Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 984 · 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 mode of 3, 2, 2, 18, 18, 2 and 1? (a) 2 (b) 3 (c) 1 (d) 18
2. 2.What is the median of 35, 9, 14, 10, 11, 37 and 7? (a) 12 (b) 10 (c) 11 (d) 14
3. 3.What is the mean of 5, 15, 19, 5 and 6? (a) 11 (b) 9 (c) 12 (d) 10
4. 4.What is the median of 19, 39, 15, 13, 23, 3 and 7? (a) 13 (b) 17 (c) 19 (d) 15
5. 5.The mean of 8 numbers is 15. When the number 42 is added to them, what is the new mean? (a) 19 (b) 17 (c) 15 (d) 18
6. 6.What is the mean of 4, 20, 9 and 7? (a) 10 (b) 8 (c) 9 (d) 11
7. 7.What is the mode of 20, 6, 6, 19, 5, 19 and 19? (a) 19 (b) 20 (c) 6 (d) 5
8. 8.What is the mean of 6, 17, 19, 8 and 15? (a) 13 (b) 15 (c) 14 (d) 12
9. 9.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 19 (b) 16 (c) 17 (d) 18
10. 10.What is the mode of 9, 9, 11, 6, 6, 10 and 6? (a) 9 (b) 11 (c) 10 (d) 6
11. 11.What is the mean of 12, 11, 9, 10, 18 and 18? (a) 15 (b) 13 (c) 14 (d) 12
12. 12.The mean of 6 numbers is 27. When the number 34 is added to them, what is the new mean? (a) 30 (b) 29 (c) 28 (d) 27
13. 13.What is the mode of 3, 4, 8, 4, 1, 1 and 1? (a) 8 (b) 3 (c) 4 (d) 1
14. 14.What is the mean of 2, 3, 2, 13 and 10? (a) 6 (b) 7 (c) 8 (d) 5
15. 15.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 21 (b) 31 (c) 26 (d) 25
16. 16.What is the median of 40, 31, 38, 11, 10, 20 and 3? (a) 21 (b) 31 (c) 11 (d) 20
17. 17.What is the mode of 6, 6, 7, 20, 20, 1 and 6? (a) 6 (b) 20 (c) 1 (d) 7
18. 18.What is the median of 14, 28, 20, 29 and 27? (a) 26 (b) 20 (c) 28 (d) 27
19. 19.What is the mean of 6, 6, 4, 6, 2 and 18? (a) 9 (b) 7 (c) 6 (d) 8
20. 20.What is the median of 7, 12, 23, 21 and 19? (a) 23 (b) 21 (c) 19 (d) 12
21. 21.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 13 (b) 15 (c) 12 (d) 14
22. 22.What is the median of 28, 18, 11, 15, 14, 21 and 3? (a) 18 (b) 14 (c) 15 (d) 16
23. 23.What is the median of 18, 24, 39, 40, 27, 23 and 34? (a) 24 (b) 27 (c) 40 (d) 34
24. 24.What is the mean of 5, 16, 14, 3, 5 and 23? (a) 11 (b) 10 (c) 12 (d) 13
25. 25.What is the median of 2, 33, 14, 12, 21, 6 and 37? (a) 14 (b) 15 (c) 21 (d) 12
26. 26.The mean of 5 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 16 (b) 13 (c) 19 (d) 15
27. 27.What is the mode of 4, 13, 13, 13, 8, 4 and 5? (a) 13 (b) 4 (c) 5 (d) 8
28. 28.What is the median of 39, 9, 5, 38 and 10? (a) 9 (b) 38 (c) 5 (d) 10
29. 29.What is the mode of 4, 7, 4, 4, 16, 7 and 9? (a) 4 (b) 16 (c) 9 (d) 7
30. 30.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 16 (b) 15 (c) 14 (d) 17
31. 31.What is the median of 10, 9, 5, 34, 26, 24 and 11? (a) 24 (b) 17 (c) 11 (d) 34
32. 32.The mean of 3 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 29 (b) 25 (c) 28 (d) 27
33. 33.What is the mean of 16, 12, 18, 5, 10 and 17? (a) 12 (b) 13 (c) 15 (d) 14
34. 34.What is the mode of 13, 4, 10, 10, 7, 10 and 4? (a) 10 (b) 7 (c) 13 (d) 4
35. 35.What is the mean of 5, 4, 17, 15, 15 and 10? (a) 12 (b) 13 (c) 10 (d) 11
36. 36.The mean of 5 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 16
37. 37.What is the mean of 12, 9, 14, 7, 2 and 16? (a) 11 (b) 10 (c) 12 (d) 9
38. 38.What is the mean of 6, 7, 2, 3, 17 and 7? (a) 8 (b) 9 (c) 7 (d) 6
39. 39.What is the mode of 18, 20, 11, 6, 11, 6 and 6? (a) 6 (b) 18 (c) 20 (d) 11
40. 40.What is the mode of 3, 4, 19, 6, 3, 3 and 4? (a) 6 (b) 4 (c) 19 (d) 3

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