Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 903 · 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 34, 25, 27, 36 and 15? (a) 28 (b) 27 (c) 25 (d) 34
2. 2.What is the mode of 6, 5, 18, 5, 4, 6 and 5? (a) 6 (b) 4 (c) 5 (d) 18
3. 3.What is the mode of 4, 14, 1, 6, 6, 6 and 1? (a) 14 (b) 1 (c) 4 (d) 6
4. 4.What is the mean of 2, 2, 11 and 5? (a) 7 (b) 6 (c) 5 (d) 4
5. 5.What is the mode of 8, 8, 8, 20, 13, 6 and 6? (a) 13 (b) 20 (c) 6 (d) 8
6. 6.What is the mean of 18, 8, 3 and 7? (a) 12 (b) 9 (c) 8 (d) 10
7. 7.What is the median of 36, 27, 10, 9 and 34? (a) 27 (b) 28 (c) 34 (d) 10
8. 8.What is the mode of 9, 9, 15, 20, 9, 15 and 11? (a) 11 (b) 15 (c) 20 (d) 9
9. 9.What is the mode of 9, 7, 15, 7, 4, 15 and 15? (a) 7 (b) 4 (c) 9 (d) 15
10. 10.The mean of 8 numbers is 31. When the number 58 is added to them, what is the new mean? (a) 31 (b) 33 (c) 34 (d) 35
11. 11.What is the mode of 8, 5, 5, 7, 5, 15 and 8? (a) 8 (b) 7 (c) 15 (d) 5
12. 12.What is the mean of 12, 8, 4, 15, 2 and 19? (a) 10 (b) 9 (c) 12 (d) 11
13. 13.What is the mode of 8, 17, 7, 7, 2, 17 and 17? (a) 2 (b) 8 (c) 17 (d) 7
14. 14.What is the mean of 9, 3, 7, 15 and 21? (a) 11 (b) 13 (c) 12 (d) 10
15. 15.What is the mean of 10, 12, 3, 8 and 7? (a) 8 (b) 7 (c) 10 (d) 9
16. 16.The mean of 4 numbers is 15. When the number 25 is added to them, what is the new mean? (a) 18 (b) 15 (c) 17 (d) 20
17. 17.What is the mode of 15, 20, 15, 15, 10, 11 and 10? (a) 11 (b) 20 (c) 15 (d) 10
18. 18.What is the median of 11, 18, 36, 16 and 7? (a) 18 (b) 16 (c) 36 (d) 11
19. 19.What is the median of 2, 18, 3, 26 and 30? (a) 26 (b) 19 (c) 18 (d) 3
20. 20.What is the mean of 6, 18, 19, 3, 8 and 12? (a) 10 (b) 13 (c) 12 (d) 11
21. 21.The mean of 9 numbers is 28. When the number 38 is added to them, what is the new mean? (a) 28 (b) 33 (c) 29 (d) 30
22. 22.What is the median of 40, 17, 12, 39 and 14? (a) 14 (b) 39 (c) 12 (d) 17
23. 23.What is the mean of 7, 18, 5, 20 and 5? (a) 12 (b) 10 (c) 11 (d) 13
24. 24.The mean of 4 numbers is 31. When the number 46 is added to them, what is the new mean? (a) 35 (b) 34 (c) 31 (d) 33
25. 25.What is the mean of 5, 2, 20 and 21? (a) 11 (b) 12 (c) 13 (d) 16
26. 26.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 22
27. 27.What is the median of 32, 35, 23, 12, 21, 40 and 30? (a) 32 (b) 12 (c) 30 (d) 23
28. 28.What is the mean of 19, 15, 8 and 10? (a) 15 (b) 12 (c) 14 (d) 13
29. 29.What is the mode of 3, 9, 20, 20, 3, 3 and 8? (a) 20 (b) 8 (c) 9 (d) 3
30. 30.What is the mode of 2, 2, 9, 1, 17, 2 and 9? (a) 2 (b) 17 (c) 9 (d) 1
31. 31.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 19 (b) 22 (c) 16 (d) 20
32. 32.The mean of 4 numbers is 28. When the number 23 is added to them, what is the new mean? (a) 27 (b) 29 (c) 26 (d) 28
33. 33.What is the median of 16, 40, 3, 23, 14, 20 and 37? (a) 16 (b) 21 (c) 23 (d) 20
34. 34.What is the mode of 1, 3, 6, 6, 6, 13 and 3? (a) 1 (b) 6 (c) 3 (d) 13
35. 35.What is the mode of 5, 3, 5, 3, 3, 20 and 11? (a) 11 (b) 5 (c) 20 (d) 3
36. 36.What is the mode of 14, 2, 2, 19, 19, 15 and 2? (a) 19 (b) 14 (c) 2 (d) 15
37. 37.What is the median of 34, 27, 36, 24 and 6? (a) 24 (b) 36 (c) 34 (d) 27
38. 38.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 15 (b) 16 (c) 12 (d) 14
39. 39.What is the mean of 19, 16, 13, 10, 9 and 17? (a) 13 (b) 15 (c) 14 (d) 12
40. 40.What is the mean of 20, 10, 11 and 11? (a) 12 (b) 15 (c) 13 (d) 14

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