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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 688 · 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 16, 14, 17 and 9? (a) 16 (b) 15 (c) 13 (d) 14
  2. 2.What is the mode of 13, 13, 18, 12, 2, 18 and 13? (a) 12 (b) 18 (c) 2 (d) 13
  3. 3.What is the mode of 11, 1, 16, 15, 15, 16 and 15? (a) 16 (b) 1 (c) 15 (d) 11
  4. 4.What is the mean of 17, 8, 20 and 11? (a) 15 (b) 16 (c) 14 (d) 13
  5. 5.What is the mean of 20, 6, 9, 11, 20 and 6? (a) 11 (b) 14 (c) 12 (d) 13
  6. 6.The mean of 6 numbers is 40. When the number 54 is added to them, what is the new mean? (a) 42 (b) 40 (c) 43 (d) 47
  7. 7.What is the mean of 4, 4, 9 and 11? (a) 7 (b) 6 (c) 9 (d) 8
  8. 8.What is the mean of 4, 3, 4 and 9? (a) 6 (b) 4 (c) 5 (d) 7
  9. 9.What is the median of 11, 1, 4, 9 and 20? (a) 11 (b) 4 (c) 9 (d) 10
  10. 10.What is the median of 24, 19, 4, 32, 5, 3 and 10? (a) 19 (b) 5 (c) 32 (d) 10
  11. 11.What is the median of 28, 16, 36, 34, 40, 14 and 9? (a) 34 (b) 28 (c) 29 (d) 16
  12. 12.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 35 (b) 39 (c) 37 (d) 36
  13. 13.What is the median of 16, 13, 24, 40 and 6? (a) 24 (b) 16 (c) 17 (d) 13
  14. 14.What is the mode of 2, 17, 14, 6, 14, 2 and 14? (a) 17 (b) 6 (c) 14 (d) 2
  15. 15.What is the mode of 9, 10, 10, 3, 9, 9 and 20? (a) 20 (b) 3 (c) 9 (d) 10
  16. 16.What is the median of 18, 34, 25, 17 and 8? (a) 19 (b) 25 (c) 18 (d) 17
  17. 17.What is the median of 5, 24, 8, 21, 15, 1 and 19? (a) 21 (b) 19 (c) 15 (d) 8
  18. 18.What is the mode of 6, 3, 15, 6, 3, 6 and 5? (a) 15 (b) 5 (c) 3 (d) 6
  19. 19.What is the median of 26, 40, 2, 39 and 19? (a) 2 (b) 19 (c) 26 (d) 39
  20. 20.What is the median of 10, 3, 14, 23 and 30? (a) 16 (b) 23 (c) 10 (d) 14
  21. 21.What is the mode of 12, 7, 7, 20, 20, 18 and 7? (a) 18 (b) 12 (c) 20 (d) 7
  22. 22.What is the median of 35, 1, 24, 7, 36, 23 and 9? (a) 24 (b) 7 (c) 9 (d) 23
  23. 23.What is the median of 15, 1, 39, 21, 3, 11 and 29? (a) 17 (b) 11 (c) 21 (d) 15
  24. 24.The mean of 5 numbers is 17. When the number 23 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 18
  25. 25.What is the mode of 10, 6, 10, 16, 15, 6 and 6? (a) 15 (b) 6 (c) 10 (d) 16
  26. 26.What is the mode of 11, 12, 12, 1, 11, 2 and 11? (a) 2 (b) 11 (c) 12 (d) 1
  27. 27.What is the mean of 20, 18, 18 and 4? (a) 12 (b) 16 (c) 15 (d) 20
  28. 28.What is the mode of 19, 2, 2, 2, 19, 8 and 18? (a) 8 (b) 19 (c) 2 (d) 18
  29. 29.The mean of 4 numbers is 37. When the number 47 is added to them, what is the new mean? (a) 40 (b) 39 (c) 37 (d) 42
  30. 30.What is the median of 6, 3, 24, 7, 16, 4 and 27? (a) 7 (b) 8 (c) 16 (d) 6
  31. 31.What is the median of 35, 12, 14, 16, 1, 29 and 17? (a) 16 (b) 17 (c) 14 (d) 15
  32. 32.What is the median of 16, 30, 3, 7, 29, 25 and 20? (a) 16 (b) 20 (c) 25 (d) 7
  33. 33.What is the mean of 20, 11, 20 and 17? (a) 19 (b) 18 (c) 17 (d) 16
  34. 34.What is the mode of 20, 15, 16, 15, 20, 13 and 20? (a) 16 (b) 13 (c) 20 (d) 15
  35. 35.What is the mean of 20, 5, 7, 11, 17 and 12? (a) 13 (b) 11 (c) 12 (d) 14
  36. 36.What is the mean of 16, 10, 16, 6, 20 and 16? (a) 12 (b) 13 (c) 14 (d) 15
  37. 37.The mean of 8 numbers is 33. When the number 6 is added to them, what is the new mean? (a) 29 (b) 30 (c) 33 (d) 31
  38. 38.What is the mean of 7, 15, 6, 4 and 18? (a) 10 (b) 9 (c) 11 (d) 12
  39. 39.What is the mean of 3, 14, 4, 12 and 17? (a) 11 (b) 9 (c) 12 (d) 10
  40. 40.What is the mean of 10, 5, 4, 2, 3 and 6? (a) 6 (b) 7 (c) 5 (d) 4

Answer key

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

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