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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 549 · 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 1, 5, 6, 14, 19, 2 and 12? (a) 6 (b) 5 (c) 12 (d) 14
  2. 2.What is the mean of 16, 6, 6, 15, 6 and 17? (a) 13 (b) 12 (c) 11 (d) 10
  3. 3.What is the mean of 14, 5, 12, 5, 3 and 15? (a) 10 (b) 8 (c) 11 (d) 9
  4. 4.What is the mean of 6, 8, 17, 15 and 9? (a) 10 (b) 12 (c) 13 (d) 11
  5. 5.The mean of 7 numbers is 10. When the number 42 is added to them, what is the new mean? (a) 15 (b) 26 (c) 14 (d) 10
  6. 6.What is the median of 22, 27, 32, 10 and 14? (a) 32 (b) 21 (c) 27 (d) 22
  7. 7.What is the mode of 9, 3, 19, 19, 12, 9 and 9? (a) 19 (b) 12 (c) 3 (d) 9
  8. 8.What is the mode of 11, 20, 7, 20, 20, 6 and 7? (a) 20 (b) 6 (c) 7 (d) 11
  9. 9.What is the median of 25, 10, 11, 27 and 14? (a) 25 (b) 14 (c) 15 (d) 11
  10. 10.The mean of 3 numbers is 20. When the number 12 is added to them, what is the new mean? (a) 16 (b) 19 (c) 20 (d) 18
  11. 11.What is the mode of 6, 1, 7, 13, 7, 7 and 13? (a) 13 (b) 1 (c) 6 (d) 7
  12. 12.What is the mean of 18, 2, 20, 10, 2 and 2? (a) 10 (b) 9 (c) 8 (d) 11
  13. 13.What is the mean of 15, 3, 12, 19, 16 and 19? (a) 15 (b) 13 (c) 12 (d) 14
  14. 14.What is the mean of 4, 6, 11, 8, 12 and 7? (a) 9 (b) 10 (c) 7 (d) 8
  15. 15.What is the median of 34, 25, 6, 4, 2, 16 and 10? (a) 4 (b) 16 (c) 6 (d) 10
  16. 16.What is the median of 36, 17, 11, 34, 29, 4 and 16? (a) 29 (b) 21 (c) 34 (d) 17
  17. 17.The mean of 8 numbers is 25. When the number 7 is added to them, what is the new mean? (a) 24 (b) 16 (c) 25 (d) 23
  18. 18.What is the mode of 6, 9, 5, 12, 12, 12 and 6? (a) 6 (b) 5 (c) 9 (d) 12
  19. 19.The mean of 3 numbers is 33. When the number 25 is added to them, what is the new mean? (a) 31 (b) 29 (c) 32 (d) 33
  20. 20.What is the mode of 13, 2, 2, 2, 20, 11 and 11? (a) 13 (b) 2 (c) 11 (d) 20
  21. 21.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 37 (b) 31 (c) 28 (d) 30
  22. 22.What is the mean of 9, 9, 17 and 9? (a) 10 (b) 11 (c) 13 (d) 12
  23. 23.The mean of 6 numbers is 40. When the number 47 is added to them, what is the new mean? (a) 42 (b) 40 (c) 43 (d) 41
  24. 24.What is the median of 21, 20, 3, 27 and 22? (a) 20 (b) 3 (c) 22 (d) 21
  25. 25.What is the mode of 13, 6, 13, 11, 20, 6 and 6? (a) 13 (b) 20 (c) 11 (d) 6
  26. 26.The mean of 5 numbers is 19. When the number 7 is added to them, what is the new mean? (a) 17 (b) 18 (c) 19 (d) 13
  27. 27.What is the mean of 18, 18, 12, 6, 11 and 19? (a) 12 (b) 13 (c) 15 (d) 14
  28. 28.What is the median of 10, 37, 20, 32 and 17? (a) 32 (b) 21 (c) 17 (d) 20
  29. 29.The mean of 7 numbers is 39. When the number 15 is added to them, what is the new mean? (a) 37 (b) 36 (c) 27 (d) 39
  30. 30.What is the median of 13, 21, 6, 20 and 29? (a) 21 (b) 20 (c) 6 (d) 13
  31. 31.What is the median of 5, 32, 6, 14, 22, 35 and 25? (a) 14 (b) 23 (c) 22 (d) 25
  32. 32.What is the mean of 9, 3, 12, 14 and 12? (a) 12 (b) 11 (c) 10 (d) 9
  33. 33.What is the median of 4, 9, 3, 32, 17, 10 and 14? (a) 9 (b) 10 (c) 14 (d) 32
  34. 34.What is the mean of 20, 19, 14 and 7? (a) 15 (b) 16 (c) 20 (d) 12
  35. 35.What is the median of 2, 3, 24, 1, 40, 6 and 7? (a) 7 (b) 3 (c) 6 (d) 1
  36. 36.What is the mode of 6, 6, 8, 8, 11, 2 and 8? (a) 11 (b) 2 (c) 8 (d) 6
  37. 37.What is the mean of 2, 18, 2 and 22? (a) 10 (b) 13 (c) 11 (d) 12
  38. 38.What is the mean of 12, 13, 9, 9 and 17? (a) 15 (b) 12 (c) 10 (d) 13
  39. 39.What is the mean of 15, 11, 12, 14 and 8? (a) 15 (b) 10 (c) 13 (d) 12
  40. 40.What is the median of 36, 20, 35, 11, 38, 7 and 29? (a) 29 (b) 11 (c) 35 (d) 20

Answer key

  1. 6
  2. 11
  3. 9
  4. 11
  5. 14
  6. 22
  7. 9
  8. 20
  9. 14
  10. 18
  11. 7
  12. 9
  13. 14
  14. 8
  15. 10
  16. 17
  17. 23
  18. 12
  19. 31
  20. 2
  21. 30
  22. 11
  23. 41
  24. 21
  25. 6
  26. 17
  27. 14
  28. 20
  29. 36
  30. 20
  31. 22
  32. 10
  33. 10
  34. 15
  35. 6
  36. 8
  37. 11
  38. 12
  39. 12
  40. 29

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