Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 157 · 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 27, 8, 6, 31 and 24? (a) 27 (b) 6 (c) 24 (d) 8
2. 2.What is the median of 1, 37, 26, 11, 10, 15 and 7? (a) 11 (b) 15 (c) 10 (d) 12
3. 3.What is the median of 33, 28, 35, 9 and 1? (a) 28 (b) 33 (c) 9 (d) 35
4. 4.What is the mode of 18, 17, 2, 18, 17, 11 and 18? (a) 2 (b) 17 (c) 11 (d) 18
5. 5.What is the mode of 18, 1, 20, 13, 18, 1 and 18? (a) 1 (b) 20 (c) 13 (d) 18
6. 6.What is the mean of 20, 16, 16, 18, 7 and 7? (a) 13 (b) 15 (c) 14 (d) 12
7. 7.What is the mean of 5, 8, 10 and 21? (a) 13 (b) 11 (c) 12 (d) 10
8. 8.What is the mode of 3, 20, 6, 20, 3, 3 and 16? (a) 3 (b) 20 (c) 6 (d) 16
9. 9.What is the median of 39, 40, 36, 5 and 20? (a) 36 (b) 39 (c) 28 (d) 20
10. 10.What is the mean of 19, 15, 2 and 4? (a) 11 (b) 8 (c) 9 (d) 10
11. 11.The mean of 4 numbers is 20. When the number 30 is added to them, what is the new mean? (a) 23 (b) 22 (c) 20 (d) 25
12. 12.What is the mean of 19, 4, 7 and 10? (a) 11 (b) 8 (c) 9 (d) 10
13. 13.What is the mode of 2, 2, 2, 19, 4, 19 and 5? (a) 2 (b) 19 (c) 5 (d) 4
14. 14.What is the median of 18, 2, 26, 3 and 36? (a) 18 (b) 26 (c) 17 (d) 3
15. 15.The mean of 4 numbers is 23. When the number 8 is added to them, what is the new mean? (a) 23 (b) 19 (c) 20 (d) 21
16. 16.What is the median of 6, 38, 17, 32, 9, 30 and 1? (a) 19 (b) 17 (c) 30 (d) 32
17. 17.The mean of 8 numbers is 20. When the number 56 is added to them, what is the new mean? (a) 25 (b) 38 (c) 24 (d) 20
18. 18.What is the mean of 15, 13, 3, 20 and 19? (a) 13 (b) 15 (c) 14 (d) 16
19. 19.What is the median of 9, 33, 26, 13 and 30? (a) 30 (b) 27 (c) 13 (d) 26
20. 20.The mean of 6 numbers is 28. When the number 49 is added to them, what is the new mean? (a) 31 (b) 28 (c) 32 (d) 30
21. 21.What is the mean of 4, 14, 20, 8, 16 and 16? (a) 15 (b) 13 (c) 12 (d) 14
22. 22.The mean of 9 numbers is 23. When the number 33 is added to them, what is the new mean? (a) 28 (b) 24 (c) 25 (d) 23
23. 23.What is the mean of 13, 20, 12, 16 and 4? (a) 15 (b) 13 (c) 12 (d) 14
24. 24.The mean of 9 numbers is 28. When the number 58 is added to them, what is the new mean? (a) 28 (b) 31 (c) 43 (d) 32
25. 25.The mean of 6 numbers is 23. When the number 2 is added to them, what is the new mean? (a) 23 (b) 20 (c) 21 (d) 19
26. 26.What is the mode of 14, 7, 4, 1, 14, 14 and 4? (a) 1 (b) 14 (c) 7 (d) 4
27. 27.The mean of 3 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 33 (b) 36 (c) 28 (d) 32
28. 28.What is the mean of 11, 19, 12 and 22? (a) 16 (b) 15 (c) 18 (d) 17
29. 29.What is the mean of 13, 20, 3 and 20? (a) 14 (b) 13 (c) 16 (d) 15
30. 30.What is the median of 10, 22, 25, 12 and 31? (a) 22 (b) 20 (c) 25 (d) 12
31. 31.What is the median of 12, 32, 6, 35, 33, 9 and 28? (a) 35 (b) 28 (c) 12 (d) 32
32. 32.What is the mean of 4, 12, 18, 14 and 12? (a) 13 (b) 15 (c) 12 (d) 10
33. 33.What is the mode of 15, 15, 4, 1, 8, 1 and 15? (a) 4 (b) 1 (c) 8 (d) 15
34. 34.What is the median of 24, 29, 33, 16 and 25? (a) 29 (b) 24 (c) 33 (d) 25
35. 35.What is the mean of 10, 11, 20 and 15? (a) 13 (b) 16 (c) 14 (d) 15
36. 36.What is the mean of 4, 4, 2 and 6? (a) 6 (b) 5 (c) 3 (d) 4
37. 37.The mean of 5 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 12 (b) 16 (c) 24 (d) 17
38. 38.What is the median of 37, 31, 28, 38 and 12? (a) 28 (b) 37 (c) 32 (d) 31
39. 39.What is the mode of 14, 12, 12, 2, 14, 12 and 6? (a) 2 (b) 14 (c) 12 (d) 6
40. 40.The mean of 9 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 19 (b) 23 (c) 20 (d) 18

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