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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 5 · 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 10, 7, 17 and 18? (a) 12 (b) 14 (c) 13 (d) 15
  2. 2.What is the mean of 6, 3, 4, 5, 9 and 15? (a) 7 (b) 9 (c) 8 (d) 6
  3. 3.What is the mean of 5, 15, 5 and 11? (a) 12 (b) 10 (c) 8 (d) 9
  4. 4.What is the mode of 15, 15, 12, 10, 15, 4 and 4? (a) 10 (b) 4 (c) 15 (d) 12
  5. 5.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 37
  6. 6.The mean of 5 numbers is 25. When the number 19 is added to them, what is the new mean? (a) 23 (b) 22 (c) 24 (d) 25
  7. 7.What is the mode of 17, 15, 8, 7, 7, 17 and 7? (a) 17 (b) 8 (c) 7 (d) 15
  8. 8.The mean of 3 numbers is 40. When the number 28 is added to them, what is the new mean? (a) 34 (b) 40 (c) 37 (d) 38
  9. 9.What is the mode of 14, 4, 2, 2, 6, 14 and 14? (a) 6 (b) 14 (c) 2 (d) 4
  10. 10.What is the mode of 10, 15, 9, 14, 10, 10 and 9? (a) 10 (b) 9 (c) 15 (d) 14
  11. 11.The mean of 6 numbers is 40. When the number 19 is added to them, what is the new mean? (a) 36 (b) 40 (c) 37 (d) 38
  12. 12.What is the mode of 6, 2, 2, 2, 6, 19 and 12? (a) 6 (b) 2 (c) 19 (d) 12
  13. 13.What is the mean of 4, 10, 18, 20 and 3? (a) 11 (b) 12 (c) 13 (d) 10
  14. 14.What is the mode of 11, 11, 15, 10, 11, 7 and 15? (a) 10 (b) 7 (c) 15 (d) 11
  15. 15.What is the median of 36, 28, 3, 35, 19, 12 and 37? (a) 28 (b) 35 (c) 19 (d) 29
  16. 16.What is the median of 4, 30, 12, 35 and 2? (a) 4 (b) 13 (c) 30 (d) 12
  17. 17.What is the mean of 3, 6, 2, 6 and 18? (a) 6 (b) 7 (c) 8 (d) 9
  18. 18.What is the mean of 19, 19, 6 and 12? (a) 16 (b) 13 (c) 14 (d) 15
  19. 19.The mean of 9 numbers is 19. When the number 59 is added to them, what is the new mean? (a) 23 (b) 19 (c) 24 (d) 39
  20. 20.What is the median of 38, 37, 13, 1 and 10? (a) 10 (b) 13 (c) 37 (d) 14
  21. 21.What is the mode of 4, 18, 3, 8, 4, 8 and 8? (a) 4 (b) 8 (c) 18 (d) 3
  22. 22.What is the median of 26, 10, 38, 30 and 13? (a) 13 (b) 38 (c) 30 (d) 26
  23. 23.What is the median of 15, 22, 27, 33 and 12? (a) 23 (b) 27 (c) 15 (d) 22
  24. 24.What is the mode of 16, 16, 19, 16, 3, 14 and 14? (a) 14 (b) 3 (c) 19 (d) 16
  25. 25.What is the mean of 7, 18, 13 and 10? (a) 16 (b) 13 (c) 12 (d) 11
  26. 26.The mean of 9 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 14 (b) 13 (c) 11 (d) 21
  27. 27.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 23 (b) 29 (c) 24 (d) 19
  28. 28.What is the mean of 19, 20, 5, 9 and 22? (a) 15 (b) 17 (c) 16 (d) 14
  29. 29.What is the mean of 19, 7, 16 and 18? (a) 20 (b) 16 (c) 12 (d) 15
  30. 30.What is the mode of 15, 14, 3, 2, 14, 14 and 15? (a) 14 (b) 2 (c) 15 (d) 3
  31. 31.What is the mode of 12, 8, 8, 16, 16, 6 and 16? (a) 6 (b) 16 (c) 12 (d) 8
  32. 32.The mean of 8 numbers is 37. When the number 1 is added to them, what is the new mean? (a) 33 (b) 37 (c) 34 (d) 19
  33. 33.What is the median of 25, 27, 24, 40, 6, 11 and 28? (a) 23 (b) 40 (c) 25 (d) 27
  34. 34.The mean of 8 numbers is 21. When the number 30 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 24
  35. 35.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 24 (b) 20 (c) 21 (d) 14
  36. 36.The mean of 5 numbers is 19. When the number 37 is added to them, what is the new mean? (a) 28 (b) 19 (c) 22 (d) 23
  37. 37.What is the median of 3, 15, 6, 9, 7, 5 and 28? (a) 6 (b) 8 (c) 9 (d) 7
  38. 38.What is the mode of 4, 1, 19, 4, 20, 4 and 19? (a) 1 (b) 19 (c) 20 (d) 4
  39. 39.What is the mean of 2, 4, 3, 16 and 15? (a) 7 (b) 8 (c) 10 (d) 9
  40. 40.What is the mode of 3, 6, 6, 3, 3, 13 and 16? (a) 6 (b) 16 (c) 13 (d) 3

Answer key

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

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