Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 50 · 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 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 24 (b) 37 (c) 40 (d) 36
2. 2.What is the mean of 13, 20, 17, 16 and 4? (a) 16 (b) 15 (c) 14 (d) 13
3. 3.The mean of 8 numbers is 10. When the number 28 is added to them, what is the new mean? (a) 13 (b) 12 (c) 10 (d) 19
4. 4.What is the mean of 6, 19, 20, 5, 10 and 6? (a) 12 (b) 10 (c) 13 (d) 11
5. 5.What is the mode of 2, 8, 9, 8, 6, 6 and 6? (a) 2 (b) 9 (c) 6 (d) 8
6. 6.What is the median of 5, 2, 17, 16, 22, 40 and 14? (a) 14 (b) 15 (c) 16 (d) 17
7. 7.What is the mode of 11, 18, 6, 9, 11, 9 and 9? (a) 9 (b) 11 (c) 6 (d) 18
8. 8.What is the median of 6, 11, 3, 10, 33, 12 and 14? (a) 12 (b) 10 (c) 11 (d) 13
9. 9.What is the mean of 12, 2, 9 and 13? (a) 8 (b) 10 (c) 9 (d) 12
10. 10.What is the mode of 13, 2, 13, 7, 13, 4 and 7? (a) 13 (b) 4 (c) 2 (d) 7
11. 11.What is the mean of 6, 4, 16, 16 and 18? (a) 12 (b) 15 (c) 10 (d) 13
12. 12.What is the mode of 1, 3, 5, 1, 5, 13 and 5? (a) 1 (b) 3 (c) 5 (d) 13
13. 13.What is the mean of 2, 4, 9 and 13? (a) 8 (b) 9 (c) 7 (d) 6
14. 14.What is the mode of 4, 4, 12, 20, 4, 18 and 12? (a) 4 (b) 12 (c) 20 (d) 18
15. 15.What is the mode of 15, 12, 20, 15, 12, 15 and 18? (a) 18 (b) 15 (c) 12 (d) 20
16. 16.The mean of 6 numbers is 18. When the number 46 is added to them, what is the new mean? (a) 23 (b) 22 (c) 32 (d) 18
17. 17.What is the mean of 20, 20, 10, 4, 5 and 7? (a) 13 (b) 12 (c) 10 (d) 11
18. 18.What is the median of 26, 11, 34, 14 and 15? (a) 20 (b) 26 (c) 34 (d) 15
19. 19.What is the mode of 2, 9, 10, 2, 8, 2 and 9? (a) 9 (b) 10 (c) 8 (d) 2
20. 20.The mean of 6 numbers is 26. When the number 33 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 26
21. 21.What is the mode of 19, 1, 5, 19, 5, 19 and 17? (a) 17 (b) 19 (c) 1 (d) 5
22. 22.The mean of 9 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 29 (b) 28 (c) 26 (d) 36
23. 23.What is the mean of 7, 4, 11, 3 and 15? (a) 10 (b) 7 (c) 9 (d) 8
24. 24.What is the mode of 2, 13, 6, 13, 17, 13 and 6? (a) 2 (b) 17 (c) 6 (d) 13
25. 25.What is the median of 21, 1, 8, 18 and 31? (a) 18 (b) 19 (c) 8 (d) 21
26. 26.What is the mean of 9, 4, 15 and 4? (a) 10 (b) 9 (c) 8 (d) 7
27. 27.What is the mode of 19, 18, 7, 19, 19, 7 and 11? (a) 19 (b) 7 (c) 18 (d) 11
28. 28.What is the mode of 6, 17, 7, 1, 17, 1 and 1? (a) 7 (b) 6 (c) 1 (d) 17
29. 29.What is the mean of 3, 7, 3 and 15? (a) 7 (b) 8 (c) 6 (d) 9
30. 30.What is the median of 7, 27, 26, 12, 6, 9 and 25? (a) 16 (b) 9 (c) 25 (d) 12
31. 31.What is the mode of 2, 2, 2, 6, 14, 15 and 15? (a) 2 (b) 15 (c) 6 (d) 14
32. 32.What is the mean of 16, 12, 2 and 2? (a) 9 (b) 10 (c) 7 (d) 8
33. 33.What is the mean of 9, 10, 7, 15, 6 and 7? (a) 11 (b) 8 (c) 10 (d) 9
34. 34.The mean of 7 numbers is 12. When the number 36 is added to them, what is the new mean? (a) 24 (b) 15 (c) 12 (d) 16
35. 35.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 21 (b) 23 (c) 24 (d) 29
36. 36.What is the median of 30, 27, 7, 4 and 39? (a) 7 (b) 27 (c) 30 (d) 28
37. 37.The mean of 5 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 30 (b) 29 (c) 21 (d) 33
38. 38.What is the median of 33, 31, 20, 40 and 10? (a) 32 (b) 20 (c) 31 (d) 33
39. 39.What is the mode of 17, 12, 13, 11, 11, 11 and 17? (a) 12 (b) 11 (c) 17 (d) 13
40. 40.What is the median of 15, 35, 7, 31, 30, 24 and 17? (a) 31 (b) 30 (c) 17 (d) 24

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