Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 304 · 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 mode of 13, 4, 5, 4, 13, 2 and 13? (a) 2 (b) 13 (c) 4 (d) 5
2. 2.What is the mean of 11, 17, 8, 4, 19 and 19? (a) 14 (b) 15 (c) 12 (d) 13
3. 3.What is the mean of 14, 11, 2, 12, 7 and 8? (a) 8 (b) 11 (c) 9 (d) 10
4. 4.What is the mode of 14, 9, 17, 14, 5, 5 and 5? (a) 17 (b) 14 (c) 9 (d) 5
5. 5.What is the median of 6, 11, 34, 1 and 27? (a) 34 (b) 6 (c) 27 (d) 11
6. 6.What is the mode of 4, 4, 6, 16, 9, 9 and 9? (a) 6 (b) 4 (c) 16 (d) 9
7. 7.What is the mode of 1, 1, 3, 1, 18, 3 and 20? (a) 20 (b) 3 (c) 18 (d) 1
8. 8.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 12 (b) 11 (c) 13 (d) 14
9. 9.What is the mode of 12, 8, 15, 8, 3, 8 and 15? (a) 12 (b) 8 (c) 3 (d) 15
10. 10.What is the mean of 13, 15, 2 and 10? (a) 11 (b) 9 (c) 8 (d) 10
11. 11.What is the mode of 10, 11, 13, 11, 13, 13 and 16? (a) 11 (b) 13 (c) 16 (d) 10
12. 12.What is the mode of 9, 16, 16, 18, 18, 18 and 10? (a) 18 (b) 9 (c) 16 (d) 10
13. 13.The mean of 9 numbers is 11. When the number 41 is added to them, what is the new mean? (a) 14 (b) 15 (c) 26 (d) 11
14. 14.What is the mean of 2, 18, 2, 11 and 12? (a) 11 (b) 9 (c) 8 (d) 10
15. 15.What is the mean of 10, 5, 20, 14, 11 and 6? (a) 10 (b) 11 (c) 12 (d) 13
16. 16.What is the mode of 1, 2, 3, 14, 14, 2 and 2? (a) 1 (b) 3 (c) 14 (d) 2
17. 17.What is the median of 36, 2, 19, 27 and 21? (a) 27 (b) 22 (c) 19 (d) 21
18. 18.What is the mean of 5, 17, 18, 15, 3 and 8? (a) 10 (b) 13 (c) 12 (d) 11
19. 19.The mean of 4 numbers is 32. When the number 47 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 32
20. 20.The mean of 7 numbers is 27. When the number 19 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 25
21. 21.What is the median of 14, 8, 7, 20 and 40? (a) 8 (b) 20 (c) 7 (d) 14
22. 22.What is the mean of 3, 18, 11 and 12? (a) 12 (b) 11 (c) 13 (d) 10
23. 23.What is the mode of 16, 16, 4, 4, 16, 5 and 7? (a) 5 (b) 7 (c) 16 (d) 4
24. 24.What is the median of 7, 4, 26, 19 and 14? (a) 7 (b) 26 (c) 19 (d) 14
25. 25.The mean of 8 numbers is 34. When the number 7 is added to them, what is the new mean? (a) 32 (b) 30 (c) 34 (d) 31
26. 26.What is the mode of 20, 15, 8, 20, 15, 10 and 20? (a) 10 (b) 8 (c) 20 (d) 15
27. 27.What is the mean of 5, 20, 5 and 10? (a) 8 (b) 10 (c) 9 (d) 11
28. 28.What is the mode of 8, 12, 12, 14, 2, 14 and 12? (a) 12 (b) 14 (c) 8 (d) 2
29. 29.What is the mean of 18, 20, 18 and 16? (a) 19 (b) 24 (c) 18 (d) 17
30. 30.The mean of 8 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 41 (b) 39 (c) 48 (d) 42
31. 31.What is the mean of 5, 2, 9, 3, 10 and 25? (a) 10 (b) 8 (c) 9 (d) 11
32. 32.What is the mode of 2, 9, 9, 11, 11, 11 and 8? (a) 8 (b) 11 (c) 9 (d) 2
33. 33.What is the median of 14, 35, 37, 17 and 11? (a) 35 (b) 37 (c) 14 (d) 17
34. 34.What is the mode of 13, 10, 3, 10, 13, 18 and 10? (a) 3 (b) 10 (c) 13 (d) 18
35. 35.What is the mode of 7, 18, 7, 6, 6, 7 and 13? (a) 6 (b) 13 (c) 7 (d) 18
36. 36.What is the median of 8, 39, 22, 33 and 23? (a) 22 (b) 25 (c) 23 (d) 33
37. 37.What is the median of 40, 34, 30, 6 and 25? (a) 25 (b) 27 (c) 34 (d) 30
38. 38.What is the mean of 3, 6, 18, 20, 15 and 10? (a) 14 (b) 13 (c) 11 (d) 12
39. 39.The mean of 6 numbers is 12. When the number 40 is added to them, what is the new mean? (a) 12 (b) 16 (c) 26 (d) 17
40. 40.What is the mode of 11, 11, 18, 6, 6, 11 and 20? (a) 6 (b) 18 (c) 20 (d) 11

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