Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 298 · 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 17, 33, 28, 8 and 31? (a) 31 (b) 17 (c) 28 (d) 29
2. 2.What is the mode of 16, 14, 10, 17, 14, 17 and 17? (a) 16 (b) 10 (c) 14 (d) 17
3. 3.What is the mode of 6, 8, 16, 4, 8, 16 and 16? (a) 8 (b) 6 (c) 16 (d) 4
4. 4.What is the mode of 19, 2, 16, 6, 2, 19 and 19? (a) 16 (b) 2 (c) 6 (d) 19
5. 5.What is the median of 27, 9, 39, 5, 36, 33 and 26? (a) 25 (b) 27 (c) 5 (d) 33
6. 6.What is the mean of 4, 18, 17, 2, 8 and 23? (a) 12 (b) 14 (c) 13 (d) 11
7. 7.What is the mode of 2, 20, 20, 17, 2, 15 and 2? (a) 17 (b) 2 (c) 15 (d) 20
8. 8.What is the median of 15, 20, 27, 36, 33, 23 and 29? (a) 23 (b) 29 (c) 27 (d) 36
9. 9.What is the median of 23, 7, 24, 16 and 1? (a) 23 (b) 16 (c) 24 (d) 7
10. 10.What is the mode of 3, 17, 5, 8, 3, 3 and 17? (a) 5 (b) 8 (c) 17 (d) 3
11. 11.What is the mode of 8, 4, 13, 13, 5, 8 and 8? (a) 13 (b) 4 (c) 8 (d) 5
12. 12.What is the median of 12, 37, 40, 23 and 19? (a) 23 (b) 19 (c) 37 (d) 40
13. 13.What is the mean of 5, 12, 13, 10 and 5? (a) 11 (b) 10 (c) 9 (d) 8
14. 14.What is the mode of 14, 7, 9, 15, 14, 15 and 14? (a) 9 (b) 14 (c) 7 (d) 15
15. 15.The mean of 3 numbers is 35. When the number 27 is added to them, what is the new mean? (a) 33 (b) 34 (c) 35 (d) 31
16. 16.The mean of 6 numbers is 20. When the number 34 is added to them, what is the new mean? (a) 27 (b) 23 (c) 22 (d) 20
17. 17.The mean of 6 numbers is 15. When the number 29 is added to them, what is the new mean? (a) 17 (b) 15 (c) 18 (d) 22
18. 18.The mean of 5 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 25 (b) 18 (c) 24 (d) 27
19. 19.What is the mean of 3, 5, 2 and 18? (a) 7 (b) 9 (c) 8 (d) 6
20. 20.What is the median of 18, 6, 24, 7 and 36? (a) 24 (b) 19 (c) 18 (d) 7
21. 21.What is the mean of 6, 2, 16 and 12? (a) 9 (b) 10 (c) 12 (d) 8
22. 22.What is the mode of 11, 2, 16, 11, 9, 2 and 11? (a) 2 (b) 11 (c) 16 (d) 9
23. 23.What is the mean of 6, 13, 4, 2, 5 and 12? (a) 7 (b) 9 (c) 8 (d) 6
24. 24.What is the mean of 7, 4, 9, 4 and 6? (a) 7 (b) 6 (c) 8 (d) 5
25. 25.The mean of 8 numbers is 38. When the number 11 is added to them, what is the new mean? (a) 38 (b) 36 (c) 34 (d) 35
26. 26.What is the mode of 9, 13, 11, 20, 11, 13 and 11? (a) 20 (b) 11 (c) 9 (d) 13
27. 27.What is the mode of 12, 6, 1, 1, 1, 6 and 7? (a) 12 (b) 7 (c) 6 (d) 1
28. 28.The mean of 5 numbers is 37. When the number 55 is added to them, what is the new mean? (a) 37 (b) 41 (c) 40 (d) 46
29. 29.What is the median of 29, 31, 35, 17 and 22? (a) 31 (b) 29 (c) 35 (d) 22
30. 30.What is the mode of 13, 13, 14, 8, 14, 16 and 14? (a) 8 (b) 13 (c) 16 (d) 14
31. 31.What is the median of 11, 20, 14, 19 and 23? (a) 20 (b) 19 (c) 18 (d) 14
32. 32.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 20 (b) 30 (c) 25 (d) 24
33. 33.What is the mean of 8, 2, 14, 14, 5 and 23? (a) 10 (b) 13 (c) 11 (d) 12
34. 34.The mean of 3 numbers is 26. When the number 22 is added to them, what is the new mean? (a) 25 (b) 24 (c) 27 (d) 26
35. 35.What is the mode of 4, 9, 5, 13, 5, 9 and 5? (a) 4 (b) 13 (c) 5 (d) 9
36. 36.What is the mean of 10, 17, 13, 7 and 13? (a) 15 (b) 13 (c) 10 (d) 12
37. 37.What is the mode of 6, 6, 16, 8, 9, 16 and 6? (a) 8 (b) 6 (c) 9 (d) 16
38. 38.What is the mode of 7, 10, 6, 7, 7, 6 and 12? (a) 10 (b) 12 (c) 7 (d) 6
39. 39.What is the median of 40, 21, 33, 9 and 2? (a) 33 (b) 9 (c) 22 (d) 21
40. 40.What is the mode of 6, 14, 1, 5, 6, 5 and 6? (a) 1 (b) 6 (c) 14 (d) 5

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