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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 114 · 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 20, 32, 10, 35 and 33? (a) 10 (b) 26 (c) 33 (d) 32
  2. 2.What is the mean of 20, 15, 11, 9, 2 and 9? (a) 10 (b) 11 (c) 12 (d) 13
  3. 3.What is the mean of 4, 8, 18 and 18? (a) 13 (b) 16 (c) 11 (d) 12
  4. 4.What is the mean of 11, 9, 20 and 4? (a) 11 (b) 12 (c) 13 (d) 10
  5. 5.The mean of 4 numbers is 21. When the number 41 is added to them, what is the new mean? (a) 25 (b) 31 (c) 21 (d) 26
  6. 6.What is the median of 26, 33, 28, 2 and 24? (a) 27 (b) 26 (c) 28 (d) 24
  7. 7.What is the mean of 14, 5, 13, 10 and 18? (a) 13 (b) 15 (c) 10 (d) 12
  8. 8.What is the mode of 9, 7, 9, 5, 9, 3 and 5? (a) 3 (b) 5 (c) 9 (d) 7
  9. 9.What is the mean of 3, 20, 4, 7 and 16? (a) 12 (b) 10 (c) 9 (d) 11
  10. 10.What is the mode of 5, 19, 20, 20, 3, 3 and 20? (a) 5 (b) 3 (c) 19 (d) 20
  11. 11.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 20 (b) 21 (c) 19 (d) 18
  12. 12.What is the median of 35, 36, 1, 39, 37, 13 and 38? (a) 39 (b) 37 (c) 36 (d) 35
  13. 13.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 19 (b) 17 (c) 15 (d) 18
  14. 14.What is the mode of 6, 15, 11, 17, 15, 11 and 11? (a) 15 (b) 17 (c) 6 (d) 11
  15. 15.The mean of 6 numbers is 31. When the number 59 is added to them, what is the new mean? (a) 45 (b) 35 (c) 31 (d) 36
  16. 16.What is the mean of 12, 3, 19 and 14? (a) 13 (b) 16 (c) 12 (d) 11
  17. 17.What is the mode of 3, 4, 4, 4, 11, 10 and 3? (a) 10 (b) 3 (c) 11 (d) 4
  18. 18.The mean of 3 numbers is 33. When the number 45 is added to them, what is the new mean? (a) 33 (b) 36 (c) 39 (d) 37
  19. 19.What is the mode of 5, 9, 16, 16, 5, 1 and 5? (a) 9 (b) 1 (c) 16 (d) 5
  20. 20.The mean of 5 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 14 (b) 8 (c) 13 (d) 12
  21. 21.The mean of 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 27 (b) 28 (c) 23 (d) 29
  22. 22.What is the mean of 5, 20, 16, 13 and 6? (a) 12 (b) 13 (c) 10 (d) 15
  23. 23.What is the mean of 16, 3, 20, 3 and 13? (a) 12 (b) 13 (c) 10 (d) 11
  24. 24.What is the mean of 3, 4, 15, 5, 19 and 2? (a) 7 (b) 8 (c) 9 (d) 10
  25. 25.What is the mean of 10, 5, 20, 8 and 7? (a) 10 (b) 11 (c) 12 (d) 9
  26. 26.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 14 (b) 9 (c) 12 (d) 13
  27. 27.What is the mean of 14, 5, 4 and 5? (a) 7 (b) 8 (c) 9 (d) 6
  28. 28.What is the mean of 16, 16, 12, 9, 5 and 14? (a) 12 (b) 13 (c) 11 (d) 14
  29. 29.What is the median of 7, 36, 4, 8, 34, 20 and 12? (a) 13 (b) 8 (c) 20 (d) 12
  30. 30.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 16 (b) 15 (c) 12 (d) 14
  31. 31.What is the mean of 11, 3, 14, 13 and 9? (a) 11 (b) 9 (c) 10 (d) 12
  32. 32.What is the mean of 6, 15, 2, 16 and 11? (a) 12 (b) 10 (c) 9 (d) 11
  33. 33.What is the mean of 3, 17, 12, 12, 12 and 10? (a) 12 (b) 11 (c) 10 (d) 13
  34. 34.What is the median of 40, 20, 38, 37 and 3? (a) 36 (b) 20 (c) 38 (d) 37
  35. 35.The mean of 8 numbers is 20. When the number 47 is added to them, what is the new mean? (a) 24 (b) 22 (c) 20 (d) 23
  36. 36.What is the mode of 13, 11, 10, 13, 13, 15 and 15? (a) 11 (b) 13 (c) 15 (d) 10
  37. 37.The mean of 6 numbers is 11. When the number 25 is added to them, what is the new mean? (a) 11 (b) 18 (c) 14 (d) 13
  38. 38.What is the mode of 7, 16, 20, 7, 17, 7 and 16? (a) 20 (b) 16 (c) 17 (d) 7
  39. 39.What is the mode of 5, 16, 16, 5, 12, 5 and 10? (a) 12 (b) 5 (c) 10 (d) 16
  40. 40.The mean of 9 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 26 (b) 22 (c) 27 (d) 25

Answer key

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

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