (d) 16
33. 33.What is the median of 1, 21, 9, 35 and 29? (a) 29 (b) 9 (c) 21 (d) 19
34. 34.The mean of 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 29 (b) 19 (c) 22 (d) 21
35. 35.What is the mode of 4, 9, 2, 4, 20, 20 and 4? (a) 20 (b) 2 (c) 4 (d) 9
36. 36.What is the mean of 13, 10, 14, 12 and 21? (a) 16 (b) 14 (c) 13 (d) 15
37. 37.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 27 (b) 28 (c) 26 (d) 25
38. 38.What is the median of 30, 3, 33, 19, 11, 13 and 9? (a) 14 (b) 19 (c) 13 (d) 11
39. 39.What is the mean of 6, 9, 6, 14, 14 and 5? (a) 8 (b) 11 (c) 9 (d) 10
40. 40.What is the mean of 4, 6, 14 and 8? (a) 10 (b) 9 (c) 8 (d) 7

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