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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 673 · 40 questions
TalentJR

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).

NameDateTime takenScore ___ / 40
  1. 1.What is the mean of 5, 20, 7, 14 and 4? (a) 9 (b) 11 (c) 10 (d) 12
  2. 2.What is the mode of 13, 6, 13, 15, 16, 15 and 15? (a) 15 (b) 16 (c) 6 (d) 13
  3. 3.What is the mode of 14, 1, 14, 4, 1, 6 and 14? (a) 1 (b) 6 (c) 4 (d) 14
  4. 4.What is the median of 19, 26, 7, 4 and 9? (a) 19 (b) 13 (c) 7 (d) 9
  5. 5.What is the mean of 16, 8, 15 and 13? (a) 12 (b) 14 (c) 15 (d) 13
  6. 6.What is the mean of 19, 3, 18, 2, 20 and 10? (a) 13 (b) 14 (c) 12 (d) 11
  7. 7.What is the mean of 5, 20, 19, 18 and 13? (a) 17 (b) 15 (c) 14 (d) 16
  8. 8.What is the median of 19, 30, 18, 25 and 16? (a) 25 (b) 19 (c) 18 (d) 20
  9. 9.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 12 (b) 15 (c) 14 (d) 13
  10. 10.What is the mode of 15, 20, 2, 20, 1, 2 and 2? (a) 2 (b) 15 (c) 1 (d) 20
  11. 11.What is the mode of 3, 13, 18, 18, 6, 18 and 3? (a) 13 (b) 6 (c) 3 (d) 18
  12. 12.What is the median of 11, 10, 25, 30, 3, 8 and 35? (a) 11 (b) 25 (c) 30 (d) 10
  13. 13.What is the mean of 7, 12, 15 and 22? (a) 13 (b) 14 (c) 15 (d) 16
  14. 14.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 10 (b) 11 (c) 13 (d) 12
  15. 15.What is the mode of 2, 8, 18, 2, 18, 18 and 17? (a) 18 (b) 8 (c) 2 (d) 17
  16. 16.What is the mean of 14, 9, 3 and 6? (a) 7 (b) 10 (c) 8 (d) 9
  17. 17.What is the mean of 2, 3, 13 and 10? (a) 6 (b) 9 (c) 7 (d) 8
  18. 18.What is the median of 26, 25, 36, 23, 31, 9 and 35? (a) 31 (b) 25 (c) 23 (d) 26
  19. 19.What is the mean of 5, 3, 18, 6 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  20. 20.What is the median of 10, 21, 8, 33 and 31? (a) 10 (b) 31 (c) 8 (d) 21
  21. 21.The mean of 6 numbers is 13. When the number 27 is added to them, what is the new mean? (a) 16 (b) 20 (c) 13 (d) 15
  22. 22.What is the median of 28, 1, 37, 2 and 5? (a) 5 (b) 37 (c) 2 (d) 28
  23. 23.What is the median of 8, 1, 29, 22, 19, 12 and 15? (a) 22 (b) 19 (c) 12 (d) 15
  24. 24.What is the mean of 17, 15, 15, 15 and 8? (a) 14 (b) 15 (c) 13 (d) 16
  25. 25.What is the mode of 10, 11, 11, 3, 19, 19 and 11? (a) 11 (b) 19 (c) 3 (d) 10
  26. 26.What is the mean of 6, 10, 12 and 12? (a) 8 (b) 11 (c) 10 (d) 9
  27. 27.What is the median of 20, 34, 29, 38, 7, 36 and 11? (a) 34 (b) 29 (c) 38 (d) 25
  28. 28.What is the mean of 8, 12, 5, 8 and 7? (a) 10 (b) 7 (c) 9 (d) 8
  29. 29.What is the mean of 15, 7, 4, 18 and 11? (a) 11 (b) 10 (c) 13 (d) 12
  30. 30.What is the median of 33, 20, 12, 6 and 29? (a) 12 (b) 20 (c) 29 (d) 21
  31. 31.The mean of 4 numbers is 17. When the number 22 is added to them, what is the new mean? (a) 20 (b) 19 (c) 18 (d) 17
  32. 32.What is the mode of 9, 8, 8, 4, 9, 9 and 6? (a) 4 (b) 6 (c) 9 (d) 8
  33. 33.The mean of 4 numbers is 39. When the number 54 is added to them, what is the new mean? (a) 43 (b) 39 (c) 42 (d) 41
  34. 34.What is the median of 12, 27, 9, 5 and 11? (a) 11 (b) 12 (c) 9 (d) 10
  35. 35.What is the mean of 8, 3, 3 and 10? (a) 6 (b) 5 (c) 8 (d) 7
  36. 36.What is the mean of 13, 11, 15, 15, 5 and 13? (a) 13 (b) 11 (c) 12 (d) 14
  37. 37.What is the mean of 5, 10, 2, 13 and 15? (a) 11 (b) 8 (c) 9 (d) 10
  38. 38.What is the mode of 6, 15, 8, 15, 4, 6 and 6? (a) 4 (b) 15 (c) 8 (d) 6
  39. 39.What is the mean of 2, 18, 4 and 12? (a) 8 (b) 9 (c) 12 (d) 10
  40. 40.What is the median of 40, 3, 27, 37, 29, 1 and 30? (a) 29 (b) 30 (c) 37 (d) 27

Answer key

  1. 10
  2. 15
  3. 14
  4. 9
  5. 13
  6. 12
  7. 15
  8. 19
  9. 13
  10. 2
  11. 18
  12. 11
  13. 14
  14. 11
  15. 18
  16. 8
  17. 7
  18. 26
  19. 8
  20. 21
  21. 15
  22. 5
  23. 15
  24. 14
  25. 11
  26. 10
  27. 29
  28. 8
  29. 11
  30. 20
  31. 18
  32. 9
  33. 42
  34. 11
  35. 6
  36. 12
  37. 9
  38. 6
  39. 9
  40. 29

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