Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 327 · 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 4, 28, 16, 38 and 2? (a) 28 (b) 17 (c) 16 (d) 4
2. 2.What is the mode of 15, 13, 15, 13, 13, 9 and 20? (a) 20 (b) 9 (c) 13 (d) 15
3. 3.What is the mode of 4, 19, 4, 4, 18, 19 and 15? (a) 15 (b) 18 (c) 4 (d) 19
4. 4.What is the mean of 16, 2, 9, 18 and 5? (a) 9 (b) 10 (c) 11 (d) 12
5. 5.What is the median of 8, 40, 15, 10 and 23? (a) 15 (b) 10 (c) 23 (d) 16
6. 6.What is the mean of 19, 19, 10, 2 and 20? (a) 14 (b) 16 (c) 13 (d) 15
7. 7.What is the median of 27, 30, 28, 8 and 21? (a) 21 (b) 27 (c) 28 (d) 26
8. 8.What is the median of 10, 3, 37, 34, 33, 6 and 36? (a) 34 (b) 33 (c) 32 (d) 10
9. 9.What is the mean of 20, 14, 10 and 16? (a) 15 (b) 16 (c) 12 (d) 20
10. 10.What is the median of 9, 39, 24, 18, 2, 4 and 23? (a) 9 (b) 18 (c) 23 (d) 17
11. 11.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 16 (b) 13 (c) 15 (d) 14
12. 12.What is the median of 11, 9, 20, 13, 30, 32 and 12? (a) 12 (b) 13 (c) 20 (d) 14
13. 13.What is the mean of 17, 8, 15, 8, 4 and 8? (a) 11 (b) 10 (c) 9 (d) 12
14. 14.What is the mean of 15, 2, 14 and 17? (a) 13 (b) 11 (c) 12 (d) 16
15. 15.What is the mode of 1, 1, 19, 5, 9, 19 and 19? (a) 9 (b) 19 (c) 5 (d) 1
16. 16.What is the mode of 6, 8, 9, 8, 13, 13 and 13? (a) 6 (b) 9 (c) 8 (d) 13
17. 17.What is the mode of 17, 1, 19, 1, 10, 17 and 17? (a) 19 (b) 1 (c) 17 (d) 10
18. 18.The mean of 9 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 22
19. 19.What is the mean of 8, 17, 18 and 13? (a) 13 (b) 15 (c) 16 (d) 14
20. 20.What is the median of 34, 1, 8, 27 and 29? (a) 28 (b) 27 (c) 8 (d) 29
21. 21.The mean of 9 numbers is 23. When the number 53 is added to them, what is the new mean? (a) 38 (b) 23 (c) 27 (d) 26
22. 22.What is the median of 6, 28, 24, 23 and 38? (a) 25 (b) 28 (c) 23 (d) 24
23. 23.What is the median of 33, 16, 25, 6 and 35? (a) 25 (b) 16 (c) 33 (d) 23
24. 24.What is the mode of 16, 20, 20, 2, 19, 19 and 19? (a) 20 (b) 19 (c) 2 (d) 16
25. 25.What is the median of 30, 16, 13, 27, 7, 17 and 31? (a) 16 (b) 27 (c) 18 (d) 17
26. 26.What is the mode of 3, 3, 5, 5, 4, 3 and 11? (a) 5 (b) 4 (c) 3 (d) 11
27. 27.The mean of 3 numbers is 23. When the number 27 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 24
28. 28.What is the mean of 15, 14, 19 and 16? (a) 16 (b) 15 (c) 17 (d) 18
29. 29.The mean of 3 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 42 (b) 44 (c) 41 (d) 38
30. 30.The mean of 5 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 18 (b) 25 (c) 24 (d) 27
31. 31.What is the mode of 5, 5, 10, 20, 10, 10 and 11? (a) 10 (b) 11 (c) 20 (d) 5
32. 32.What is the mean of 3, 5, 6, 8 and 18? (a) 10 (b) 8 (c) 9 (d) 7
33. 33.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 30 (c) 31 (d) 32
34. 34.What is the mode of 10, 7, 7, 20, 12, 10 and 7? (a) 12 (b) 20 (c) 10 (d) 7
35. 35.What is the median of 32, 23, 27, 7 and 22? (a) 24 (b) 22 (c) 27 (d) 23
36. 36.What is the median of 29, 19, 38, 26, 28, 39 and 17? (a) 28 (b) 27 (c) 29 (d) 26
37. 37.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 28 (c) 27 (d) 29
38. 38.What is the mean of 20, 2, 18 and 4? (a) 13 (b) 10 (c) 11 (d) 12
39. 39.What is the median of 21, 14, 25, 1 and 5? (a) 25 (b) 21 (c) 5 (d) 14
40. 40.What is the median of 15, 37, 14, 7 and 31? (a) 14 (b) 31 (c) 16 (d) 15

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