Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 455 · 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, 20, 7, 5, 6, 7 and 7? (a) 6 (b) 7 (c) 20 (d) 5
2. 2.What is the median of 19, 37, 9, 16, 39, 38 and 11? (a) 16 (b) 19 (c) 37 (d) 20
3. 3.What is the mean of 8, 14, 19 and 19? (a) 20 (b) 15 (c) 12 (d) 16
4. 4.What is the mean of 15, 11, 16 and 22? (a) 15 (b) 17 (c) 16 (d) 18
5. 5.The mean of 3 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 21 (b) 25 (c) 29 (d) 26
6. 6.What is the median of 33, 30, 22, 28 and 37? (a) 22 (b) 30 (c) 28 (d) 33
7. 7.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 30
8. 8.What is the mode of 14, 13, 13, 13, 8, 8 and 11? (a) 13 (b) 11 (c) 8 (d) 14
9. 9.The mean of 3 numbers is 28. When the number 12 is added to them, what is the new mean? (a) 24 (b) 20 (c) 28 (d) 25
10. 10.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 32 (b) 27 (c) 31 (d) 41
11. 11.What is the mode of 12, 3, 3, 15, 6, 3 and 15? (a) 12 (b) 3 (c) 6 (d) 15
12. 12.What is the mean of 8, 13, 9, 4, 19 and 19? (a) 11 (b) 14 (c) 13 (d) 12
13. 13.What is the mean of 15, 7, 6, 8 and 19? (a) 13 (b) 12 (c) 11 (d) 10
14. 14.The mean of 4 numbers is 32. When the number 27 is added to them, what is the new mean? (a) 30 (b) 32 (c) 33 (d) 31
15. 15.What is the mode of 9, 8, 14, 9, 3, 8 and 8? (a) 3 (b) 14 (c) 8 (d) 9
16. 16.What is the mode of 18, 16, 16, 19, 18, 16 and 5? (a) 18 (b) 19 (c) 16 (d) 5
17. 17.What is the median of 39, 31, 1, 4 and 33? (a) 1 (b) 4 (c) 31 (d) 33
18. 18.What is the mean of 13, 5, 12, 11 and 14? (a) 10 (b) 12 (c) 11 (d) 13
19. 19.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 17 (b) 16 (c) 13 (d) 15
20. 20.What is the median of 23, 2, 3, 14 and 5? (a) 6 (b) 14 (c) 3 (d) 5
21. 21.The mean of 8 numbers is 37. When the number 73 is added to them, what is the new mean? (a) 37 (b) 42 (c) 55 (d) 41
22. 22.What is the median of 20, 21, 6, 15 and 18? (a) 20 (b) 6 (c) 18 (d) 16
23. 23.What is the median of 33, 12, 15, 13, 37, 39 and 19? (a) 19 (b) 13 (c) 24 (d) 33
24. 24.What is the mean of 16, 7, 7, 4 and 11? (a) 8 (b) 10 (c) 9 (d) 11
25. 25.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 19 (b) 20 (c) 23 (d) 13
26. 26.What is the mode of 7, 10, 7, 19, 10, 10 and 11? (a) 10 (b) 11 (c) 7 (d) 19
27. 27.What is the mean of 3, 3, 18, 7, 3 and 8? (a) 8 (b) 7 (c) 6 (d) 9
28. 28.What is the mean of 9, 6, 13, 20 and 22? (a) 14 (b) 13 (c) 15 (d) 16
29. 29.What is the median of 32, 21, 14, 12, 8, 10 and 7? (a) 10 (b) 14 (c) 13 (d) 12
30. 30.What is the mode of 14, 16, 16, 4, 6, 14 and 14? (a) 16 (b) 6 (c) 4 (d) 14
31. 31.What is the mode of 7, 7, 8, 20, 7, 20 and 5? (a) 5 (b) 20 (c) 7 (d) 8
32. 32.What is the mode of 11, 2, 11, 13, 11, 13 and 19? (a) 2 (b) 11 (c) 13 (d) 19
33. 33.The mean of 4 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 34
34. 34.What is the mode of 4, 1, 1, 10, 2, 10 and 1? (a) 10 (b) 4 (c) 2 (d) 1
35. 35.What is the mean of 20, 9, 4, 5, 19 and 15? (a) 12 (b) 14 (c) 11 (d) 13
36. 36.What is the mode of 12, 15, 7, 7, 8, 15 and 15? (a) 12 (b) 7 (c) 15 (d) 8
37. 37.What is the mode of 3, 2, 3, 8, 16, 8 and 3? (a) 16 (b) 8 (c) 2 (d) 3
38. 38.What is the mean of 11, 15, 2, 14 and 8? (a) 10 (b) 9 (c) 11 (d) 12
39. 39.What is the mean of 16, 14, 11, 17, 4 and 10? (a) 14 (b) 13 (c) 11 (d) 12
40. 40.What is the median of 27, 3, 7, 36, 24, 21 and 5? (a) 36 (b) 24 (c) 7 (d) 21

Free maths olympiad lessons, practice and worksheets at talentjr.in/maths-olympiad