Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 834 · 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 17, 9, 13, 8 and 13? (a) 10 (b) 13 (c) 12 (d) 15
2. 2.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 32 (b) 35 (c) 36 (d) 34
3. 3.What is the mean of 16, 11, 9, 10 and 9? (a) 11 (b) 10 (c) 13 (d) 12
4. 4.What is the median of 35, 1, 12, 26, 31, 7 and 22? (a) 26 (b) 12 (c) 22 (d) 23
5. 5.What is the mode of 1, 13, 7, 13, 13, 10 and 1? (a) 13 (b) 1 (c) 10 (d) 7
6. 6.What is the mean of 16, 13, 13, 11, 14 and 17? (a) 12 (b) 13 (c) 15 (d) 14
7. 7.What is the median of 25, 19, 37, 8 and 3? (a) 37 (b) 19 (c) 8 (d) 25
8. 8.The mean of 6 numbers is 38. When the number 52 is added to them, what is the new mean? (a) 38 (b) 45 (c) 40 (d) 41
9. 9.What is the mode of 6, 13, 1, 5, 5, 13 and 5? (a) 1 (b) 6 (c) 13 (d) 5
10. 10.What is the median of 19, 5, 21, 14 and 3? (a) 14 (b) 21 (c) 19 (d) 5
11. 11.What is the mean of 18, 2, 13 and 15? (a) 16 (b) 11 (c) 12 (d) 13
12. 12.What is the mean of 17, 13, 10 and 4? (a) 10 (b) 12 (c) 13 (d) 11
13. 13.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 11 (b) 10 (c) 12 (d) 7
14. 14.What is the mean of 12, 5, 14, 4 and 15? (a) 11 (b) 10 (c) 9 (d) 12
15. 15.What is the median of 34, 22, 20, 9, 10, 24 and 35? (a) 9 (b) 20 (c) 22 (d) 24
16. 16.What is the median of 24, 9, 27, 40 and 3? (a) 9 (b) 24 (c) 27 (d) 25
17. 17.What is the mode of 20, 1, 6, 6, 20, 17 and 6? (a) 1 (b) 20 (c) 17 (d) 6
18. 18.The mean of 7 numbers is 32. When the number 40 is added to them, what is the new mean? (a) 32 (b) 33 (c) 36 (d) 34
19. 19.What is the median of 16, 13, 30, 35, 2, 7 and 3? (a) 35 (b) 7 (c) 16 (d) 13
20. 20.What is the mode of 7, 4, 17, 17, 2, 17 and 4? (a) 2 (b) 17 (c) 7 (d) 4
21. 21.The mean of 8 numbers is 40. When the number 31 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 41
22. 22.What is the median of 18, 25, 26, 21 and 19? (a) 19 (b) 25 (c) 26 (d) 21
23. 23.What is the median of 33, 27, 5, 19, 3, 38 and 24? (a) 25 (b) 24 (c) 19 (d) 27
24. 24.What is the mean of 9, 11, 16 and 16? (a) 13 (b) 14 (c) 12 (d) 15
25. 25.What is the mean of 9, 17, 15 and 19? (a) 20 (b) 15 (c) 16 (d) 12
26. 26.The mean of 4 numbers is 36. When the number 21 is added to them, what is the new mean? (a) 36 (b) 33 (c) 34 (d) 32
27. 27.What is the mode of 3, 11, 3, 19, 11, 3 and 10? (a) 11 (b) 10 (c) 3 (d) 19
28. 28.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 15 (b) 17 (c) 12 (d) 16
29. 29.What is the median of 8, 25, 31, 9, 30, 38 and 35? (a) 30 (b) 9 (c) 31 (d) 25
30. 30.What is the median of 25, 3, 32, 16 and 27? (a) 16 (b) 32 (c) 27 (d) 25
31. 31.What is the mean of 10, 10, 18 and 2? (a) 10 (b) 8 (c) 9 (d) 11
32. 32.What is the mean of 9, 7, 5, 9 and 10? (a) 7 (b) 8 (c) 9 (d) 10
33. 33.What is the median of 18, 7, 12, 34 and 13? (a) 12 (b) 14 (c) 13 (d) 18
34. 34.What is the median of 17, 16, 38, 22, 7, 1 and 29? (a) 18 (b) 16 (c) 17 (d) 22
35. 35.What is the mean of 6, 14, 8 and 16? (a) 10 (b) 13 (c) 11 (d) 12
36. 36.The mean of 3 numbers is 37. When the number 33 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 35
37. 37.What is the median of 16, 39, 31, 5, 9, 36 and 1? (a) 31 (b) 9 (c) 5 (d) 16
38. 38.What is the mean of 6, 6, 16, 13, 5 and 20? (a) 10 (b) 12 (c) 13 (d) 11
39. 39.What is the median of 7, 30, 25, 20, 9, 31 and 38? (a) 20 (b) 26 (c) 30 (d) 25
40. 40.What is the mean of 19, 7, 17 and 9? (a) 12 (b) 14 (c) 15 (d) 13

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