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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 460 · 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 20, 8, 20, 17, 17, 18 and 17? (a) 8 (b) 17 (c) 20 (d) 18
  2. 2.What is the mean of 9, 9, 3, 14, 2 and 17? (a) 8 (b) 9 (c) 11 (d) 10
  3. 3.What is the mode of 6, 13, 13, 7, 7, 4 and 7? (a) 4 (b) 6 (c) 13 (d) 7
  4. 4.What is the median of 32, 23, 31, 12 and 22? (a) 31 (b) 24 (c) 22 (d) 23
  5. 5.What is the median of 19, 23, 16, 27 and 6? (a) 20 (b) 23 (c) 16 (d) 19
  6. 6.What is the median of 33, 19, 8, 7 and 13? (a) 13 (b) 19 (c) 8 (d) 16
  7. 7.The mean of 8 numbers is 18. When the number 9 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 16
  8. 8.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 31 (b) 32 (c) 30 (d) 34
  9. 9.What is the mode of 13, 4, 3, 13, 3, 20 and 13? (a) 20 (b) 13 (c) 4 (d) 3
  10. 10.What is the mean of 4, 15, 6 and 23? (a) 12 (b) 13 (c) 11 (d) 16
  11. 11.The mean of 8 numbers is 29. When the number 11 is added to them, what is the new mean? (a) 28 (b) 27 (c) 20 (d) 29
  12. 12.What is the mean of 12, 18, 5, 17 and 3? (a) 10 (b) 11 (c) 13 (d) 12
  13. 13.What is the mode of 4, 10, 2, 2, 2, 4 and 16? (a) 10 (b) 16 (c) 4 (d) 2
  14. 14.What is the mode of 10, 14, 5, 13, 13, 10 and 13? (a) 14 (b) 5 (c) 10 (d) 13
  15. 15.What is the mean of 15, 12, 19, 9 and 15? (a) 15 (b) 13 (c) 16 (d) 14
  16. 16.What is the median of 24, 29, 1, 22 and 23? (a) 22 (b) 1 (c) 24 (d) 23
  17. 17.What is the mean of 19, 7, 18, 11, 14 and 21? (a) 18 (b) 16 (c) 14 (d) 15
  18. 18.What is the median of 21, 10, 29, 13 and 6? (a) 21 (b) 13 (c) 29 (d) 10
  19. 19.The mean of 3 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 30 (b) 26 (c) 22 (d) 27
  20. 20.What is the median of 3, 9, 11, 38, 13, 5 and 10? (a) 9 (b) 11 (c) 10 (d) 38
  21. 21.What is the mode of 17, 6, 8, 6, 17, 6 and 12? (a) 8 (b) 6 (c) 12 (d) 17
  22. 22.The mean of 9 numbers is 39. When the number 9 is added to them, what is the new mean? (a) 24 (b) 37 (c) 39 (d) 36
  23. 23.What is the median of 20, 32, 30, 23, 35, 10 and 29? (a) 29 (b) 28 (c) 23 (d) 30
  24. 24.What is the mean of 2, 20, 4, 2 and 17? (a) 8 (b) 9 (c) 10 (d) 11
  25. 25.What is the median of 12, 7, 38, 29, 13, 31 and 11? (a) 14 (b) 12 (c) 13 (d) 29
  26. 26.What is the mode of 18, 1, 18, 1, 13, 7 and 1? (a) 1 (b) 7 (c) 18 (d) 13
  27. 27.The mean of 5 numbers is 30. When the number 48 is added to them, what is the new mean? (a) 30 (b) 33 (c) 34 (d) 39
  28. 28.What is the mode of 15, 15, 7, 15, 7, 10 and 11? (a) 11 (b) 7 (c) 15 (d) 10
  29. 29.What is the mode of 6, 17, 9, 6, 10, 17 and 6? (a) 6 (b) 17 (c) 9 (d) 10
  30. 30.What is the median of 15, 11, 20, 28 and 12? (a) 20 (b) 16 (c) 15 (d) 12
  31. 31.What is the median of 6, 40, 36, 26 and 30? (a) 31 (b) 26 (c) 30 (d) 36
  32. 32.What is the mean of 19, 15, 18, 6 and 7? (a) 15 (b) 13 (c) 12 (d) 14
  33. 33.What is the mode of 15, 1, 15, 1, 1, 16 and 10? (a) 15 (b) 10 (c) 16 (d) 1
  34. 34.What is the mean of 13, 19, 20 and 12? (a) 18 (b) 15 (c) 16 (d) 17
  35. 35.What is the mean of 5, 4, 16, 8 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  36. 36.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 10 (b) 12 (c) 11 (d) 13
  37. 37.What is the mean of 19, 8, 8, 5, 7 and 19? (a) 11 (b) 13 (c) 10 (d) 12
  38. 38.The mean of 3 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 15 (b) 13 (c) 11 (d) 14
  39. 39.The mean of 3 numbers is 38. When the number 30 is added to them, what is the new mean? (a) 34 (b) 38 (c) 37 (d) 36
  40. 40.What is the mode of 20, 10, 11, 20, 4, 4 and 20? (a) 20 (b) 10 (c) 4 (d) 11

Answer key

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

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