Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 285 · 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 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 34 (b) 35 (c) 37 (d) 31
2. 2.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 13
3. 3.What is the mode of 10, 15, 14, 5, 5, 5 and 15? (a) 10 (b) 15 (c) 5 (d) 14
4. 4.What is the mean of 10, 13, 20 and 5? (a) 13 (b) 11 (c) 12 (d) 16
5. 5.What is the mean of 10, 4, 15 and 7? (a) 9 (b) 12 (c) 10 (d) 8
6. 6.What is the mean of 4, 20, 15, 2 and 9? (a) 12 (b) 11 (c) 10 (d) 9
7. 7.The mean of 3 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 11 (b) 13 (c) 15 (d) 14
8. 8.What is the mean of 3, 3, 19 and 19? (a) 10 (b) 11 (c) 12 (d) 13
9. 9.What is the mode of 4, 10, 15, 8, 8, 10 and 10? (a) 8 (b) 4 (c) 15 (d) 10
10. 10.What is the mean of 17, 6, 19, 9 and 14? (a) 14 (b) 15 (c) 13 (d) 12
11. 11.What is the median of 11, 20, 15, 23, 30, 4 and 25? (a) 23 (b) 20 (c) 15 (d) 21
12. 12.What is the median of 40, 8, 6, 21, 7, 29 and 18? (a) 18 (b) 8 (c) 21 (d) 19
13. 13.The mean of 7 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 35 (b) 36 (c) 34 (d) 32
14. 14.What is the median of 16, 8, 30, 11 and 28? (a) 30 (b) 28 (c) 11 (d) 16
15. 15.What is the mean of 17, 6, 14 and 23? (a) 20 (b) 16 (c) 12 (d) 15
16. 16.What is the mode of 4, 18, 15, 15, 18, 17 and 15? (a) 4 (b) 17 (c) 18 (d) 15
17. 17.What is the mode of 12, 1, 1, 2, 2, 9 and 2? (a) 2 (b) 12 (c) 9 (d) 1
18. 18.What is the mode of 13, 2, 2, 13, 20, 16 and 13? (a) 2 (b) 16 (c) 13 (d) 20
19. 19.What is the mode of 14, 1, 3, 18, 18, 1 and 1? (a) 3 (b) 18 (c) 14 (d) 1
20. 20.What is the median of 27, 14, 31, 10, 1, 39 and 36? (a) 10 (b) 31 (c) 14 (d) 27
21. 21.What is the median of 22, 35, 27, 15 and 28? (a) 22 (b) 28 (c) 26 (d) 27
22. 22.What is the mode of 9, 18, 11, 18, 9, 17 and 18? (a) 17 (b) 18 (c) 9 (d) 11
23. 23.What is the mean of 13, 14, 8 and 13? (a) 12 (b) 11 (c) 13 (d) 16
24. 24.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
25. 25.What is the mean of 11, 19, 16 and 18? (a) 18 (b) 16 (c) 15 (d) 17
26. 26.What is the mean of 15, 16, 8, 7, 12 and 8? (a) 13 (b) 12 (c) 11 (d) 10
27. 27.What is the mean of 2, 12, 3, 18, 3 and 10? (a) 7 (b) 10 (c) 8 (d) 9
28. 28.What is the median of 23, 22, 16, 13 and 20? (a) 20 (b) 21 (c) 16 (d) 22
29. 29.What is the mode of 15, 14, 5, 5, 15, 9 and 5? (a) 14 (b) 9 (c) 5 (d) 15
30. 30.The mean of 6 numbers is 26. When the number 47 is added to them, what is the new mean? (a) 28 (b) 30 (c) 26 (d) 29
31. 31.What is the mean of 13, 15, 10 and 6? (a) 11 (b) 12 (c) 10 (d) 13
32. 32.What is the mean of 20, 17, 8 and 3? (a) 16 (b) 11 (c) 12 (d) 13
33. 33.What is the median of 9, 8, 26, 14 and 30? (a) 9 (b) 15 (c) 14 (d) 26
34. 34.What is the mean of 19, 17, 9 and 3? (a) 12 (b) 16 (c) 11 (d) 13
35. 35.What is the median of 22, 3, 12, 23 and 25? (a) 23 (b) 22 (c) 12 (d) 17
36. 36.What is the mean of 12, 19, 12, 8 and 9? (a) 15 (b) 10 (c) 12 (d) 13
37. 37.What is the mean of 3, 3, 7, 5 and 17? (a) 9 (b) 8 (c) 7 (d) 6
38. 38.What is the mode of 17, 17, 9, 8, 17, 6 and 8? (a) 8 (b) 6 (c) 17 (d) 9
39. 39.What is the median of 21, 8, 1, 14 and 37? (a) 1 (b) 14 (c) 21 (d) 8
40. 40.What is the mean of 15, 16, 4, 20 and 10? (a) 12 (b) 13 (c) 14 (d) 15

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