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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 610 · 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 median of 30, 3, 24, 33, 1, 2 and 11? (a) 33 (b) 24 (c) 3 (d) 11
  2. 2.What is the mode of 13, 13, 15, 2, 10, 15 and 13? (a) 2 (b) 10 (c) 13 (d) 15
  3. 3.What is the mean of 10, 13, 7, 8 and 22? (a) 10 (b) 15 (c) 12 (d) 13
  4. 4.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 18 (b) 22 (c) 30 (d) 23
  5. 5.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 12 (b) 14 (c) 15 (d) 13
  6. 6.What is the median of 29, 6, 33, 23 and 20? (a) 33 (b) 20 (c) 29 (d) 23
  7. 7.What is the median of 21, 30, 39, 13 and 26? (a) 21 (b) 30 (c) 39 (d) 26
  8. 8.What is the mode of 8, 18, 13, 13, 16, 16 and 16? (a) 16 (b) 18 (c) 8 (d) 13
  9. 9.The mean of 9 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 40 (b) 39 (c) 44 (d) 41
  10. 10.What is the mode of 16, 15, 15, 14, 16, 18 and 16? (a) 18 (b) 15 (c) 16 (d) 14
  11. 11.What is the mean of 13, 4, 20, 6 and 12? (a) 12 (b) 13 (c) 10 (d) 11
  12. 12.The mean of 6 numbers is 19. When the number 33 is added to them, what is the new mean? (a) 22 (b) 21 (c) 19 (d) 26
  13. 13.The mean of 3 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 28 (c) 31 (d) 29
  14. 14.The mean of 6 numbers is 39. When the number 11 is added to them, what is the new mean? (a) 39 (b) 36 (c) 25 (d) 35
  15. 15.What is the median of 3, 33, 24, 23, 4, 30 and 35? (a) 30 (b) 24 (c) 25 (d) 23
  16. 16.The mean of 6 numbers is 40. When the number 33 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 41
  17. 17.What is the mode of 12, 7, 19, 11, 19, 7 and 19? (a) 11 (b) 19 (c) 12 (d) 7
  18. 18.What is the median of 22, 3, 5, 30 and 35? (a) 30 (b) 22 (c) 19 (d) 5
  19. 19.What is the median of 31, 10, 32, 12, 40, 27 and 17? (a) 27 (b) 31 (c) 12 (d) 17
  20. 20.What is the mean of 20, 8, 16 and 8? (a) 12 (b) 14 (c) 13 (d) 15
  21. 21.What is the mode of 4, 18, 11, 4, 11, 11 and 19? (a) 4 (b) 19 (c) 18 (d) 11
  22. 22.What is the mean of 9, 9, 18, 11, 2 and 17? (a) 13 (b) 10 (c) 12 (d) 11
  23. 23.What is the median of 40, 4, 28, 11, 25, 3 and 26? (a) 25 (b) 11 (c) 24 (d) 26
  24. 24.What is the mean of 11, 13, 20, 20 and 6? (a) 15 (b) 13 (c) 16 (d) 14
  25. 25.What is the median of 34, 38, 35, 10, 23, 18 and 25? (a) 25 (b) 34 (c) 23 (d) 10
  26. 26.The mean of 3 numbers is 24. When the number 12 is added to them, what is the new mean? (a) 22 (b) 18 (c) 24 (d) 21
  27. 27.What is the mean of 10, 9, 3, 18 and 20? (a) 12 (b) 13 (c) 10 (d) 15
  28. 28.The mean of 3 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 13 (b) 17 (c) 19 (d) 16
  29. 29.What is the mode of 16, 10, 13, 7, 13, 7 and 7? (a) 16 (b) 7 (c) 13 (d) 10
  30. 30.What is the mean of 4, 11, 11, 14, 10 and 16? (a) 12 (b) 11 (c) 13 (d) 10
  31. 31.The mean of 4 numbers is 18. When the number 23 is added to them, what is the new mean? (a) 21 (b) 18 (c) 20 (d) 19
  32. 32.What is the mode of 4, 4, 18, 2, 16, 4 and 2? (a) 16 (b) 18 (c) 2 (d) 4
  33. 33.What is the median of 24, 13, 26, 33, 5, 17 and 10? (a) 13 (b) 33 (c) 24 (d) 17
  34. 34.What is the mean of 4, 19, 2 and 19? (a) 12 (b) 13 (c) 11 (d) 10
  35. 35.What is the mode of 2, 13, 18, 3, 13, 18 and 18? (a) 3 (b) 2 (c) 13 (d) 18
  36. 36.What is the median of 22, 17, 1, 10 and 40? (a) 18 (b) 1 (c) 22 (d) 17
  37. 37.What is the mean of 2, 17, 14, 6, 17 and 16? (a) 12 (b) 13 (c) 11 (d) 14
  38. 38.The mean of 3 numbers is 13. When the number 25 is added to them, what is the new mean? (a) 17 (b) 19 (c) 16 (d) 13
  39. 39.What is the mean of 2, 15, 2 and 17? (a) 12 (b) 8 (c) 9 (d) 10
  40. 40.What is the mode of 13, 13, 20, 6, 13, 15 and 20? (a) 6 (b) 13 (c) 15 (d) 20

Answer key

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

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