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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 659 · 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 14, 20, 20, 17 and 9? (a) 15 (b) 16 (c) 20 (d) 17
  2. 2.What is the mode of 17, 14, 12, 15, 14, 14 and 12? (a) 15 (b) 12 (c) 17 (d) 14
  3. 3.What is the mean of 4, 4, 7 and 9? (a) 6 (b) 8 (c) 7 (d) 5
  4. 4.The mean of 5 numbers is 15. When the number 3 is added to them, what is the new mean? (a) 13 (b) 9 (c) 14 (d) 15
  5. 5.What is the mean of 12, 19, 15 and 6? (a) 12 (b) 13 (c) 14 (d) 15
  6. 6.What is the median of 32, 23, 27, 21, 8, 4 and 33? (a) 27 (b) 24 (c) 21 (d) 23
  7. 7.What is the median of 20, 40, 27, 25, 35, 6 and 5? (a) 27 (b) 26 (c) 20 (d) 25
  8. 8.What is the mean of 3, 17, 12, 16 and 7? (a) 10 (b) 12 (c) 11 (d) 13
  9. 9.The mean of 8 numbers is 11. When the number 47 is added to them, what is the new mean? (a) 15 (b) 16 (c) 29 (d) 11
  10. 10.The mean of 4 numbers is 10. When the number 5 is added to them, what is the new mean? (a) 10 (b) 11 (c) 8 (d) 9
  11. 11.What is the median of 22, 38, 8, 19, 20, 1 and 31? (a) 19 (b) 21 (c) 22 (d) 20
  12. 12.The mean of 3 numbers is 28. When the number 36 is added to them, what is the new mean? (a) 28 (b) 31 (c) 32 (d) 30
  13. 13.What is the mode of 14, 14, 14, 19, 8, 20 and 20? (a) 19 (b) 8 (c) 14 (d) 20
  14. 14.What is the mode of 13, 17, 17, 19, 19, 20 and 19? (a) 17 (b) 19 (c) 20 (d) 13
  15. 15.What is the median of 14, 22, 37, 28 and 27? (a) 27 (b) 37 (c) 22 (d) 28
  16. 16.What is the mean of 17, 14, 19 and 6? (a) 16 (b) 14 (c) 15 (d) 13
  17. 17.What is the mean of 13, 18, 2, 18, 20 and 7? (a) 12 (b) 14 (c) 15 (d) 13
  18. 18.What is the mean of 13, 16, 19, 11 and 11? (a) 13 (b) 16 (c) 15 (d) 14
  19. 19.What is the mode of 3, 20, 18, 15, 3, 15 and 3? (a) 18 (b) 20 (c) 3 (d) 15
  20. 20.What is the mean of 15, 18, 2, 14, 15 and 14? (a) 13 (b) 14 (c) 12 (d) 15
  21. 21.What is the mode of 5, 5, 19, 9, 8, 19 and 19? (a) 5 (b) 19 (c) 8 (d) 9
  22. 22.What is the mean of 17, 3, 20 and 4? (a) 10 (b) 11 (c) 13 (d) 12
  23. 23.What is the median of 1, 3, 6, 15 and 27? (a) 3 (b) 6 (c) 7 (d) 15
  24. 24.The mean of 7 numbers is 33. When the number 41 is added to them, what is the new mean? (a) 37 (b) 35 (c) 33 (d) 34
  25. 25.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 18 (b) 23 (c) 21 (d) 20
  26. 26.What is the mode of 9, 15, 15, 11, 13, 11 and 15? (a) 11 (b) 9 (c) 13 (d) 15
  27. 27.What is the mode of 9, 1, 17, 16, 17, 17 and 1? (a) 16 (b) 9 (c) 1 (d) 17
  28. 28.What is the median of 7, 20, 35, 27 and 38? (a) 20 (b) 35 (c) 27 (d) 28
  29. 29.What is the mean of 2, 11, 5, 11, 19 and 12? (a) 10 (b) 9 (c) 11 (d) 12
  30. 30.What is the mean of 11, 11, 10, 2 and 21? (a) 11 (b) 10 (c) 12 (d) 13
  31. 31.What is the mean of 13, 18, 6, 20 and 18? (a) 15 (b) 16 (c) 17 (d) 14
  32. 32.What is the mean of 5, 20, 6, 4, 2 and 11? (a) 10 (b) 8 (c) 9 (d) 7
  33. 33.What is the median of 33, 18, 14, 23, 28, 12 and 3? (a) 14 (b) 19 (c) 18 (d) 23
  34. 34.What is the mean of 2, 18, 10, 2 and 8? (a) 10 (b) 7 (c) 9 (d) 8
  35. 35.What is the median of 39, 33, 5, 7, 8, 28 and 13? (a) 28 (b) 7 (c) 13 (d) 19
  36. 36.The mean of 8 numbers is 33. When the number 69 is added to them, what is the new mean? (a) 33 (b) 38 (c) 37 (d) 51
  37. 37.What is the mean of 20, 9, 4 and 23? (a) 14 (b) 13 (c) 15 (d) 16
  38. 38.What is the mean of 17, 3, 19, 19 and 12? (a) 16 (b) 13 (c) 14 (d) 15
  39. 39.What is the mean of 18, 5, 4, 9 and 19? (a) 10 (b) 13 (c) 11 (d) 12
  40. 40.What is the median of 4, 7, 20, 23, 34, 1 and 9? (a) 9 (b) 20 (c) 14 (d) 23

Answer key

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

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