Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 924 · 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 median of 9, 5, 1, 30 and 36? (a) 1 (b) 30 (c) 9 (d) 5
2. 2.What is the mode of 15, 5, 10, 5, 5, 14 and 10? (a) 15 (b) 14 (c) 10 (d) 5
3. 3.What is the mode of 4, 17, 4, 18, 2, 2 and 4? (a) 18 (b) 4 (c) 2 (d) 17
4. 4.What is the mode of 10, 8, 8, 8, 5, 17 and 17? (a) 10 (b) 8 (c) 17 (d) 5
5. 5.The mean of 7 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 30 (b) 31 (c) 32 (d) 34
6. 6.What is the mode of 19, 13, 5, 19, 3, 5 and 5? (a) 5 (b) 3 (c) 19 (d) 13
7. 7.What is the mean of 10, 16, 17, 14 and 8? (a) 14 (b) 12 (c) 13 (d) 15
8. 8.What is the mean of 11, 20, 14 and 15? (a) 16 (b) 12 (c) 15 (d) 20
9. 9.What is the mean of 20, 10, 9, 12 and 9? (a) 13 (b) 10 (c) 12 (d) 15
10. 10.What is the median of 4, 14, 36, 16 and 18? (a) 14 (b) 18 (c) 36 (d) 16
11. 11.What is the mean of 4, 8, 11, 2, 4 and 25? (a) 10 (b) 9 (c) 11 (d) 8
12. 12.What is the mean of 10, 17, 18 and 11? (a) 16 (b) 14 (c) 13 (d) 15
13. 13.What is the mode of 16, 16, 12, 16, 8, 8 and 11? (a) 8 (b) 12 (c) 16 (d) 11
14. 14.What is the median of 7, 22, 5, 3 and 14? (a) 7 (b) 8 (c) 14 (d) 5
15. 15.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 18 (b) 17 (c) 23 (d) 13
16. 16.What is the mean of 7, 6, 19 and 8? (a) 8 (b) 11 (c) 10 (d) 9
17. 17.What is the mean of 13, 7, 3, 14, 12 and 17? (a) 13 (b) 10 (c) 11 (d) 12
18. 18.What is the mean of 3, 8, 12 and 9? (a) 9 (b) 8 (c) 10 (d) 7
19. 19.What is the median of 28, 39, 12, 22, 5, 20 and 11? (a) 12 (b) 20 (c) 22 (d) 21
20. 20.What is the mode of 18, 4, 12, 4, 12, 2 and 4? (a) 2 (b) 12 (c) 4 (d) 18
21. 21.What is the mean of 6, 11, 18, 8 and 7? (a) 12 (b) 9 (c) 10 (d) 11
22. 22.What is the mean of 7, 8, 7, 17 and 11? (a) 11 (b) 12 (c) 9 (d) 10
23. 23.What is the mean of 16, 6, 3, 20 and 15? (a) 13 (b) 10 (c) 12 (d) 15
24. 24.What is the mean of 3, 15, 4, 6, 2 and 6? (a) 7 (b) 8 (c) 6 (d) 5
25. 25.What is the median of 6, 3, 40, 1, 38, 11 and 28? (a) 1 (b) 11 (c) 28 (d) 6
26. 26.The mean of 6 numbers is 12. When the number 33 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 16
27. 27.What is the mean of 18, 8, 7 and 11? (a) 10 (b) 12 (c) 13 (d) 11
28. 28.What is the mean of 14, 12, 7, 2 and 15? (a) 12 (b) 11 (c) 10 (d) 9
29. 29.What is the mode of 10, 19, 1, 7, 10, 1 and 1? (a) 10 (b) 19 (c) 1 (d) 7
30. 30.What is the mode of 1, 14, 7, 6, 6, 14 and 6? (a) 1 (b) 7 (c) 6 (d) 14
31. 31.What is the mean of 14, 11, 11, 5 and 19? (a) 13 (b) 12 (c) 10 (d) 15
32. 32.What is the mode of 1, 14, 6, 10, 1, 6 and 6? (a) 1 (b) 10 (c) 6 (d) 14
33. 33.What is the mode of 5, 5, 16, 3, 3, 12 and 3? (a) 5 (b) 12 (c) 16 (d) 3
34. 34.The mean of 3 numbers is 37. When the number 45 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 41
35. 35.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 31 (b) 49 (c) 35 (d) 36
36. 36.What is the mode of 5, 5, 2, 2, 14, 2 and 9? (a) 14 (b) 5 (c) 9 (d) 2
37. 37.What is the mode of 13, 18, 10, 20, 10, 20 and 10? (a) 18 (b) 10 (c) 13 (d) 20
38. 38.The mean of 3 numbers is 26. When the number 14 is added to them, what is the new mean? (a) 24 (b) 23 (c) 20 (d) 26
39. 39.What is the median of 24, 22, 19, 27 and 29? (a) 19 (b) 22 (c) 27 (d) 24
40. 40.What is the mode of 5, 5, 8, 8, 18, 10 and 8? (a) 18 (b) 10 (c) 8 (d) 5

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