Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 493 · 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 28, 40, 11, 39 and 33? (a) 39 (b) 33 (c) 28 (d) 11
2. 2.The mean of 8 numbers is 23. When the number 32 is added to them, what is the new mean? (a) 25 (b) 26 (c) 23 (d) 24
3. 3.What is the mean of 13, 4, 3 and 8? (a) 9 (b) 6 (c) 8 (d) 7
4. 4.What is the median of 3, 25, 11, 21 and 15? (a) 16 (b) 21 (c) 11 (d) 15
5. 5.What is the mean of 11, 5, 4, 9, 6 and 13? (a) 7 (b) 8 (c) 10 (d) 9
6. 6.What is the mode of 3, 9, 9, 9, 5, 4 and 5? (a) 9 (b) 4 (c) 3 (d) 5
7. 7.What is the median of 16, 29, 34, 22, 11, 2 and 38? (a) 29 (b) 22 (c) 16 (d) 23
8. 8.What is the median of 10, 35, 11, 40, 5, 25 and 7? (a) 11 (b) 19 (c) 40 (d) 25
9. 9.What is the mode of 13, 20, 1, 20, 20, 13 and 17? (a) 13 (b) 17 (c) 1 (d) 20
10. 10.What is the median of 5, 28, 30, 18 and 33? (a) 30 (b) 18 (c) 29 (d) 28
11. 11.What is the median of 35, 10, 15, 27, 1, 34 and 28? (a) 28 (b) 27 (c) 26 (d) 15
12. 12.What is the median of 15, 11, 10, 24 and 8? (a) 12 (b) 10 (c) 11 (d) 15
13. 13.What is the median of 33, 31, 27, 29 and 14? (a) 27 (b) 31 (c) 29 (d) 30
14. 14.What is the mean of 4, 6, 5, 17 and 18? (a) 11 (b) 12 (c) 10 (d) 9
15. 15.What is the mode of 6, 17, 6, 6, 10, 10 and 20? (a) 6 (b) 10 (c) 20 (d) 17
16. 16.What is the mean of 9, 4, 5, 5 and 17? (a) 7 (b) 8 (c) 9 (d) 10
17. 17.What is the mode of 17, 17, 3, 3, 17, 7 and 15? (a) 17 (b) 3 (c) 7 (d) 15
18. 18.What is the mean of 20, 9, 17, 8, 6 and 12? (a) 12 (b) 13 (c) 14 (d) 11
19. 19.What is the mode of 4, 13, 7, 11, 4, 11 and 11? (a) 7 (b) 11 (c) 13 (d) 4
20. 20.What is the mean of 3, 11, 4, 10 and 7? (a) 8 (b) 6 (c) 7 (d) 9
21. 21.What is the median of 5, 1, 13, 11 and 10? (a) 8 (b) 11 (c) 13 (d) 10
22. 22.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 27 (b) 29 (c) 35 (d) 30
23. 23.What is the median of 13, 19, 35, 9 and 38? (a) 13 (b) 20 (c) 19 (d) 35
24. 24.What is the mode of 6, 15, 5, 15, 5, 18 and 5? (a) 15 (b) 18 (c) 5 (d) 6
25. 25.What is the mean of 13, 20, 4 and 23? (a) 12 (b) 16 (c) 20 (d) 15
26. 26.What is the median of 16, 5, 20, 23 and 10? (a) 10 (b) 20 (c) 16 (d) 17
27. 27.What is the mode of 6, 4, 6, 5, 9, 5 and 6? (a) 4 (b) 9 (c) 6 (d) 5
28. 28.The mean of 6 numbers is 35. When the number 21 is added to them, what is the new mean? (a) 33 (b) 35 (c) 28 (d) 34
29. 29.What is the median of 19, 2, 26, 17 and 11? (a) 19 (b) 15 (c) 26 (d) 17
30. 30.The mean of 3 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 43 (b) 44 (c) 40 (d) 46
31. 31.The mean of 3 numbers is 34. When the number 22 is added to them, what is the new mean? (a) 32 (b) 34 (c) 28 (d) 31
32. 32.What is the mode of 15, 10, 10, 10, 16, 16 and 1? (a) 15 (b) 10 (c) 1 (d) 16
33. 33.What is the mode of 2, 9, 5, 20, 2, 20 and 2? (a) 9 (b) 20 (c) 2 (d) 5
34. 34.What is the median of 2, 23, 29, 1, 13, 11 and 17? (a) 11 (b) 13 (c) 17 (d) 1
35. 35.The mean of 6 numbers is 17. When the number 38 is added to them, what is the new mean? (a) 21 (b) 17 (c) 20 (d) 19
36. 36.What is the mean of 18, 6, 6, 9 and 6? (a) 9 (b) 11 (c) 8 (d) 10
37. 37.What is the median of 22, 25, 4, 35 and 27? (a) 27 (b) 4 (c) 22 (d) 25
38. 38.The mean of 4 numbers is 28. When the number 8 is added to them, what is the new mean? (a) 28 (b) 24 (c) 18 (d) 25
39. 39.What is the mean of 3, 10, 3 and 8? (a) 8 (b) 7 (c) 5 (d) 6
40. 40.What is the median of 16, 19, 6, 24, 14, 32 and 13? (a) 19 (b) 24 (c) 14 (d) 16

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