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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 417 · 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.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 42 (b) 43 (c) 40 (d) 47
  2. 2.What is the mode of 19, 1, 12, 1, 19, 19 and 13? (a) 12 (b) 19 (c) 13 (d) 1
  3. 3.What is the mean of 12, 9, 8, 2, 7 and 22? (a) 9 (b) 11 (c) 10 (d) 12
  4. 4.What is the mean of 7, 11, 9 and 5? (a) 8 (b) 9 (c) 10 (d) 7
  5. 5.What is the mode of 9, 18, 18, 9, 20, 13 and 9? (a) 18 (b) 20 (c) 13 (d) 9
  6. 6.What is the mean of 5, 2, 6, 5 and 12? (a) 6 (b) 7 (c) 5 (d) 8
  7. 7.What is the mode of 8, 17, 13, 8, 5, 17 and 17? (a) 8 (b) 13 (c) 17 (d) 5
  8. 8.What is the mean of 15, 7, 6, 2 and 5? (a) 8 (b) 9 (c) 7 (d) 6
  9. 9.What is the mean of 11, 20, 14 and 15? (a) 15 (b) 12 (c) 16 (d) 20
  10. 10.What is the median of 8, 28, 22, 9 and 35? (a) 22 (b) 9 (c) 23 (d) 28
  11. 11.What is the mean of 5, 14, 12 and 9? (a) 11 (b) 10 (c) 8 (d) 9
  12. 12.What is the median of 19, 6, 39, 20, 30, 11 and 32? (a) 21 (b) 19 (c) 20 (d) 30
  13. 13.What is the mode of 11, 6, 1, 1, 1, 8 and 6? (a) 11 (b) 8 (c) 1 (d) 6
  14. 14.What is the mean of 18, 4, 12, 6 and 10? (a) 10 (b) 12 (c) 9 (d) 11
  15. 15.What is the mode of 4, 9, 2, 9, 7, 7 and 9? (a) 4 (b) 7 (c) 9 (d) 2
  16. 16.What is the median of 14, 35, 19, 18 and 29? (a) 23 (b) 29 (c) 19 (d) 18
  17. 17.The mean of 8 numbers is 14. When the number 41 is added to them, what is the new mean? (a) 14 (b) 17 (c) 18 (d) 16
  18. 18.What is the mean of 2, 7, 13, 20, 14 and 10? (a) 13 (b) 12 (c) 10 (d) 11
  19. 19.What is the mode of 7, 7, 6, 4, 7, 6 and 17? (a) 6 (b) 4 (c) 7 (d) 17
  20. 20.What is the median of 3, 23, 38, 29, 15, 8 and 11? (a) 15 (b) 11 (c) 29 (d) 23
  21. 21.What is the mean of 5, 15, 4, 19 and 7? (a) 9 (b) 12 (c) 11 (d) 10
  22. 22.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 19 (b) 20 (c) 21 (d) 18
  23. 23.What is the mode of 5, 12, 5, 1, 15, 12 and 12? (a) 5 (b) 15 (c) 12 (d) 1
  24. 24.What is the median of 4, 3, 14, 7, 19, 17 and 32? (a) 15 (b) 7 (c) 17 (d) 14
  25. 25.What is the mode of 19, 11, 15, 15, 10, 10 and 10? (a) 15 (b) 11 (c) 19 (d) 10
  26. 26.What is the mode of 18, 11, 16, 11, 20, 16 and 11? (a) 11 (b) 20 (c) 16 (d) 18
  27. 27.What is the mean of 14, 13, 4, 6 and 13? (a) 9 (b) 11 (c) 10 (d) 12
  28. 28.What is the mode of 5, 17, 11, 18, 5, 17 and 17? (a) 5 (b) 18 (c) 11 (d) 17
  29. 29.What is the mode of 18, 5, 5, 2, 18, 13 and 18? (a) 2 (b) 13 (c) 5 (d) 18
  30. 30.What is the median of 3, 32, 12, 7 and 1? (a) 11 (b) 7 (c) 12 (d) 3
  31. 31.What is the median of 36, 3, 4, 31, 24, 6 and 27? (a) 31 (b) 24 (c) 6 (d) 27
  32. 32.The mean of 4 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 18 (b) 14 (c) 19 (d) 17
  33. 33.The mean of 8 numbers is 32. When the number 23 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 33
  34. 34.What is the mean of 3, 3, 7 and 11? (a) 5 (b) 7 (c) 8 (d) 6
  35. 35.What is the mean of 13, 6, 10, 5 and 16? (a) 12 (b) 10 (c) 9 (d) 11
  36. 36.What is the mean of 2, 13, 15, 18, 4 and 14? (a) 10 (b) 12 (c) 13 (d) 11
  37. 37.What is the median of 18, 10, 16, 22, 2, 5 and 35? (a) 16 (b) 18 (c) 10 (d) 22
  38. 38.The mean of 5 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 15 (b) 21 (c) 20 (d) 19
  39. 39.What is the mode of 5, 13, 16, 20, 20, 20 and 16? (a) 16 (b) 20 (c) 13 (d) 5
  40. 40.What is the median of 34, 2, 24, 6 and 31? (a) 24 (b) 25 (c) 6 (d) 31

Answer key

  1. 42
  2. 19
  3. 10
  4. 8
  5. 9
  6. 6
  7. 17
  8. 7
  9. 15
  10. 22
  11. 10
  12. 20
  13. 1
  14. 10
  15. 9
  16. 19
  17. 17
  18. 11
  19. 7
  20. 15
  21. 10
  22. 19
  23. 12
  24. 14
  25. 10
  26. 11
  27. 10
  28. 17
  29. 18
  30. 7
  31. 24
  32. 17
  33. 31
  34. 6
  35. 10
  36. 11
  37. 16
  38. 19
  39. 20
  40. 24

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