Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 879 · 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 14, 5, 11, 8 and 7? (a) 10 (b) 9 (c) 11 (d) 8
2. 2.The mean of 5 numbers is 22. When the number 46 is added to them, what is the new mean? (a) 22 (b) 27 (c) 34 (d) 26
3. 3.What is the mean of 8, 5, 7, 19 and 21? (a) 10 (b) 13 (c) 15 (d) 12
4. 4.What is the mode of 16, 13, 15, 4, 4, 13 and 13? (a) 16 (b) 15 (c) 13 (d) 4
5. 5.What is the mode of 5, 4, 4, 13, 13, 13 and 6? (a) 4 (b) 6 (c) 5 (d) 13
6. 6.What is the median of 40, 39, 8, 3, 9, 2 and 24? (a) 8 (b) 9 (c) 24 (d) 3
7. 7.What is the median of 32, 36, 4, 16, 7, 33 and 17? (a) 17 (b) 16 (c) 32 (d) 18
8. 8.What is the mean of 2, 16, 6 and 20? (a) 11 (b) 10 (c) 13 (d) 12
9. 9.What is the mean of 11, 7, 17 and 21? (a) 16 (b) 14 (c) 13 (d) 15
10. 10.The mean of 4 numbers is 29. When the number 39 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 34
11. 11.What is the median of 23, 26, 16, 36 and 4? (a) 21 (b) 16 (c) 23 (d) 26
12. 12.What is the median of 5, 28, 23, 33 and 3? (a) 24 (b) 23 (c) 28 (d) 5
13. 13.What is the mean of 19, 7, 10, 5 and 14? (a) 13 (b) 10 (c) 12 (d) 11
14. 14.The mean of 3 numbers is 13. When the number 1 is added to them, what is the new mean? (a) 13 (b) 11 (c) 7 (d) 10
15. 15.What is the mode of 8, 10, 8, 8, 1, 1 and 15? (a) 8 (b) 1 (c) 10 (d) 15
16. 16.What is the median of 25, 40, 27, 2, 1, 21 and 19? (a) 25 (b) 2 (c) 19 (d) 21
17. 17.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 22 (b) 30 (c) 27 (d) 26
18. 18.What is the mean of 10, 20, 5, 14 and 16? (a) 13 (b) 14 (c) 15 (d) 12
19. 19.What is the median of 31, 11, 2, 22, 4, 17 and 39? (a) 11 (b) 17 (c) 18 (d) 22
20. 20.What is the mode of 15, 7, 5, 7, 3, 5 and 5? (a) 15 (b) 5 (c) 3 (d) 7
21. 21.What is the mode of 9, 17, 17, 9, 12, 17 and 6? (a) 17 (b) 6 (c) 12 (d) 9
22. 22.What is the mean of 5, 9, 9, 11 and 16? (a) 12 (b) 11 (c) 9 (d) 10
23. 23.What is the median of 27, 18, 35, 26, 1, 38 and 24? (a) 24 (b) 27 (c) 25 (d) 26
24. 24.What is the mean of 6, 13, 9 and 8? (a) 12 (b) 9 (c) 10 (d) 8
25. 25.What is the median of 28, 34, 17, 29, 35, 14 and 31? (a) 30 (b) 28 (c) 29 (d) 31
26. 26.The mean of 8 numbers is 20. When the number 56 is added to them, what is the new mean? (a) 20 (b) 25 (c) 38 (d) 24
27. 27.What is the mode of 6, 15, 15, 5, 15, 12 and 5? (a) 12 (b) 5 (c) 15 (d) 6
28. 28.The mean of 6 numbers is 29. When the number 8 is added to them, what is the new mean? (a) 26 (b) 25 (c) 27 (d) 29
29. 29.What is the mean of 18, 3, 8 and 23? (a) 15 (b) 14 (c) 13 (d) 12
30. 30.What is the mean of 16, 4, 16, 3, 3 and 6? (a) 9 (b) 8 (c) 7 (d) 10
31. 31.The mean of 5 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 13 (b) 25 (c) 17 (d) 18
32. 32.What is the median of 12, 13, 29, 11 and 1? (a) 29 (b) 13 (c) 12 (d) 11
33. 33.What is the median of 23, 37, 15, 32, 19, 20 and 30? (a) 30 (b) 20 (c) 32 (d) 23
34. 34.What is the median of 40, 10, 12, 27, 11, 1 and 19? (a) 19 (b) 11 (c) 12 (d) 27
35. 35.What is the mode of 4, 6, 8, 7, 4, 6 and 4? (a) 7 (b) 8 (c) 6 (d) 4
36. 36.What is the mean of 18, 13, 11, 4 and 4? (a) 11 (b) 9 (c) 12 (d) 10
37. 37.What is the mean of 17, 15, 8, 12, 5 and 21? (a) 14 (b) 13 (c) 15 (d) 12
38. 38.What is the mode of 6, 6, 17, 17, 14, 20 and 6? (a) 14 (b) 6 (c) 17 (d) 20
39. 39.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 11
40. 40.What is the mean of 14, 11, 14 and 9? (a) 13 (b) 12 (c) 16 (d) 11

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