Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 440 · 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 32, 26, 3, 39, 33, 17 and 11? (a) 26 (b) 32 (c) 23 (d) 39
2. 2.What is the mode of 7, 18, 12, 18, 12, 18 and 20? (a) 18 (b) 12 (c) 7 (d) 20
3. 3.The mean of 5 numbers is 33. When the number 15 is added to them, what is the new mean? (a) 33 (b) 24 (c) 31 (d) 30
4. 4.What is the mode of 16, 12, 16, 12, 16, 8 and 2? (a) 16 (b) 12 (c) 8 (d) 2
5. 5.What is the mode of 10, 11, 20, 2, 2, 11 and 2? (a) 11 (b) 10 (c) 20 (d) 2
6. 6.What is the mean of 4, 12, 2 and 6? (a) 7 (b) 8 (c) 5 (d) 6
7. 7.What is the mode of 5, 11, 10, 4, 5, 10 and 10? (a) 5 (b) 4 (c) 10 (d) 11
8. 8.What is the mode of 6, 19, 20, 16, 19, 16 and 16? (a) 16 (b) 19 (c) 20 (d) 6
9. 9.What is the mean of 3, 20, 3, 15, 3 and 10? (a) 8 (b) 11 (c) 9 (d) 10
10. 10.What is the mode of 13, 16, 9, 16, 13, 6 and 16? (a) 9 (b) 16 (c) 6 (d) 13
11. 11.What is the median of 5, 23, 22, 12, 13, 11 and 40? (a) 13 (b) 22 (c) 12 (d) 18
12. 12.What is the mode of 13, 8, 9, 1, 9, 1 and 9? (a) 9 (b) 13 (c) 8 (d) 1
13. 13.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 23 (b) 24 (c) 29 (d) 21
14. 14.What is the mean of 12, 11, 15, 2, 5 and 3? (a) 10 (b) 9 (c) 7 (d) 8
15. 15.What is the mode of 8, 15, 8, 15, 10, 16 and 15? (a) 8 (b) 16 (c) 15 (d) 10
16. 16.What is the mode of 13, 13, 17, 4, 19, 4 and 4? (a) 4 (b) 19 (c) 17 (d) 13
17. 17.The mean of 8 numbers is 14. When the number 5 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 13
18. 18.The mean of 3 numbers is 23. When the number 27 is added to them, what is the new mean? (a) 23 (b) 25 (c) 26 (d) 24
19. 19.What is the mean of 5, 14, 15 and 18? (a) 12 (b) 14 (c) 13 (d) 15
20. 20.What is the median of 33, 11, 36, 27, 25, 28 and 20? (a) 26 (b) 28 (c) 25 (d) 27
21. 21.What is the mode of 6, 7, 14, 16, 16, 6 and 16? (a) 16 (b) 14 (c) 6 (d) 7
22. 22.What is the median of 11, 37, 39, 8 and 35? (a) 39 (b) 37 (c) 35 (d) 26
23. 23.The mean of 3 numbers is 40. When the number 52 is added to them, what is the new mean? (a) 40 (b) 43 (c) 44 (d) 46
24. 24.What is the mode of 4, 4, 3, 3, 13, 4 and 2? (a) 13 (b) 4 (c) 3 (d) 2
25. 25.What is the median of 26, 18, 5, 17 and 29? (a) 19 (b) 26 (c) 18 (d) 5
26. 26.What is the mode of 14, 11, 11, 2, 14, 14 and 13? (a) 14 (b) 11 (c) 13 (d) 2
27. 27.What is the mean of 6, 4, 13, 16 and 6? (a) 8 (b) 11 (c) 10 (d) 9
28. 28.What is the median of 39, 23, 35, 1 and 8? (a) 35 (b) 24 (c) 8 (d) 23
29. 29.What is the mode of 18, 8, 11, 11, 14, 14 and 14? (a) 14 (b) 11 (c) 18 (d) 8
30. 30.The mean of 4 numbers is 24. When the number 9 is added to them, what is the new mean? (a) 20 (b) 24 (c) 21 (d) 22
31. 31.What is the median of 24, 10, 29, 35, 34, 20 and 36? (a) 24 (b) 34 (c) 29 (d) 35
32. 32.What is the mode of 18, 5, 5, 18, 4, 19 and 5? (a) 19 (b) 5 (c) 18 (d) 4
33. 33.What is the mean of 7, 16, 10 and 19? (a) 14 (b) 12 (c) 15 (d) 13
34. 34.What is the median of 6, 18, 15, 33, 32, 5 and 30? (a) 15 (b) 30 (c) 33 (d) 18
35. 35.What is the mean of 15, 14, 14 and 13? (a) 13 (b) 15 (c) 16 (d) 14
36. 36.What is the mode of 12, 12, 20, 5, 20, 10 and 12? (a) 12 (b) 20 (c) 5 (d) 10
37. 37.What is the mode of 3, 13, 10, 2, 10, 2 and 10? (a) 3 (b) 10 (c) 2 (d) 13
38. 38.What is the mode of 5, 18, 10, 10, 5, 14 and 5? (a) 10 (b) 18 (c) 14 (d) 5
39. 39.What is the mean of 13, 19, 6, 10, 18 and 12? (a) 14 (b) 13 (c) 15 (d) 12
40. 40.What is the median of 8, 28, 29, 17 and 34? (a) 17 (b) 29 (c) 28 (d) 27

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