Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 926 · 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 mean of 2, 13, 12, 16 and 12? (a) 10 (b) 12 (c) 13 (d) 11
2. 2.What is the mode of 11, 14, 19, 14, 11, 16 and 11? (a) 16 (b) 14 (c) 19 (d) 11
3. 3.What is the mode of 14, 14, 15, 6, 14, 17 and 6? (a) 6 (b) 15 (c) 14 (d) 17
4. 4.The mean of 6 numbers is 36. When the number 50 is added to them, what is the new mean? (a) 39 (b) 43 (c) 38 (d) 36
5. 5.What is the median of 15, 31, 6, 19 and 9? (a) 15 (b) 16 (c) 6 (d) 19
6. 6.What is the mean of 2, 6, 20, 4 and 8? (a) 9 (b) 10 (c) 8 (d) 7
7. 7.What is the mode of 5, 6, 14, 6, 14, 6 and 16? (a) 14 (b) 16 (c) 5 (d) 6
8. 8.What is the median of 5, 11, 14, 21 and 25? (a) 21 (b) 15 (c) 14 (d) 11
9. 9.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 14
10. 10.What is the median of 12, 16, 18, 9, 36, 17 and 30? (a) 9 (b) 16 (c) 17 (d) 18
11. 11.What is the mean of 6, 11, 3, 2, 8 and 12? (a) 6 (b) 9 (c) 7 (d) 8
12. 12.What is the mean of 6, 3, 12, 7, 2 and 12? (a) 9 (b) 6 (c) 7 (d) 8
13. 13.What is the mode of 4, 5, 4, 14, 5, 7 and 4? (a) 5 (b) 7 (c) 14 (d) 4
14. 14.What is the mean of 6, 15, 7, 4 and 18? (a) 9 (b) 11 (c) 10 (d) 12
15. 15.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 26
16. 16.What is the mean of 7, 20, 16, 12, 12 and 23? (a) 16 (b) 18 (c) 15 (d) 14
17. 17.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 10 (b) 14 (c) 26 (d) 15
18. 18.What is the median of 3, 9, 32, 29, 16, 37 and 35? (a) 16 (b) 23 (c) 29 (d) 32
19. 19.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 21 (b) 27 (c) 25 (d) 24
20. 20.The mean of 5 numbers is 26. When the number 2 is added to them, what is the new mean? (a) 14 (b) 22 (c) 23 (d) 26
21. 21.What is the mean of 4, 7, 7, 3, 12 and 9? (a) 7 (b) 6 (c) 9 (d) 8
22. 22.What is the mean of 18, 18, 5, 4, 18 and 15? (a) 12 (b) 14 (c) 13 (d) 15
23. 23.What is the mode of 7, 14, 6, 17, 6, 6 and 7? (a) 17 (b) 6 (c) 14 (d) 7
24. 24.What is the median of 4, 28, 27, 24, 3, 10 and 11? (a) 12 (b) 24 (c) 11 (d) 10
25. 25.What is the mode of 16, 4, 4, 14, 14, 6 and 14? (a) 16 (b) 4 (c) 14 (d) 6
26. 26.What is the mean of 4, 20, 12, 3 and 6? (a) 10 (b) 8 (c) 9 (d) 11
27. 27.What is the median of 5, 30, 36, 29, 22, 19 and 6? (a) 22 (b) 19 (c) 29 (d) 21
28. 28.What is the mode of 6, 13, 15, 6, 16, 6 and 16? (a) 16 (b) 13 (c) 15 (d) 6
29. 29.What is the median of 10, 18, 11, 3 and 29? (a) 18 (b) 11 (c) 10 (d) 12
30. 30.What is the mean of 8, 20, 5 and 23? (a) 16 (b) 14 (c) 13 (d) 15
31. 31.What is the mode of 4, 4, 20, 16, 7, 16 and 16? (a) 20 (b) 16 (c) 7 (d) 4
32. 32.What is the median of 18, 11, 39, 24 and 28? (a) 39 (b) 18 (c) 28 (d) 24
33. 33.What is the mode of 1, 8, 9, 1, 9, 1 and 2? (a) 9 (b) 1 (c) 8 (d) 2
34. 34.What is the mode of 11, 5, 8, 10, 5, 11 and 5? (a) 8 (b) 5 (c) 10 (d) 11
35. 35.What is the median of 9, 2, 19, 14, 40, 4 and 23? (a) 19 (b) 15 (c) 9 (d) 14
36. 36.What is the median of 12, 27, 1, 15 and 9? (a) 1 (b) 15 (c) 9 (d) 12
37. 37.What is the mode of 6, 6, 13, 14, 8, 8 and 6? (a) 8 (b) 13 (c) 6 (d) 14
38. 38.The mean of 5 numbers is 13. When the number 37 is added to them, what is the new mean? (a) 25 (b) 13 (c) 17 (d) 18
39. 39.What is the median of 27, 14, 39, 26 and 40? (a) 39 (b) 26 (c) 27 (d) 28
40. 40.What is the mean of 3, 14, 20, 2, 14 and 7? (a) 12 (b) 9 (c) 11 (d) 10

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