Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 504 · 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.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 17 (b) 20 (c) 22 (d) 21
2. 2.What is the mode of 1, 14, 14, 15, 14, 15 and 11? (a) 15 (b) 1 (c) 14 (d) 11
3. 3.What is the median of 10, 40, 20, 31, 7, 4 and 16? (a) 10 (b) 31 (c) 16 (d) 20
4. 4.What is the mode of 15, 2, 3, 3, 4, 3 and 2? (a) 15 (b) 3 (c) 2 (d) 4
5. 5.What is the median of 3, 27, 11, 22, 33, 38 and 16? (a) 23 (b) 27 (c) 22 (d) 16
6. 6.The mean of 3 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 47 (b) 43 (c) 44 (d) 39
7. 7.What is the mode of 2, 14, 14, 17, 2, 19 and 2? (a) 2 (b) 17 (c) 19 (d) 14
8. 8.What is the mean of 6, 16, 4 and 10? (a) 9 (b) 10 (c) 8 (d) 12
9. 9.What is the mode of 1, 17, 10, 10, 17, 17 and 12? (a) 12 (b) 1 (c) 17 (d) 10
10. 10.The mean of 6 numbers is 37. When the number 23 is added to them, what is the new mean? (a) 37 (b) 30 (c) 36 (d) 35
11. 11.What is the median of 17, 32, 8, 13 and 28? (a) 13 (b) 8 (c) 17 (d) 28
12. 12.What is the mean of 12, 13, 10, 4 and 6? (a) 11 (b) 8 (c) 10 (d) 9
13. 13.What is the median of 2, 8, 5, 31 and 35? (a) 5 (b) 8 (c) 31 (d) 9
14. 14.The mean of 5 numbers is 37. When the number 31 is added to them, what is the new mean? (a) 34 (b) 36 (c) 35 (d) 37
15. 15.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 38 (b) 34 (c) 24 (d) 35
16. 16.What is the mean of 5, 13, 16, 3, 12 and 17? (a) 10 (b) 13 (c) 12 (d) 11
17. 17.What is the mode of 11, 11, 20, 13, 20, 9 and 11? (a) 13 (b) 11 (c) 20 (d) 9
18. 18.What is the median of 35, 10, 39, 26, 36, 33 and 34? (a) 33 (b) 34 (c) 35 (d) 26
19. 19.What is the mean of 7, 7, 10 and 12? (a) 10 (b) 12 (c) 8 (d) 9
20. 20.What is the median of 8, 18, 1, 30 and 15? (a) 8 (b) 18 (c) 1 (d) 15
21. 21.What is the mean of 11, 15, 18 and 8? (a) 14 (b) 15 (c) 13 (d) 12
22. 22.What is the mode of 13, 13, 9, 9, 4, 6 and 13? (a) 6 (b) 13 (c) 9 (d) 4
23. 23.What is the median of 18, 13, 23, 37, 24, 34 and 40? (a) 37 (b) 24 (c) 27 (d) 34
24. 24.What is the median of 17, 10, 7, 26 and 40? (a) 26 (b) 7 (c) 20 (d) 17
25. 25.What is the mode of 5, 7, 5, 20, 14, 5 and 20? (a) 20 (b) 5 (c) 7 (d) 14
26. 26.What is the median of 21, 28, 23, 2, 11, 27 and 39? (a) 23 (b) 2 (c) 27 (d) 21
27. 27.What is the mean of 17, 7, 3, 13, 3 and 11? (a) 8 (b) 10 (c) 11 (d) 9
28. 28.What is the median of 38, 14, 33, 29 and 1? (a) 14 (b) 23 (c) 29 (d) 33
29. 29.What is the median of 28, 13, 5, 22 and 21? (a) 21 (b) 22 (c) 5 (d) 13
30. 30.What is the median of 11, 34, 26, 29, 3, 7 and 19? (a) 29 (b) 26 (c) 19 (d) 11
31. 31.What is the mode of 10, 20, 10, 19, 6, 6 and 10? (a) 20 (b) 6 (c) 19 (d) 10
32. 32.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 14 (b) 11 (c) 12 (d) 13
33. 33.What is the median of 34, 23, 20, 4 and 7? (a) 20 (b) 21 (c) 7 (d) 23
34. 34.What is the mode of 11, 13, 11, 10, 13, 13 and 16? (a) 16 (b) 10 (c) 13 (d) 11
35. 35.What is the mean of 18, 19, 9, 6, 12 and 8? (a) 14 (b) 12 (c) 11 (d) 13
36. 36.What is the median of 18, 16, 32, 6, 28, 5 and 10? (a) 18 (b) 16 (c) 10 (d) 6
37. 37.What is the mode of 14, 14, 10, 14, 8, 8 and 6? (a) 8 (b) 10 (c) 6 (d) 14
38. 38.What is the mode of 5, 10, 4, 11, 5, 10 and 5? (a) 4 (b) 5 (c) 11 (d) 10
39. 39.What is the mean of 11, 3, 20, 20, 17 and 13? (a) 15 (b) 13 (c) 12 (d) 14
40. 40.The mean of 4 numbers is 11. When the number 16 is added to them, what is the new mean? (a) 12 (b) 11 (c) 14 (d) 13

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