Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 907 · 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 6 numbers is 27. When the number 34 is added to them, what is the new mean? (a) 30 (b) 28 (c) 27 (d) 29
2. 2.What is the mean of 3, 8, 2, 9, 4 and 16? (a) 7 (b) 6 (c) 8 (d) 9
3. 3.The mean of 5 numbers is 26. When the number 38 is added to them, what is the new mean? (a) 28 (b) 26 (c) 29 (d) 32
4. 4.What is the mean of 14, 18, 7 and 17? (a) 16 (b) 13 (c) 14 (d) 15
5. 5.What is the median of 39, 4, 35, 2, 20, 30 and 34? (a) 34 (b) 30 (c) 2 (d) 20
6. 6.What is the median of 15, 40, 3, 1 and 31? (a) 3 (b) 15 (c) 18 (d) 31
7. 7.What is the mode of 20, 14, 1, 12, 14, 14 and 20? (a) 20 (b) 1 (c) 14 (d) 12
8. 8.The mean of 3 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 33
9. 9.What is the median of 17, 6, 10, 22 and 2? (a) 10 (b) 6 (c) 11 (d) 17
10. 10.What is the mean of 19, 18, 4 and 3? (a) 10 (b) 11 (c) 13 (d) 12
11. 11.What is the median of 25, 9, 4, 8 and 19? (a) 19 (b) 9 (c) 4 (d) 13
12. 12.What is the mean of 14, 20, 14 and 20? (a) 19 (b) 18 (c) 17 (d) 16
13. 13.What is the mode of 6, 15, 1, 6, 1, 1 and 11? (a) 6 (b) 1 (c) 15 (d) 11
14. 14.What is the mean of 15, 6, 15 and 4? (a) 9 (b) 8 (c) 11 (d) 10
15. 15.What is the mode of 13, 1, 3, 17, 3, 17 and 3? (a) 17 (b) 3 (c) 13 (d) 1
16. 16.What is the mean of 11, 15, 9 and 17? (a) 14 (b) 15 (c) 13 (d) 12
17. 17.What is the mean of 20, 2, 3, 2 and 13? (a) 8 (b) 9 (c) 10 (d) 7
18. 18.What is the mode of 18, 1, 1, 9, 18, 11 and 18? (a) 9 (b) 1 (c) 18 (d) 11
19. 19.What is the mean of 11, 20, 13 and 16? (a) 15 (b) 12 (c) 20 (d) 16
20. 20.The mean of 5 numbers is 22. When the number 40 is added to them, what is the new mean? (a) 25 (b) 31 (c) 22 (d) 26
21. 21.What is the mean of 8, 9, 3 and 20? (a) 8 (b) 9 (c) 10 (d) 11
22. 22.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 33 (b) 37 (c) 38 (d) 51
23. 23.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 17 (b) 16 (c) 20 (d) 12
24. 24.What is the mean of 10, 3, 19, 3, 20 and 5? (a) 9 (b) 12 (c) 10 (d) 11
25. 25.What is the median of 27, 15, 4, 24, 36, 12 and 26? (a) 25 (b) 15 (c) 26 (d) 24
26. 26.What is the mode of 9, 3, 15, 2, 2, 3 and 2? (a) 3 (b) 9 (c) 15 (d) 2
27. 27.What is the mean of 18, 16, 8, 6, 7 and 5? (a) 11 (b) 10 (c) 9 (d) 12
28. 28.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 13 (b) 19 (c) 20 (d) 23
29. 29.The mean of 8 numbers is 31. When the number 49 is added to them, what is the new mean? (a) 34 (b) 40 (c) 33 (d) 31
30. 30.What is the median of 16, 40, 8, 25 and 5? (a) 17 (b) 25 (c) 8 (d) 16
31. 31.What is the median of 35, 9, 14, 12 and 16? (a) 16 (b) 12 (c) 15 (d) 14
32. 32.What is the mean of 3, 12, 2, 16, 20 and 7? (a) 12 (b) 10 (c) 11 (d) 9
33. 33.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 11 (b) 15 (c) 17 (d) 16
34. 34.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 45 (b) 36 (c) 38 (d) 39
35. 35.The mean of 7 numbers is 10. When the number 2 is added to them, what is the new mean? (a) 6 (b) 9 (c) 10 (d) 8
36. 36.What is the mean of 5, 11, 8, 11 and 20? (a) 11 (b) 10 (c) 12 (d) 13
37. 37.What is the median of 32, 5, 11, 18 and 20? (a) 20 (b) 11 (c) 18 (d) 19
38. 38.What is the median of 1, 35, 19, 14 and 27? (a) 27 (b) 14 (c) 20 (d) 19
39. 39.What is the mode of 9, 10, 12, 12, 1, 1 and 1? (a) 9 (b) 10 (c) 12 (d) 1
40. 40.What is the mean of 4, 2, 5 and 9? (a) 4 (b) 6 (c) 5 (d) 7

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