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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 148 · 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 median of 28, 34, 1, 23 and 21? (a) 1 (b) 21 (c) 28 (d) 23
  2. 2.What is the median of 18, 17, 10, 16, 33, 6 and 27? (a) 19 (b) 16 (c) 17 (d) 18
  3. 3.What is the mean of 8, 13, 9, 6, 15 and 15? (a) 13 (b) 10 (c) 11 (d) 12
  4. 4.What is the mode of 12, 13, 17, 17, 17, 12 and 11? (a) 17 (b) 11 (c) 12 (d) 13
  5. 5.What is the mean of 9, 8, 4, 16 and 18? (a) 11 (b) 10 (c) 13 (d) 12
  6. 6.What is the mean of 17, 9, 2, 11 and 16? (a) 12 (b) 10 (c) 11 (d) 13
  7. 7.The mean of 6 numbers is 39. When the number 32 is added to them, what is the new mean? (a) 37 (b) 40 (c) 38 (d) 39
  8. 8.What is the mean of 15, 3, 14, 11, 6 and 5? (a) 11 (b) 9 (c) 8 (d) 10
  9. 9.What is the mode of 7, 1, 7, 18, 7, 20 and 18? (a) 1 (b) 20 (c) 7 (d) 18
  10. 10.What is the median of 8, 13, 36, 30 and 1? (a) 36 (b) 13 (c) 8 (d) 30
  11. 11.What is the median of 10, 20, 33, 30, 36, 17 and 16? (a) 20 (b) 17 (c) 21 (d) 30
  12. 12.The mean of 4 numbers is 20. When the number 25 is added to them, what is the new mean? (a) 20 (b) 22 (c) 23 (d) 21
  13. 13.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 13 (b) 19 (c) 17 (d) 16
  14. 14.What is the mean of 19, 2, 18 and 5? (a) 11 (b) 10 (c) 13 (d) 12
  15. 15.What is the mean of 16, 14, 4 and 6? (a) 10 (b) 8 (c) 9 (d) 11
  16. 16.What is the mode of 4, 4, 14, 15, 5, 15 and 15? (a) 4 (b) 15 (c) 5 (d) 14
  17. 17.What is the median of 15, 39, 11, 1 and 27? (a) 16 (b) 27 (c) 11 (d) 15
  18. 18.What is the mode of 3, 3, 9, 9, 7, 13 and 9? (a) 3 (b) 13 (c) 7 (d) 9
  19. 19.What is the median of 22, 6, 7, 33 and 30? (a) 23 (b) 22 (c) 7 (d) 30
  20. 20.What is the mode of 9, 5, 16, 5, 8, 5 and 16? (a) 9 (b) 5 (c) 8 (d) 16
  21. 21.What is the mean of 9, 10, 7, 19, 19 and 20? (a) 13 (b) 15 (c) 12 (d) 14
  22. 22.What is the mode of 17, 12, 17, 17, 20, 12 and 1? (a) 1 (b) 20 (c) 12 (d) 17
  23. 23.What is the median of 17, 13, 29, 15 and 12? (a) 29 (b) 15 (c) 17 (d) 13
  24. 24.What is the mode of 20, 20, 14, 20, 12, 14 and 11? (a) 20 (b) 12 (c) 11 (d) 14
  25. 25.The mean of 3 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 43 (b) 42 (c) 38 (d) 46
  26. 26.What is the mean of 4, 19, 20, 11 and 16? (a) 16 (b) 14 (c) 13 (d) 15
  27. 27.The mean of 3 numbers is 38. When the number 46 is added to them, what is the new mean? (a) 42 (b) 38 (c) 40 (d) 41
  28. 28.What is the median of 29, 16, 6, 9 and 19? (a) 19 (b) 6 (c) 9 (d) 16
  29. 29.What is the mode of 7, 18, 7, 7, 18, 11 and 20? (a) 7 (b) 20 (c) 18 (d) 11
  30. 30.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 10 (b) 11 (c) 12 (d) 13
  31. 31.What is the median of 1, 40, 8, 30, 18, 31 and 38? (a) 31 (b) 30 (c) 29 (d) 18
  32. 32.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 30 (b) 33 (c) 31 (d) 32
  33. 33.What is the mean of 4, 16, 2 and 6? (a) 7 (b) 6 (c) 9 (d) 8
  34. 34.The mean of 3 numbers is 24. When the number 8 is added to them, what is the new mean? (a) 21 (b) 20 (c) 24 (d) 16
  35. 35.What is the median of 34, 18, 13, 19 and 3? (a) 18 (b) 13 (c) 17 (d) 19
  36. 36.What is the mean of 2, 3, 18, 20, 16 and 7? (a) 13 (b) 10 (c) 12 (d) 11
  37. 37.What is the mean of 11, 9, 18, 11 and 11? (a) 13 (b) 10 (c) 15 (d) 12
  38. 38.What is the mean of 12, 3, 13, 18 and 24? (a) 14 (b) 15 (c) 16 (d) 13
  39. 39.What is the mode of 14, 5, 5, 5, 2, 15 and 15? (a) 2 (b) 15 (c) 5 (d) 14
  40. 40.What is the mean of 7, 10, 2, 19, 18 and 16? (a) 12 (b) 14 (c) 13 (d) 11

Answer key

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

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