Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 150 · 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 6, 6, 7, 7, 7, 18 and 14? (a) 7 (b) 18 (c) 6 (d) 14
2. 2.What is the median of 16, 20, 27, 13 and 17? (a) 17 (b) 20 (c) 16 (d) 27
3. 3.What is the mean of 12, 3, 7 and 18? (a) 10 (b) 11 (c) 8 (d) 9
4. 4.What is the mode of 17, 5, 15, 15, 15, 13 and 5? (a) 13 (b) 5 (c) 17 (d) 15
5. 5.The mean of 8 numbers is 35. When the number 26 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 36
6. 6.What is the median of 7, 25, 2, 10 and 6? (a) 7 (b) 6 (c) 2 (d) 10
7. 7.What is the median of 6, 10, 22, 14, 35, 36 and 9? (a) 15 (b) 10 (c) 22 (d) 14
8. 8.What is the mean of 3, 17, 17 and 7? (a) 12 (b) 10 (c) 11 (d) 13
9. 9.What is the mean of 11, 9, 14, 4 and 17? (a) 10 (b) 13 (c) 12 (d) 11
10. 10.What is the mode of 4, 4, 5, 11, 5, 13 and 4? (a) 5 (b) 13 (c) 4 (d) 11
11. 11.The mean of 8 numbers is 28. When the number 1 is added to them, what is the new mean? (a) 26 (b) 28 (c) 24 (d) 25
12. 12.What is the mode of 14, 1, 2, 20, 2, 20 and 20? (a) 2 (b) 14 (c) 1 (d) 20
13. 13.What is the mean of 12, 2, 2 and 4? (a) 6 (b) 5 (c) 4 (d) 7
14. 14.What is the mean of 17, 5, 4, 4 and 20? (a) 12 (b) 9 (c) 10 (d) 11
15. 15.What is the mode of 4, 3, 4, 4, 7, 7 and 14? (a) 14 (b) 7 (c) 3 (d) 4
16. 16.What is the median of 9, 19, 8, 23 and 33? (a) 23 (b) 9 (c) 19 (d) 8
17. 17.What is the median of 40, 8, 36, 29, 4, 5 and 2? (a) 8 (b) 29 (c) 5 (d) 9
18. 18.What is the mode of 13, 13, 2, 13, 5, 19 and 5? (a) 13 (b) 2 (c) 5 (d) 19
19. 19.What is the mode of 6, 17, 18, 16, 17, 6 and 17? (a) 6 (b) 17 (c) 16 (d) 18
20. 20.What is the mode of 19, 13, 13, 6, 6, 6 and 5? (a) 6 (b) 13 (c) 19 (d) 5
21. 21.What is the mode of 14, 4, 4, 17, 3, 4 and 3? (a) 3 (b) 14 (c) 4 (d) 17
22. 22.The mean of 4 numbers is 23. When the number 18 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 22
23. 23.What is the mode of 7, 16, 5, 15, 5, 5 and 15? (a) 15 (b) 5 (c) 7 (d) 16
24. 24.What is the mode of 2, 11, 5, 2, 6, 2 and 6? (a) 6 (b) 5 (c) 11 (d) 2
25. 25.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 18 (b) 19 (c) 20 (d) 16
26. 26.The mean of 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
27. 27.What is the mode of 6, 6, 4, 16, 16, 6 and 13? (a) 6 (b) 13 (c) 16 (d) 4
28. 28.What is the mode of 14, 3, 1, 6, 3, 1 and 1? (a) 3 (b) 14 (c) 1 (d) 6
29. 29.What is the mean of 5, 15, 13 and 23? (a) 14 (b) 16 (c) 13 (d) 15
30. 30.The mean of 3 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 34
31. 31.What is the mean of 9, 13, 5 and 9? (a) 9 (b) 10 (c) 12 (d) 8
32. 32.What is the mean of 6, 10, 18, 19, 12 and 13? (a) 13 (b) 14 (c) 12 (d) 15
33. 33.What is the mean of 4, 17, 7, 14, 3 and 9? (a) 8 (b) 11 (c) 10 (d) 9
34. 34.The mean of 6 numbers is 40. When the number 26 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 33
35. 35.What is the median of 8, 31, 19, 9 and 18? (a) 17 (b) 19 (c) 9 (d) 18
36. 36.What is the median of 31, 28, 7, 34, 10, 18 and 30? (a) 30 (b) 28 (c) 34 (d) 18
37. 37.What is the mean of 13, 20, 18, 18, 15 and 6? (a) 18 (b) 15 (c) 14 (d) 16
38. 38.The mean of 6 numbers is 24. When the number 52 is added to them, what is the new mean? (a) 38 (b) 24 (c) 29 (d) 28
39. 39.What is the median of 38, 33, 25, 17, 5, 2 and 6? (a) 17 (b) 6 (c) 25 (d) 18
40. 40.What is the median of 12, 24, 21, 27, 30, 36 and 32? (a) 24 (b) 30 (c) 26 (d) 27

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