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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 585 · 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 3, 9, 20, 1, 1, 1 and 3? (a) 9 (b) 1 (c) 20 (d) 3
  2. 2.What is the mean of 9, 15, 18 and 14? (a) 13 (b) 14 (c) 15 (d) 16
  3. 3.What is the mean of 18, 5, 11 and 6? (a) 8 (b) 9 (c) 10 (d) 11
  4. 4.What is the mean of 4, 16, 12 and 8? (a) 9 (b) 11 (c) 8 (d) 10
  5. 5.What is the median of 24, 9, 10, 33, 39, 7 and 20? (a) 10 (b) 20 (c) 33 (d) 24
  6. 6.What is the mean of 9, 3, 3, 8, 16 and 9? (a) 8 (b) 7 (c) 9 (d) 10
  7. 7.The mean of 5 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 30
  8. 8.What is the mode of 15, 5, 15, 17, 17, 13 and 17? (a) 13 (b) 5 (c) 17 (d) 15
  9. 9.The mean of 3 numbers is 11. When the number 19 is added to them, what is the new mean? (a) 15 (b) 14 (c) 11 (d) 13
  10. 10.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 18 (b) 23 (c) 30 (d) 22
  11. 11.What is the median of 5, 21, 17, 37, 24, 18 and 34? (a) 21 (b) 24 (c) 37 (d) 18
  12. 12.What is the mode of 5, 3, 8, 12, 3, 5 and 3? (a) 12 (b) 5 (c) 3 (d) 8
  13. 13.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 10 (b) 13 (c) 14 (d) 25
  14. 14.What is the median of 20, 18, 32, 15 and 12? (a) 32 (b) 15 (c) 18 (d) 20
  15. 15.The mean of 3 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 27 (b) 24 (c) 25 (d) 21
  16. 16.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 31 (b) 49 (c) 36 (d) 35
  17. 17.What is the median of 38, 35, 40, 7, 30, 8 and 31? (a) 35 (b) 27 (c) 7 (d) 31
  18. 18.The mean of 8 numbers is 36. When the number 9 is added to them, what is the new mean? (a) 32 (b) 36 (c) 34 (d) 33
  19. 19.What is the mean of 12, 5, 2, 4 and 17? (a) 8 (b) 7 (c) 9 (d) 10
  20. 20.What is the mean of 2, 3, 11, 7, 15 and 10? (a) 9 (b) 7 (c) 8 (d) 10
  21. 21.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 25
  22. 22.What is the median of 26, 37, 5, 28, 19, 30 and 23? (a) 28 (b) 23 (c) 26 (d) 24
  23. 23.What is the mode of 19, 18, 10, 19, 17, 18 and 19? (a) 18 (b) 10 (c) 17 (d) 19
  24. 24.What is the median of 12, 17, 8, 24 and 1? (a) 17 (b) 12 (c) 13 (d) 8
  25. 25.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 26 (b) 30 (c) 32 (d) 29
  26. 26.What is the mean of 17, 6, 17, 2, 13 and 11? (a) 10 (b) 11 (c) 12 (d) 13
  27. 27.What is the mean of 13, 16, 17, 9, 20 and 21? (a) 17 (b) 16 (c) 18 (d) 15
  28. 28.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 38 (b) 44 (c) 39 (d) 34
  29. 29.What is the mode of 5, 9, 6, 5, 5, 15 and 6? (a) 9 (b) 15 (c) 5 (d) 6
  30. 30.The mean of 5 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 27
  31. 31.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 37 (b) 34 (c) 36 (d) 35
  32. 32.The mean of 7 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 29 (b) 26 (c) 34 (d) 28
  33. 33.What is the mode of 19, 11, 11, 16, 3, 16 and 11? (a) 19 (b) 3 (c) 11 (d) 16
  34. 34.What is the median of 10, 2, 32, 33 and 18? (a) 18 (b) 32 (c) 10 (d) 19
  35. 35.What is the mode of 20, 20, 20, 12, 17, 17 and 9? (a) 9 (b) 12 (c) 20 (d) 17
  36. 36.What is the median of 20, 39, 17, 21 and 3? (a) 19 (b) 20 (c) 17 (d) 21
  37. 37.What is the mean of 4, 15, 5 and 8? (a) 9 (b) 8 (c) 10 (d) 7
  38. 38.What is the mean of 2, 13, 14, 18, 3 and 16? (a) 10 (b) 12 (c) 13 (d) 11
  39. 39.What is the median of 13, 20, 27, 19 and 24? (a) 27 (b) 20 (c) 19 (d) 24
  40. 40.What is the mode of 5, 2, 5, 2, 11, 1 and 5? (a) 2 (b) 5 (c) 11 (d) 1

Answer key

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

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