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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 47 · 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 5, 20, 20 and 15? (a) 16 (b) 15 (c) 20 (d) 12
  2. 2.What is the median of 32, 27, 19, 18 and 15? (a) 20 (b) 27 (c) 19 (d) 18
  3. 3.What is the mean of 7, 17, 11, 5, 3 and 17? (a) 10 (b) 11 (c) 9 (d) 12
  4. 4.What is the median of 40, 25, 37, 31, 4, 23 and 28? (a) 29 (b) 25 (c) 28 (d) 31
  5. 5.What is the mode of 14, 13, 6, 1, 1, 13 and 13? (a) 1 (b) 6 (c) 14 (d) 13
  6. 6.The mean of 4 numbers is 33. When the number 13 is added to them, what is the new mean? (a) 29 (b) 33 (c) 30 (d) 23
  7. 7.The mean of 7 numbers is 21. When the number 37 is added to them, what is the new mean? (a) 23 (b) 24 (c) 21 (d) 29
  8. 8.What is the mode of 11, 14, 18, 11, 17, 17 and 11? (a) 14 (b) 18 (c) 11 (d) 17
  9. 9.The mean of 8 numbers is 16. When the number 25 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 19
  10. 10.What is the mean of 6, 11, 6 and 9? (a) 8 (b) 9 (c) 10 (d) 7
  11. 11.What is the median of 7, 8, 25, 27 and 38? (a) 8 (b) 27 (c) 21 (d) 25
  12. 12.What is the mode of 11, 20, 7, 11, 6, 11 and 7? (a) 20 (b) 11 (c) 6 (d) 7
  13. 13.What is the mode of 3, 18, 18, 9, 13, 9 and 9? (a) 3 (b) 9 (c) 18 (d) 13
  14. 14.The mean of 7 numbers is 23. When the number 15 is added to them, what is the new mean? (a) 19 (b) 21 (c) 22 (d) 23
  15. 15.What is the mode of 7, 14, 7, 14, 14, 4 and 16? (a) 4 (b) 16 (c) 7 (d) 14
  16. 16.The mean of 6 numbers is 14. When the number 42 is added to them, what is the new mean? (a) 28 (b) 14 (c) 18 (d) 19
  17. 17.The mean of 6 numbers is 40. When the number 47 is added to them, what is the new mean? (a) 43 (b) 41 (c) 40 (d) 42
  18. 18.What is the mean of 9, 13, 4, 18, 14 and 20? (a) 15 (b) 12 (c) 14 (d) 13
  19. 19.What is the mode of 13, 2, 15, 17, 15, 2 and 15? (a) 17 (b) 13 (c) 15 (d) 2
  20. 20.What is the mean of 6, 19, 10, 14, 7 and 10? (a) 12 (b) 13 (c) 10 (d) 11
  21. 21.What is the median of 1, 30, 23, 14, 25, 18 and 9? (a) 14 (b) 19 (c) 18 (d) 23
  22. 22.The mean of 9 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 37 (b) 30 (c) 29 (d) 27
  23. 23.The mean of 6 numbers is 36. When the number 29 is added to them, what is the new mean? (a) 37 (b) 36 (c) 35 (d) 34
  24. 24.What is the mode of 3, 2, 2, 6, 3, 3 and 11? (a) 6 (b) 2 (c) 11 (d) 3
  25. 25.What is the mode of 17, 15, 17, 15, 2, 15 and 20? (a) 15 (b) 2 (c) 20 (d) 17
  26. 26.What is the mean of 12, 11, 20 and 17? (a) 15 (b) 12 (c) 20 (d) 16
  27. 27.What is the mean of 12, 15, 11, 18 and 19? (a) 17 (b) 15 (c) 16 (d) 14
  28. 28.What is the median of 33, 21, 6, 38 and 13? (a) 21 (b) 6 (c) 13 (d) 33
  29. 29.What is the median of 21, 24, 7, 10, 33, 17 and 8? (a) 18 (b) 10 (c) 17 (d) 21
  30. 30.What is the median of 27, 5, 36, 14, 26, 12 and 25? (a) 14 (b) 24 (c) 25 (d) 26
  31. 31.What is the mean of 10, 4, 8, 15 and 13? (a) 9 (b) 11 (c) 12 (d) 10
  32. 32.What is the median of 34, 18, 10, 19 and 17? (a) 17 (b) 19 (c) 10 (d) 18
  33. 33.What is the mean of 9, 10, 7 and 14? (a) 10 (b) 11 (c) 8 (d) 9
  34. 34.What is the mode of 15, 15, 15, 11, 13, 5 and 5? (a) 13 (b) 15 (c) 5 (d) 11
  35. 35.What is the median of 27, 28, 5, 2 and 7? (a) 7 (b) 8 (c) 5 (d) 27
  36. 36.What is the mean of 16, 5, 19, 13 and 7? (a) 13 (b) 12 (c) 10 (d) 15
  37. 37.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 12
  38. 38.The mean of 9 numbers is 39. When the number 29 is added to them, what is the new mean? (a) 38 (b) 39 (c) 34 (d) 37
  39. 39.What is the mean of 8, 6, 15, 5, 6 and 8? (a) 8 (b) 9 (c) 7 (d) 10
  40. 40.What is the mode of 11, 9, 9, 8, 17, 9 and 8? (a) 9 (b) 8 (c) 11 (d) 17

Answer key

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

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