Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 507 · 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 4 numbers is 18. When the number 13 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 19
2. 2.What is the mode of 8, 1, 1, 12, 16, 8 and 1? (a) 16 (b) 1 (c) 12 (d) 8
3. 3.What is the mean of 6, 16, 2, 3 and 18? (a) 8 (b) 9 (c) 11 (d) 10
4. 4.The mean of 9 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 40 (b) 30 (c) 33 (d) 32
5. 5.What is the mode of 14, 1, 14, 2, 2, 14 and 4? (a) 1 (b) 4 (c) 14 (d) 2
6. 6.What is the median of 15, 10, 21, 32 and 6? (a) 10 (b) 15 (c) 21 (d) 16
7. 7.What is the median of 33, 25, 16, 1 and 32? (a) 32 (b) 16 (c) 26 (d) 25
8. 8.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 13 (b) 9 (c) 14 (d) 15
9. 9.What is the median of 30, 13, 4, 33, 35, 25 and 31? (a) 25 (b) 30 (c) 33 (d) 31
10. 10.What is the mean of 19, 4, 13, 8 and 21? (a) 14 (b) 12 (c) 15 (d) 13
11. 11.What is the mode of 14, 12, 12, 7, 1, 14 and 14? (a) 7 (b) 12 (c) 14 (d) 1
12. 12.What is the mode of 15, 9, 13, 5, 15, 15 and 13? (a) 15 (b) 13 (c) 5 (d) 9
13. 13.What is the mean of 20, 16, 19, 14, 9 and 12? (a) 18 (b) 16 (c) 14 (d) 15
14. 14.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
15. 15.What is the mean of 2, 14, 4 and 12? (a) 7 (b) 9 (c) 8 (d) 10
16. 16.The mean of 5 numbers is 15. When the number 21 is added to them, what is the new mean? (a) 15 (b) 18 (c) 17 (d) 16
17. 17.What is the median of 24, 19, 34, 1 and 5? (a) 34 (b) 24 (c) 19 (d) 5
18. 18.What is the mean of 11, 2, 2 and 21? (a) 12 (b) 10 (c) 9 (d) 8
19. 19.What is the median of 24, 15, 14, 30 and 10? (a) 24 (b) 15 (c) 14 (d) 16
20. 20.What is the mean of 10, 6, 13, 5 and 16? (a) 9 (b) 12 (c) 11 (d) 10
21. 21.What is the mode of 20, 5, 3, 17, 5, 3 and 3? (a) 17 (b) 5 (c) 20 (d) 3
22. 22.What is the mean of 19, 3, 2, 4 and 22? (a) 12 (b) 10 (c) 11 (d) 9
23. 23.What is the mean of 8, 8, 4, 8 and 12? (a) 10 (b) 9 (c) 8 (d) 7
24. 24.What is the mode of 14, 1, 14, 6, 6, 6 and 19? (a) 6 (b) 19 (c) 14 (d) 1
25. 25.What is the mean of 7, 12, 9, 14 and 13? (a) 12 (b) 10 (c) 13 (d) 11
26. 26.What is the mode of 8, 19, 8, 19, 2, 8 and 20? (a) 8 (b) 20 (c) 19 (d) 2
27. 27.The mean of 3 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 34 (c) 35 (d) 31
28. 28.What is the mode of 3, 12, 3, 13, 4, 13 and 13? (a) 13 (b) 12 (c) 3 (d) 4
29. 29.What is the mode of 16, 16, 19, 16, 17, 10 and 19? (a) 17 (b) 16 (c) 10 (d) 19
30. 30.What is the mode of 3, 3, 2, 7, 2, 11 and 3? (a) 11 (b) 2 (c) 3 (d) 7
31. 31.What is the median of 37, 6, 33, 9 and 31? (a) 31 (b) 32 (c) 33 (d) 9
32. 32.What is the mode of 15, 9, 5, 15, 14, 9 and 9? (a) 5 (b) 14 (c) 9 (d) 15
33. 33.What is the mean of 16, 8, 15, 9, 10 and 20? (a) 14 (b) 15 (c) 12 (d) 13
34. 34.The mean of 7 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 44 (b) 39 (c) 38 (d) 36
35. 35.What is the mode of 16, 9, 12, 9, 8, 16 and 16? (a) 8 (b) 9 (c) 12 (d) 16
36. 36.What is the mean of 7, 12, 15, 4 and 12? (a) 9 (b) 12 (c) 11 (d) 10
37. 37.What is the mode of 17, 3, 20, 17, 17, 6 and 20? (a) 6 (b) 20 (c) 3 (d) 17
38. 38.What is the mean of 11, 3, 2, 6, 14 and 12? (a) 9 (b) 10 (c) 7 (d) 8
39. 39.What is the mean of 3, 11, 18, 11 and 7? (a) 12 (b) 10 (c) 11 (d) 9
40. 40.What is the median of 3, 22, 33, 10, 39, 11 and 9? (a) 10 (b) 12 (c) 11 (d) 22

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