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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 893 · 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 6, 33, 31, 29 and 24? (a) 24 (b) 31 (c) 29 (d) 30
  2. 2.What is the mean of 13, 11, 9, 19 and 18? (a) 13 (b) 16 (c) 15 (d) 14
  3. 3.What is the mode of 13, 8, 3, 8, 9, 8 and 13? (a) 9 (b) 3 (c) 8 (d) 13
  4. 4.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 12 (b) 22 (c) 17 (d) 16
  5. 5.What is the mode of 7, 5, 12, 4, 7, 4 and 7? (a) 7 (b) 5 (c) 4 (d) 12
  6. 6.The mean of 3 numbers is 20. When the number 28 is added to them, what is the new mean? (a) 22 (b) 20 (c) 23 (d) 24
  7. 7.What is the mode of 10, 14, 10, 8, 8, 2 and 10? (a) 14 (b) 8 (c) 10 (d) 2
  8. 8.What is the median of 27, 17, 25, 13, 2, 3 and 18? (a) 15 (b) 13 (c) 18 (d) 17
  9. 9.The mean of 7 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 34 (b) 40 (c) 32 (d) 35
  10. 10.What is the mode of 11, 4, 13, 4, 4, 8 and 11? (a) 11 (b) 4 (c) 8 (d) 13
  11. 11.What is the mean of 3, 13, 5, 3 and 21? (a) 11 (b) 9 (c) 8 (d) 10
  12. 12.What is the mode of 10, 12, 3, 10, 11, 10 and 11? (a) 11 (b) 12 (c) 3 (d) 10
  13. 13.What is the mean of 20, 3, 14, 8 and 20? (a) 15 (b) 14 (c) 13 (d) 12
  14. 14.What is the mean of 20, 9, 19, 4, 11 and 3? (a) 12 (b) 13 (c) 11 (d) 10
  15. 15.What is the median of 9, 21, 24, 17 and 8? (a) 24 (b) 9 (c) 17 (d) 21
  16. 16.What is the mean of 17, 12, 19 and 8? (a) 14 (b) 13 (c) 16 (d) 15
  17. 17.What is the mode of 17, 12, 19, 17, 8, 19 and 19? (a) 8 (b) 17 (c) 12 (d) 19
  18. 18.What is the mean of 7, 17, 9, 19 and 13? (a) 15 (b) 12 (c) 14 (d) 13
  19. 19.What is the mode of 5, 5, 2, 4, 5, 4 and 17? (a) 2 (b) 17 (c) 4 (d) 5
  20. 20.What is the mean of 3, 5, 4, 8, 18 and 16? (a) 11 (b) 9 (c) 10 (d) 8
  21. 21.What is the mean of 8, 9, 7, 8 and 8? (a) 10 (b) 7 (c) 8 (d) 9
  22. 22.The mean of 9 numbers is 26. When the number 66 is added to them, what is the new mean? (a) 31 (b) 30 (c) 26 (d) 46
  23. 23.What is the mode of 14, 11, 4, 4, 7, 7 and 4? (a) 7 (b) 4 (c) 14 (d) 11
  24. 24.The mean of 8 numbers is 30. When the number 21 is added to them, what is the new mean? (a) 29 (b) 31 (c) 28 (d) 30
  25. 25.What is the mean of 6, 10, 13, 10 and 6? (a) 11 (b) 9 (c) 10 (d) 8
  26. 26.The mean of 7 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 11 (b) 9 (c) 7 (d) 10
  27. 27.What is the mean of 14, 13, 7 and 10? (a) 13 (b) 11 (c) 10 (d) 12
  28. 28.What is the mode of 11, 14, 8, 4, 11, 14 and 11? (a) 8 (b) 11 (c) 14 (d) 4
  29. 29.What is the mean of 17, 13, 5 and 5? (a) 10 (b) 8 (c) 11 (d) 9
  30. 30.The mean of 8 numbers is 22. When the number 31 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 24
  31. 31.What is the mean of 3, 6, 17, 15, 9 and 10? (a) 11 (b) 12 (c) 10 (d) 9
  32. 32.What is the mode of 3, 2, 4, 5, 4, 5 and 5? (a) 5 (b) 2 (c) 3 (d) 4
  33. 33.What is the mean of 11, 18, 18 and 17? (a) 16 (b) 17 (c) 18 (d) 15
  34. 34.What is the mode of 17, 5, 12, 12, 15, 15 and 12? (a) 12 (b) 17 (c) 15 (d) 5
  35. 35.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 25 (b) 10 (c) 13 (d) 14
  36. 36.The mean of 7 numbers is 37. When the number 69 is added to them, what is the new mean? (a) 42 (b) 37 (c) 41 (d) 53
  37. 37.What is the mean of 2, 20, 17, 13 and 13? (a) 14 (b) 15 (c) 13 (d) 12
  38. 38.The mean of 7 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 30 (b) 33 (c) 31 (d) 29
  39. 39.The mean of 9 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 16 (b) 17 (c) 21 (d) 18
  40. 40.What is the mean of 5, 14, 18 and 15? (a) 15 (b) 13 (c) 12 (d) 14

Answer key

  1. 29
  2. 14
  3. 8
  4. 16
  5. 7
  6. 22
  7. 10
  8. 17
  9. 34
  10. 4
  11. 9
  12. 10
  13. 13
  14. 11
  15. 17
  16. 14
  17. 19
  18. 13
  19. 5
  20. 9
  21. 8
  22. 30
  23. 4
  24. 29
  25. 9
  26. 10
  27. 11
  28. 11
  29. 10
  30. 23
  31. 10
  32. 5
  33. 16
  34. 12
  35. 13
  36. 41
  37. 13
  38. 30
  39. 17
  40. 13

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