Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 351 · 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 median of 9, 21, 20, 2 and 31? (a) 19 (b) 9 (c) 20 (d) 21
2. 2.The mean of 3 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 26 (b) 27 (c) 23 (d) 25
3. 3.What is the mean of 4, 14, 20 and 14? (a) 15 (b) 12 (c) 14 (d) 13
4. 4.What is the mean of 13, 16, 19, 14 and 18? (a) 17 (b) 16 (c) 15 (d) 20
5. 5.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 34 (b) 30 (c) 32 (d) 33
6. 6.What is the mean of 5, 12, 15 and 12? (a) 10 (b) 11 (c) 13 (d) 12
7. 7.What is the mean of 8, 8, 19 and 5? (a) 11 (b) 10 (c) 9 (d) 8
8. 8.What is the mean of 5, 15, 6, 16, 14 and 22? (a) 12 (b) 15 (c) 14 (d) 13
9. 9.What is the median of 30, 8, 26, 3, 38, 9 and 21? (a) 3 (b) 21 (c) 9 (d) 26
10. 10.What is the mean of 11, 11, 9, 14, 5 and 10? (a) 11 (b) 12 (c) 9 (d) 10
11. 11.What is the mean of 4, 17, 14, 16, 16 and 11? (a) 14 (b) 15 (c) 13 (d) 12
12. 12.What is the median of 25, 31, 38, 24 and 40? (a) 38 (b) 32 (c) 31 (d) 25
13. 13.What is the mode of 14, 2, 4, 2, 14, 2 and 11? (a) 4 (b) 14 (c) 2 (d) 11
14. 14.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 39 (b) 42 (c) 45 (d) 41
15. 15.What is the median of 2, 33, 22, 10 and 3? (a) 22 (b) 14 (c) 10 (d) 3
16. 16.What is the mean of 16, 5, 8 and 15? (a) 12 (b) 13 (c) 10 (d) 11
17. 17.What is the mean of 20, 12, 18 and 2? (a) 15 (b) 12 (c) 13 (d) 14
18. 18.What is the median of 29, 30, 14, 15, 22, 23 and 4? (a) 15 (b) 23 (c) 21 (d) 22
19. 19.What is the mean of 14, 5, 9, 19, 2 and 17? (a) 10 (b) 13 (c) 11 (d) 12
20. 20.What is the mode of 10, 19, 13, 19, 13, 6 and 13? (a) 10 (b) 6 (c) 13 (d) 19
21. 21.What is the median of 11, 24, 15, 19, 27, 4 and 20? (a) 18 (b) 15 (c) 20 (d) 19
22. 22.The mean of 8 numbers is 25. When the number 34 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 28
23. 23.The mean of 3 numbers is 23. When the number 27 is added to them, what is the new mean? (a) 23 (b) 26 (c) 25 (d) 24
24. 24.What is the mode of 1, 2, 6, 10, 10, 10 and 6? (a) 10 (b) 1 (c) 6 (d) 2
25. 25.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 14 (b) 15 (c) 11 (d) 26
26. 26.The mean of 6 numbers is 35. When the number 42 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 35
27. 27.The mean of 6 numbers is 30. When the number 9 is added to them, what is the new mean? (a) 26 (b) 30 (c) 27 (d) 28
28. 28.What is the median of 20, 19, 15, 14 and 3? (a) 14 (b) 16 (c) 15 (d) 19
29. 29.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 11 (b) 12 (c) 7 (d) 10
30. 30.What is the mean of 14, 18, 6 and 18? (a) 16 (b) 15 (c) 13 (d) 14
31. 31.What is the mean of 2, 11, 16 and 7? (a) 12 (b) 8 (c) 10 (d) 9
32. 32.What is the mode of 1, 7, 14, 1, 15, 14 and 14? (a) 7 (b) 1 (c) 14 (d) 15
33. 33.What is the mean of 2, 16, 16, 7, 9 and 4? (a) 8 (b) 11 (c) 10 (d) 9
34. 34.What is the mean of 4, 10, 15 and 19? (a) 16 (b) 13 (c) 11 (d) 12
35. 35.What is the median of 8, 14, 6, 24 and 18? (a) 14 (b) 18 (c) 6 (d) 8
36. 36.What is the mean of 7, 17, 19, 14 and 8? (a) 14 (b) 12 (c) 15 (d) 13
37. 37.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 19 (b) 13 (c) 17 (d) 16
38. 38.What is the mean of 6, 3, 3, 14 and 19? (a) 8 (b) 9 (c) 11 (d) 10
39. 39.What is the mean of 5, 7, 18, 16, 4 and 22? (a) 14 (b) 12 (c) 11 (d) 13
40. 40.The mean of 8 numbers is 13. When the number 22 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 14

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