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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 230 · 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 mode of 18, 1, 13, 16, 18, 16 and 16? (a) 1 (b) 13 (c) 18 (d) 16
  2. 2.The mean of 9 numbers is 31. When the number 71 is added to them, what is the new mean? (a) 51 (b) 35 (c) 31 (d) 36
  3. 3.What is the mode of 11, 19, 2, 19, 2, 6 and 19? (a) 2 (b) 19 (c) 6 (d) 11
  4. 4.What is the mean of 18, 7, 20, 19 and 6? (a) 15 (b) 16 (c) 13 (d) 14
  5. 5.What is the median of 19, 37, 31, 17 and 33? (a) 19 (b) 31 (c) 33 (d) 32
  6. 6.What is the median of 11, 8, 26, 2, 39, 3 and 1? (a) 3 (b) 2 (c) 8 (d) 11
  7. 7.What is the mean of 18, 7, 16, 11, 15 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  8. 8.What is the mean of 18, 14, 9, 5, 14 and 24? (a) 12 (b) 15 (c) 13 (d) 14
  9. 9.What is the mean of 15, 7, 5, 9, 3 and 3? (a) 6 (b) 7 (c) 8 (d) 9
  10. 10.What is the mean of 5, 3, 8 and 16? (a) 9 (b) 7 (c) 10 (d) 8
  11. 11.What is the mean of 6, 5, 2 and 19? (a) 7 (b) 8 (c) 10 (d) 9
  12. 12.What is the mode of 9, 6, 11, 9, 6, 9 and 3? (a) 6 (b) 11 (c) 9 (d) 3
  13. 13.What is the mean of 8, 9, 6 and 13? (a) 8 (b) 12 (c) 10 (d) 9
  14. 14.What is the median of 30, 2, 38, 22 and 35? (a) 38 (b) 35 (c) 30 (d) 22
  15. 15.What is the mean of 6, 6, 7, 9 and 17? (a) 9 (b) 10 (c) 8 (d) 11
  16. 16.The mean of 7 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 29 (b) 33 (c) 41 (d) 32
  17. 17.What is the mean of 11, 7, 16, 20, 17 and 19? (a) 15 (b) 18 (c) 16 (d) 14
  18. 18.What is the median of 21, 29, 8, 39 and 9? (a) 21 (b) 8 (c) 9 (d) 29
  19. 19.What is the mode of 3, 17, 16, 5, 5, 16 and 5? (a) 5 (b) 16 (c) 3 (d) 17
  20. 20.What is the mean of 15, 3, 2 and 12? (a) 9 (b) 10 (c) 7 (d) 8
  21. 21.What is the median of 17, 38, 28, 32 and 21? (a) 21 (b) 28 (c) 29 (d) 32
  22. 22.What is the median of 25, 12, 19, 37 and 30? (a) 25 (b) 30 (c) 26 (d) 19
  23. 23.What is the mode of 10, 20, 18, 6, 10, 20 and 10? (a) 20 (b) 18 (c) 6 (d) 10
  24. 24.What is the mode of 7, 3, 9, 9, 16, 3 and 9? (a) 7 (b) 16 (c) 3 (d) 9
  25. 25.What is the mode of 8, 14, 18, 3, 14, 8 and 8? (a) 3 (b) 14 (c) 8 (d) 18
  26. 26.The mean of 3 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 39 (b) 37 (c) 36 (d) 33
  27. 27.What is the median of 12, 18, 33, 38 and 27? (a) 33 (b) 27 (c) 28 (d) 18
  28. 28.The mean of 3 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 37 (b) 38 (c) 33 (d) 41
  29. 29.What is the mean of 14, 20, 19 and 15? (a) 19 (b) 17 (c) 16 (d) 18
  30. 30.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 37 (b) 36 (c) 29 (d) 38
  31. 31.What is the mean of 2, 19, 19 and 8? (a) 13 (b) 12 (c) 16 (d) 11
  32. 32.What is the mean of 8, 13, 17, 15 and 2? (a) 13 (b) 12 (c) 11 (d) 10
  33. 33.What is the median of 27, 23, 29, 39 and 3? (a) 29 (b) 27 (c) 23 (d) 28
  34. 34.The mean of 3 numbers is 37. When the number 33 is added to them, what is the new mean? (a) 35 (b) 37 (c) 36 (d) 38
  35. 35.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 39 (b) 37 (c) 40 (d) 38
  36. 36.What is the median of 17, 28, 14, 18 and 26? (a) 14 (b) 17 (c) 26 (d) 18
  37. 37.What is the median of 35, 30, 34, 14, 40, 17 and 20? (a) 30 (b) 20 (c) 14 (d) 34
  38. 38.What is the mode of 12, 17, 1, 12, 20, 1 and 12? (a) 12 (b) 20 (c) 1 (d) 17
  39. 39.The mean of 8 numbers is 15. When the number 42 is added to them, what is the new mean? (a) 17 (b) 15 (c) 19 (d) 18
  40. 40.What is the mean of 13, 17, 16, 15, 4 and 7? (a) 11 (b) 13 (c) 14 (d) 12

Answer key

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

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