Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 842 · 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 13, 16, 17 and 18? (a) 15 (b) 16 (c) 18 (d) 17
2. 2.What is the mode of 1, 19, 7, 10, 1, 1 and 7? (a) 7 (b) 10 (c) 1 (d) 19
3. 3.What is the mode of 5, 16, 17, 1, 5, 5 and 1? (a) 16 (b) 17 (c) 1 (d) 5
4. 4.What is the mean of 15, 16, 2 and 3? (a) 8 (b) 12 (c) 10 (d) 9
5. 5.What is the mode of 8, 9, 7, 9, 20, 9 and 7? (a) 8 (b) 20 (c) 9 (d) 7
6. 6.What is the mode of 10, 3, 16, 16, 16, 14 and 3? (a) 16 (b) 14 (c) 3 (d) 10
7. 7.What is the mean of 10, 4, 19 and 15? (a) 11 (b) 13 (c) 16 (d) 12
8. 8.What is the mode of 2, 2, 6, 12, 6, 6 and 9? (a) 2 (b) 6 (c) 12 (d) 9
9. 9.What is the mean of 12, 8, 18, 20 and 12? (a) 15 (b) 13 (c) 14 (d) 16
10. 10.What is the median of 7, 17, 14, 29 and 30? (a) 29 (b) 17 (c) 18 (d) 14
11. 11.What is the mean of 18, 4, 2 and 16? (a) 10 (b) 11 (c) 8 (d) 9
12. 12.What is the median of 25, 26, 12, 38, 17, 1 and 22? (a) 22 (b) 17 (c) 25 (d) 38
13. 13.What is the median of 15, 33, 24, 21 and 5? (a) 24 (b) 15 (c) 21 (d) 22
14. 14.What is the median of 12, 21, 14, 18, 24, 40 and 17? (a) 19 (b) 17 (c) 18 (d) 21
15. 15.What is the mode of 18, 18, 11, 7, 11, 18 and 5? (a) 7 (b) 18 (c) 11 (d) 5
16. 16.What is the mode of 8, 8, 14, 14, 14, 16 and 9? (a) 8 (b) 16 (c) 14 (d) 9
17. 17.What is the median of 8, 10, 14, 17, 36, 26 and 20? (a) 14 (b) 20 (c) 18 (d) 17
18. 18.What is the median of 15, 1, 13, 14, 33, 2 and 17? (a) 15 (b) 14 (c) 16 (d) 13
19. 19.The mean of 3 numbers is 30. When the number 26 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 31
20. 20.What is the median of 21, 16, 29, 1 and 26? (a) 26 (b) 16 (c) 29 (d) 21
21. 21.What is the mode of 16, 1, 14, 1, 16, 1 and 5? (a) 14 (b) 1 (c) 16 (d) 5
22. 22.What is the mode of 20, 4, 17, 17, 4, 14 and 17? (a) 20 (b) 17 (c) 14 (d) 4
23. 23.What is the mode of 11, 17, 11, 3, 2, 2 and 11? (a) 17 (b) 11 (c) 2 (d) 3
24. 24.What is the mean of 4, 19, 7 and 14? (a) 11 (b) 13 (c) 12 (d) 10
25. 25.What is the mean of 11, 4, 4, 6, 3 and 8? (a) 6 (b) 7 (c) 5 (d) 8
26. 26.What is the median of 29, 7, 13, 15 and 14? (a) 15 (b) 14 (c) 16 (d) 13
27. 27.The mean of 8 numbers is 37. When the number 28 is added to them, what is the new mean? (a) 38 (b) 36 (c) 35 (d) 37
28. 28.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 12 (b) 11 (c) 14 (d) 13
29. 29.What is the median of 24, 35, 22, 19 and 1? (a) 22 (b) 23 (c) 24 (d) 19
30. 30.The mean of 4 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 36 (b) 34 (c) 37 (d) 39
31. 31.What is the median of 1, 26, 3, 31 and 34? (a) 3 (b) 19 (c) 26 (d) 31
32. 32.The mean of 9 numbers is 17. When the number 37 is added to them, what is the new mean? (a) 27 (b) 20 (c) 17 (d) 19
33. 33.What is the mode of 5, 16, 19, 5, 3, 3 and 5? (a) 19 (b) 3 (c) 16 (d) 5
34. 34.What is the mean of 9, 18, 16 and 9? (a) 15 (b) 12 (c) 14 (d) 13
35. 35.What is the mean of 14, 20, 4, 8, 17 and 15? (a) 13 (b) 14 (c) 12 (d) 15
36. 36.What is the mean of 9, 13, 12, 17 and 14? (a) 14 (b) 13 (c) 12 (d) 15
37. 37.What is the mode of 13, 11, 18, 17, 17, 13 and 13? (a) 18 (b) 11 (c) 13 (d) 17
38. 38.What is the mode of 11, 11, 2, 20, 9, 20 and 20? (a) 20 (b) 9 (c) 2 (d) 11
39. 39.What is the mode of 1, 15, 9, 6, 1, 15 and 15? (a) 9 (b) 15 (c) 6 (d) 1
40. 40.What is the mode of 12, 11, 15, 15, 18, 15 and 11? (a) 18 (b) 15 (c) 12 (d) 11

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