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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 365 · 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.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 39 (b) 45 (c) 41 (d) 42
  2. 2.What is the mean of 5, 11, 3, 9 and 17? (a) 9 (b) 11 (c) 8 (d) 10
  3. 3.What is the median of 10, 15, 38, 31 and 27? (a) 31 (b) 38 (c) 15 (d) 27
  4. 4.What is the mean of 13, 2, 15, 11, 9 and 22? (a) 13 (b) 14 (c) 12 (d) 11
  5. 5.What is the mode of 12, 14, 2, 2, 2, 19 and 19? (a) 12 (b) 14 (c) 2 (d) 19
  6. 6.What is the mean of 11, 16, 12 and 5? (a) 12 (b) 10 (c) 11 (d) 13
  7. 7.What is the mode of 10, 11, 10, 12, 9, 9 and 9? (a) 12 (b) 11 (c) 9 (d) 10
  8. 8.What is the median of 5, 1, 30, 37 and 34? (a) 34 (b) 31 (c) 30 (d) 5
  9. 9.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 10
  10. 10.The mean of 7 numbers is 24. When the number 56 is added to them, what is the new mean? (a) 40 (b) 24 (c) 29 (d) 28
  11. 11.What is the mode of 3, 3, 7, 7, 15, 3 and 5? (a) 5 (b) 15 (c) 3 (d) 7
  12. 12.What is the median of 1, 32, 9, 37, 2, 16 and 19? (a) 16 (b) 19 (c) 37 (d) 9
  13. 13.What is the mean of 6, 7, 2 and 9? (a) 6 (b) 8 (c) 7 (d) 5
  14. 14.What is the mean of 17, 20, 8, 19 and 21? (a) 18 (b) 19 (c) 17 (d) 16
  15. 15.What is the mode of 12, 14, 2, 14, 12, 14 and 19? (a) 19 (b) 14 (c) 2 (d) 12
  16. 16.The mean of 3 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 32 (b) 31 (c) 29 (d) 33
  17. 17.What is the mean of 15, 16, 18, 12 and 9? (a) 15 (b) 13 (c) 14 (d) 16
  18. 18.What is the median of 6, 7, 10, 36, 14, 1 and 25? (a) 14 (b) 10 (c) 7 (d) 36
  19. 19.What is the mean of 8, 13, 12, 14, 17 and 8? (a) 12 (b) 11 (c) 14 (d) 13
  20. 20.What is the median of 4, 33, 14, 30 and 10? (a) 30 (b) 10 (c) 15 (d) 14
  21. 21.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 22 (b) 25 (c) 23 (d) 24
  22. 22.What is the mean of 14, 13, 10, 18, 16 and 19? (a) 16 (b) 15 (c) 18 (d) 14
  23. 23.The mean of 4 numbers is 35. When the number 45 is added to them, what is the new mean? (a) 38 (b) 40 (c) 37 (d) 35
  24. 24.What is the mode of 16, 6, 3, 4, 16, 16 and 6? (a) 6 (b) 16 (c) 4 (d) 3
  25. 25.The mean of 3 numbers is 29. When the number 45 is added to them, what is the new mean? (a) 29 (b) 34 (c) 37 (d) 33
  26. 26.What is the median of 32, 18, 9, 15 and 34? (a) 9 (b) 15 (c) 18 (d) 32
  27. 27.What is the mean of 11, 7, 19, 13 and 5? (a) 11 (b) 10 (c) 13 (d) 12
  28. 28.What is the mean of 15, 19, 4, 18 and 14? (a) 15 (b) 16 (c) 14 (d) 13
  29. 29.What is the mean of 2, 18, 11, 17 and 12? (a) 13 (b) 12 (c) 15 (d) 10
  30. 30.What is the median of 29, 34, 39, 27, 12, 15 and 17? (a) 27 (b) 17 (c) 29 (d) 28
  31. 31.What is the mode of 11, 14, 15, 11, 19, 19 and 11? (a) 15 (b) 14 (c) 11 (d) 19
  32. 32.What is the median of 14, 5, 19, 8 and 11? (a) 19 (b) 8 (c) 11 (d) 14
  33. 33.What is the mean of 8, 10, 2 and 4? (a) 7 (b) 8 (c) 5 (d) 6
  34. 34.What is the mean of 4, 17, 4, 7 and 8? (a) 10 (b) 8 (c) 7 (d) 9
  35. 35.What is the median of 16, 40, 3, 31, 18, 23 and 20? (a) 23 (b) 18 (c) 31 (d) 20
  36. 36.What is the median of 7, 10, 30, 6, 36, 2 and 32? (a) 10 (b) 7 (c) 6 (d) 30
  37. 37.The mean of 6 numbers is 37. When the number 51 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 44
  38. 38.What is the mode of 7, 4, 15, 15, 14, 4 and 4? (a) 15 (b) 7 (c) 4 (d) 14
  39. 39.What is the mode of 11, 5, 20, 17, 11, 11 and 5? (a) 11 (b) 17 (c) 20 (d) 5
  40. 40.What is the median of 40, 20, 38, 9 and 39? (a) 20 (b) 39 (c) 38 (d) 37

Answer key

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

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