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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 581 · 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 27, 26, 13, 7, 1, 6 and 38? (a) 26 (b) 14 (c) 13 (d) 7
  2. 2.What is the median of 8, 19, 26, 38 and 10? (a) 10 (b) 26 (c) 20 (d) 19
  3. 3.What is the mean of 14, 8, 18, 6 and 9? (a) 11 (b) 13 (c) 10 (d) 12
  4. 4.What is the mean of 3, 10, 17, 5, 10 and 3? (a) 9 (b) 8 (c) 7 (d) 10
  5. 5.What is the mean of 19, 11, 8, 4 and 8? (a) 12 (b) 10 (c) 9 (d) 11
  6. 6.What is the mode of 10, 7, 8, 3, 7, 8 and 7? (a) 7 (b) 8 (c) 10 (d) 3
  7. 7.What is the mean of 7, 8, 12 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  8. 8.What is the mode of 3, 14, 3, 6, 7, 3 and 7? (a) 6 (b) 3 (c) 7 (d) 14
  9. 9.What is the mean of 18, 4, 7, 2 and 19? (a) 9 (b) 12 (c) 11 (d) 10
  10. 10.What is the median of 24, 29, 10, 1, 13, 34 and 12? (a) 13 (b) 24 (c) 1 (d) 12
  11. 11.What is the mean of 5, 17, 10, 4, 7 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  12. 12.What is the mode of 13, 1, 11, 1, 9, 1 and 13? (a) 11 (b) 13 (c) 1 (d) 9
  13. 13.What is the median of 2, 38, 34, 35 and 37? (a) 36 (b) 37 (c) 35 (d) 34
  14. 14.What is the median of 2, 16, 39, 31, 28, 6 and 33? (a) 29 (b) 28 (c) 16 (d) 31
  15. 15.What is the mean of 2, 13, 15, 7 and 23? (a) 10 (b) 15 (c) 13 (d) 12
  16. 16.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 17 (b) 25 (c) 27 (d) 26
  17. 17.What is the mean of 14, 14, 16, 3, 5 and 2? (a) 8 (b) 11 (c) 9 (d) 10
  18. 18.The mean of 7 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 28 (b) 29 (c) 27 (d) 25
  19. 19.The mean of 5 numbers is 31. When the number 55 is added to them, what is the new mean? (a) 31 (b) 43 (c) 36 (d) 35
  20. 20.What is the median of 4, 33, 39, 27, 17, 11 and 31? (a) 28 (b) 17 (c) 27 (d) 31
  21. 21.What is the median of 17, 22, 21, 38 and 32? (a) 21 (b) 22 (c) 32 (d) 26
  22. 22.The mean of 6 numbers is 26. When the number 12 is added to them, what is the new mean? (a) 25 (b) 24 (c) 26 (d) 19
  23. 23.What is the median of 11, 9, 8, 23 and 13? (a) 11 (b) 13 (c) 8 (d) 9
  24. 24.What is the mean of 14, 3, 7, 16 and 20? (a) 12 (b) 15 (c) 13 (d) 10
  25. 25.The mean of 5 numbers is 24. When the number 36 is added to them, what is the new mean? (a) 30 (b) 24 (c) 27 (d) 26
  26. 26.What is the mean of 5, 19, 14, 7 and 10? (a) 12 (b) 13 (c) 11 (d) 10
  27. 27.What is the mean of 6, 8, 3 and 11? (a) 8 (b) 7 (c) 6 (d) 9
  28. 28.What is the median of 35, 36, 13, 34, 38, 17 and 39? (a) 36 (b) 37 (c) 35 (d) 34
  29. 29.What is the mean of 6, 12, 11 and 7? (a) 10 (b) 12 (c) 9 (d) 8
  30. 30.What is the median of 7, 11, 30, 29 and 3? (a) 11 (b) 16 (c) 29 (d) 30
  31. 31.The mean of 3 numbers is 14. When the number 2 is added to them, what is the new mean? (a) 14 (b) 12 (c) 8 (d) 11
  32. 32.What is the median of 14, 28, 39, 6, 24, 40 and 18? (a) 28 (b) 24 (c) 6 (d) 18
  33. 33.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 24 (b) 25 (c) 22 (d) 23
  34. 34.What is the mean of 14, 6, 17 and 19? (a) 14 (b) 15 (c) 13 (d) 16
  35. 35.What is the mean of 14, 3, 12, 4 and 7? (a) 7 (b) 10 (c) 8 (d) 9
  36. 36.The mean of 6 numbers is 13. When the number 27 is added to them, what is the new mean? (a) 15 (b) 13 (c) 16 (d) 20
  37. 37.What is the mean of 4, 6, 14 and 20? (a) 12 (b) 10 (c) 13 (d) 11
  38. 38.What is the median of 30, 29, 28, 40 and 21? (a) 31 (b) 29 (c) 30 (d) 28
  39. 39.What is the mode of 19, 8, 16, 8, 8, 3 and 19? (a) 3 (b) 8 (c) 19 (d) 16
  40. 40.The mean of 4 numbers is 21. When the number 11 is added to them, what is the new mean? (a) 16 (b) 20 (c) 19 (d) 21

Answer key

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

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