Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 647 · 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 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 26 (b) 20 (c) 17 (d) 19
2. 2.The mean of 3 numbers is 32. When the number 28 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 33
3. 3.What is the median of 25, 26, 35, 7, 4, 29 and 20? (a) 20 (b) 7 (c) 26 (d) 25
4. 4.What is the mean of 20, 8, 16 and 12? (a) 14 (b) 16 (c) 13 (d) 15
5. 5.What is the mean of 15, 7, 13, 16, 19 and 20? (a) 18 (b) 14 (c) 16 (d) 15
6. 6.What is the mean of 17, 2, 19, 9, 15 and 16? (a) 15 (b) 14 (c) 13 (d) 12
7. 7.What is the mean of 19, 19, 16 and 6? (a) 15 (b) 20 (c) 12 (d) 16
8. 8.What is the mode of 13, 8, 3, 16, 16, 3 and 16? (a) 16 (b) 13 (c) 8 (d) 3
9. 9.What is the mean of 2, 13, 6, 4, 11 and 6? (a) 9 (b) 8 (c) 6 (d) 7
10. 10.What is the mean of 11, 19, 3, 19, 17 and 3? (a) 12 (b) 11 (c) 14 (d) 13
11. 11.What is the mode of 11, 1, 13, 5, 11, 1 and 11? (a) 11 (b) 5 (c) 13 (d) 1
12. 12.What is the mode of 18, 11, 8, 11, 11, 8 and 19? (a) 8 (b) 18 (c) 11 (d) 19
13. 13.What is the mode of 14, 4, 13, 10, 4, 14 and 4? (a) 4 (b) 14 (c) 13 (d) 10
14. 14.What is the mode of 15, 15, 8, 15, 7, 16 and 7? (a) 16 (b) 7 (c) 8 (d) 15
15. 15.What is the mean of 19, 8, 4, 12 and 2? (a) 10 (b) 8 (c) 11 (d) 9
16. 16.What is the mean of 12, 2, 2 and 16? (a) 8 (b) 7 (c) 9 (d) 10
17. 17.What is the median of 11, 24, 25, 19 and 14? (a) 14 (b) 25 (c) 24 (d) 19
18. 18.What is the median of 39, 23, 38, 1 and 30? (a) 38 (b) 31 (c) 23 (d) 30
19. 19.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 46 (b) 42 (c) 38 (d) 43
20. 20.What is the median of 25, 5, 9, 32, 15, 3 and 33? (a) 15 (b) 25 (c) 9 (d) 32
21. 21.What is the mean of 12, 15, 13, 7, 10 and 3? (a) 12 (b) 9 (c) 11 (d) 10
22. 22.What is the median of 6, 16, 15, 20 and 11? (a) 16 (b) 14 (c) 15 (d) 11
23. 23.The mean of 5 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 21 (b) 30 (c) 29 (d) 33
24. 24.What is the mean of 2, 8, 2, 11 and 22? (a) 9 (b) 10 (c) 8 (d) 11
25. 25.The mean of 3 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 26 (b) 29 (c) 32 (d) 30
26. 26.What is the median of 23, 28, 14, 40 and 9? (a) 14 (b) 28 (c) 24 (d) 23
27. 27.What is the mean of 12, 11, 15 and 2? (a) 10 (b) 9 (c) 8 (d) 11
28. 28.The mean of 3 numbers is 22. When the number 34 is added to them, what is the new mean? (a) 25 (b) 26 (c) 22 (d) 28
29. 29.What is the mode of 19, 5, 16, 16, 12, 16 and 19? (a) 19 (b) 5 (c) 12 (d) 16
30. 30.The mean of 4 numbers is 17. When the number 12 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 15
31. 31.What is the mode of 15, 6, 9, 9, 15, 18 and 9? (a) 15 (b) 6 (c) 18 (d) 9
32. 32.What is the mode of 11, 7, 8, 20, 7, 7 and 20? (a) 8 (b) 7 (c) 11 (d) 20
33. 33.What is the median of 13, 38, 37, 22 and 3? (a) 37 (b) 22 (c) 23 (d) 13
34. 34.The mean of 3 numbers is 26. When the number 30 is added to them, what is the new mean? (a) 28 (b) 29 (c) 26 (d) 27
35. 35.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 30 (b) 26 (c) 25 (d) 23
36. 36.What is the mode of 19, 19, 13, 19, 13, 4 and 5? (a) 4 (b) 5 (c) 13 (d) 19
37. 37.What is the median of 3, 12, 11, 27 and 8? (a) 11 (b) 12 (c) 8 (d) 10
38. 38.What is the mean of 13, 10, 19, 5, 2 and 5? (a) 8 (b) 11 (c) 9 (d) 10
39. 39.What is the mode of 18, 18, 10, 10, 18, 1 and 5? (a) 10 (b) 5 (c) 18 (d) 1
40. 40.What is the mean of 12, 5, 20, 10, 3 and 10? (a) 10 (b) 12 (c) 9 (d) 11

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