Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 170 · 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 mean of 9, 2, 3 and 10? (a) 8 (b) 5 (c) 7 (d) 6
2. 2.What is the mode of 9, 9, 14, 17, 17, 10 and 17? (a) 9 (b) 17 (c) 10 (d) 14
3. 3.What is the mean of 19, 13, 19, 3, 5 and 19? (a) 15 (b) 13 (c) 14 (d) 12
4. 4.The mean of 5 numbers is 10. When the number 16 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 13
5. 5.What is the mean of 3, 17, 4 and 8? (a) 9 (b) 10 (c) 8 (d) 7
6. 6.What is the mean of 18, 19, 3, 7, 18 and 13? (a) 12 (b) 14 (c) 15 (d) 13
7. 7.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 16 (b) 15 (c) 13 (d) 14
8. 8.What is the mean of 16, 5, 16, 20, 6 and 21? (a) 14 (b) 13 (c) 15 (d) 12
9. 9.What is the mode of 3, 3, 8, 5, 20, 3 and 5? (a) 3 (b) 5 (c) 20 (d) 8
10. 10.The mean of 6 numbers is 36. When the number 64 is added to them, what is the new mean? (a) 36 (b) 50 (c) 41 (d) 40
11. 11.What is the mean of 17, 20, 17, 9, 12 and 15? (a) 14 (b) 15 (c) 18 (d) 16
12. 12.What is the median of 5, 35, 4, 19 and 13? (a) 5 (b) 13 (c) 4 (d) 19
13. 13.What is the median of 24, 25, 33, 8 and 30? (a) 30 (b) 33 (c) 25 (d) 24
14. 14.What is the mean of 9, 4, 10 and 17? (a) 10 (b) 11 (c) 9 (d) 8
15. 15.What is the mode of 10, 19, 19, 16, 2, 10 and 19? (a) 2 (b) 10 (c) 19 (d) 16
16. 16.What is the median of 38, 2, 18, 1, 11, 35 and 40? (a) 18 (b) 11 (c) 35 (d) 1
17. 17.What is the mean of 14, 9, 4 and 21? (a) 13 (b) 11 (c) 12 (d) 16
18. 18.What is the mean of 6, 8, 10, 9, 17 and 4? (a) 8 (b) 10 (c) 11 (d) 9
19. 19.What is the median of 12, 10, 6, 27, 18, 22 and 3? (a) 27 (b) 18 (c) 14 (d) 12
20. 20.What is the mean of 15, 5, 3, 4, 14 and 13? (a) 11 (b) 10 (c) 8 (d) 9
21. 21.What is the mean of 6, 19, 7, 4, 4 and 20? (a) 11 (b) 12 (c) 9 (d) 10
22. 22.What is the median of 10, 21, 40, 24 and 16? (a) 40 (b) 24 (c) 16 (d) 21
23. 23.What is the median of 24, 28, 40, 12 and 37? (a) 28 (b) 40 (c) 24 (d) 37
24. 24.What is the median of 22, 11, 18, 37 and 16? (a) 16 (b) 18 (c) 19 (d) 22
25. 25.The mean of 4 numbers is 26. When the number 6 is added to them, what is the new mean? (a) 26 (b) 22 (c) 23 (d) 16
26. 26.What is the median of 23, 15, 18, 9 and 34? (a) 23 (b) 15 (c) 19 (d) 18
27. 27.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 9
28. 28.What is the median of 6, 31, 22, 39, 19, 4 and 2? (a) 39 (b) 22 (c) 6 (d) 19
29. 29.What is the mode of 5, 1, 16, 1, 16, 1 and 8? (a) 8 (b) 5 (c) 16 (d) 1
30. 30.What is the mode of 3, 9, 9, 9, 8, 6 and 3? (a) 9 (b) 8 (c) 3 (d) 6
31. 31.What is the median of 39, 20, 3, 18 and 28? (a) 3 (b) 28 (c) 20 (d) 18
32. 32.What is the median of 27, 23, 34, 5, 20, 12 and 40? (a) 27 (b) 5 (c) 23 (d) 20
33. 33.The mean of 5 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 37 (b) 40 (c) 34 (d) 36
34. 34.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 35 (b) 40 (c) 38 (d) 39
35. 35.What is the mean of 12, 3, 3 and 14? (a) 8 (b) 10 (c) 7 (d) 9
36. 36.What is the median of 15, 35, 9, 39 and 28? (a) 35 (b) 28 (c) 9 (d) 15
37. 37.What is the median of 18, 38, 6, 23 and 10? (a) 6 (b) 23 (c) 18 (d) 19
38. 38.What is the mean of 13, 14, 12, 7, 4 and 16? (a) 12 (b) 10 (c) 11 (d) 13
39. 39.What is the mean of 10, 8, 4, 14 and 4? (a) 10 (b) 8 (c) 7 (d) 9
40. 40.What is the mode of 17, 9, 16, 16, 16, 1 and 1? (a) 9 (b) 1 (c) 16 (d) 17

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