Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 891 · 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 7 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 16 (b) 13 (c) 17 (d) 15
2. 2.What is the median of 20, 9, 15, 35 and 22? (a) 15 (b) 22 (c) 20 (d) 21
3. 3.What is the mean of 15, 8, 12, 18 and 22? (a) 16 (b) 17 (c) 14 (d) 15
4. 4.What is the mode of 11, 14, 8, 16, 16, 16 and 14? (a) 11 (b) 8 (c) 14 (d) 16
5. 5.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 47 (b) 38 (c) 41 (d) 40
6. 6.What is the mean of 9, 3, 19, 14 and 5? (a) 9 (b) 10 (c) 12 (d) 11
7. 7.What is the mean of 12, 7, 6 and 11? (a) 8 (b) 12 (c) 10 (d) 9
8. 8.What is the median of 38, 37, 1, 8 and 23? (a) 8 (b) 37 (c) 1 (d) 23
9. 9.The mean of 5 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 33 (b) 26 (c) 35 (d) 32
10. 10.What is the mean of 9, 18, 10, 3, 3 and 5? (a) 7 (b) 8 (c) 9 (d) 10
11. 11.What is the mode of 18, 18, 7, 18, 16, 15 and 16? (a) 15 (b) 18 (c) 16 (d) 7
12. 12.What is the mean of 13, 9, 12 and 10? (a) 13 (b) 10 (c) 12 (d) 11
13. 13.The mean of 8 numbers is 17. When the number 53 is added to them, what is the new mean? (a) 35 (b) 17 (c) 21 (d) 22
14. 14.What is the mean of 3, 3, 18 and 8? (a) 10 (b) 9 (c) 7 (d) 8
15. 15.The mean of 7 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 29 (b) 33 (c) 32 (d) 31
16. 16.What is the mean of 15, 9, 19, 3, 4 and 16? (a) 11 (b) 10 (c) 12 (d) 13
17. 17.What is the median of 37, 38, 11, 28, 31, 7 and 15? (a) 28 (b) 29 (c) 15 (d) 31
18. 18.What is the mode of 2, 5, 2, 4, 17, 2 and 4? (a) 5 (b) 17 (c) 4 (d) 2
19. 19.What is the mode of 9, 17, 18, 14, 17, 9 and 17? (a) 14 (b) 18 (c) 9 (d) 17
20. 20.What is the mean of 6, 19, 7, 14, 4 and 16? (a) 11 (b) 13 (c) 12 (d) 10
21. 21.What is the mode of 13, 11, 13, 1, 13, 6 and 1? (a) 1 (b) 6 (c) 13 (d) 11
22. 22.What is the median of 26, 3, 14, 19 and 1? (a) 15 (b) 19 (c) 14 (d) 3
23. 23.What is the median of 40, 4, 24, 19 and 8? (a) 20 (b) 24 (c) 8 (d) 19
24. 24.What is the mean of 12, 3, 20, 20 and 5? (a) 15 (b) 13 (c) 10 (d) 12
25. 25.What is the mean of 13, 17, 16 and 14? (a) 15 (b) 12 (c) 16 (d) 20
26. 26.What is the mode of 12, 4, 11, 1, 4, 11 and 11? (a) 12 (b) 1 (c) 4 (d) 11
27. 27.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 27 (c) 30 (d) 32
28. 28.What is the mean of 3, 4, 6 and 7? (a) 5 (b) 7 (c) 6 (d) 4
29. 29.The mean of 3 numbers is 27. When the number 23 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 25
30. 30.What is the median of 15, 6, 18, 17 and 19? (a) 18 (b) 17 (c) 15 (d) 16
31. 31.What is the mode of 9, 7, 7, 15, 15, 4 and 7? (a) 15 (b) 4 (c) 7 (d) 9
32. 32.What is the mode of 2, 2, 5, 19, 5, 7 and 2? (a) 7 (b) 19 (c) 5 (d) 2
33. 33.What is the median of 8, 25, 5, 10, 17, 9 and 27? (a) 9 (b) 17 (c) 10 (d) 11
34. 34.What is the mean of 4, 10, 2, 9 and 5? (a) 8 (b) 7 (c) 6 (d) 5
35. 35.What is the median of 1, 6, 35, 20 and 37? (a) 20 (b) 6 (c) 21 (d) 35
36. 36.What is the mode of 18, 3, 19, 11, 18, 18 and 3? (a) 3 (b) 18 (c) 19 (d) 11
37. 37.What is the mode of 1, 7, 7, 20, 11, 1 and 1? (a) 20 (b) 1 (c) 7 (d) 11
38. 38.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 35 (b) 40 (c) 39 (d) 43
39. 39.What is the median of 15, 27, 31, 17 and 29? (a) 17 (b) 31 (c) 27 (d) 29
40. 40.What is the median of 29, 32, 23, 35 and 10? (a) 23 (b) 32 (c) 30 (d) 29

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