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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 265 · 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 22, 9, 3, 30 and 29? (a) 9 (b) 3 (c) 29 (d) 22
  2. 2.What is the mean of 9, 17, 13, 12 and 14? (a) 12 (b) 14 (c) 13 (d) 15
  3. 3.What is the mean of 20, 6, 9, 2, 6 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  4. 4.What is the mean of 5, 4, 17 and 18? (a) 10 (b) 11 (c) 12 (d) 13
  5. 5.What is the median of 14, 31, 17, 16 and 12? (a) 16 (b) 17 (c) 18 (d) 14
  6. 6.The mean of 4 numbers is 34. When the number 54 is added to them, what is the new mean? (a) 34 (b) 39 (c) 38 (d) 44
  7. 7.The mean of 8 numbers is 35. When the number 17 is added to them, what is the new mean? (a) 34 (b) 26 (c) 35 (d) 33
  8. 8.What is the mean of 20, 17, 3 and 20? (a) 15 (b) 16 (c) 12 (d) 20
  9. 9.What is the mode of 16, 5, 17, 5, 15, 17 and 17? (a) 15 (b) 17 (c) 16 (d) 5
  10. 10.What is the mean of 5, 4, 2, 9 and 20? (a) 9 (b) 7 (c) 8 (d) 10
  11. 11.What is the mean of 5, 9, 20 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  12. 12.The mean of 3 numbers is 30. When the number 46 is added to them, what is the new mean? (a) 30 (b) 38 (c) 34 (d) 35
  13. 13.The mean of 4 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 31 (b) 34 (c) 24 (d) 30
  14. 14.What is the median of 14, 17, 33, 40, 25, 9 and 11? (a) 40 (b) 14 (c) 17 (d) 25
  15. 15.What is the median of 33, 4, 36, 9 and 29? (a) 29 (b) 36 (c) 9 (d) 33
  16. 16.What is the median of 4, 6, 29, 40, 15, 39 and 20? (a) 40 (b) 20 (c) 15 (d) 29
  17. 17.What is the median of 13, 36, 29, 15 and 11? (a) 13 (b) 16 (c) 29 (d) 15
  18. 18.What is the mode of 2, 2, 16, 10, 17, 17 and 17? (a) 10 (b) 17 (c) 2 (d) 16
  19. 19.What is the mode of 12, 12, 12, 1, 10, 11 and 10? (a) 12 (b) 1 (c) 10 (d) 11
  20. 20.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 26
  21. 21.What is the mean of 7, 8, 16, 10, 19 and 6? (a) 13 (b) 11 (c) 10 (d) 12
  22. 22.What is the mean of 2, 4, 2, 3 and 4? (a) 2 (b) 3 (c) 4 (d) 5
  23. 23.What is the mean of 19, 6, 19, 2 and 4? (a) 10 (b) 11 (c) 12 (d) 9
  24. 24.What is the mode of 15, 19, 15, 20, 20, 9 and 20? (a) 19 (b) 20 (c) 9 (d) 15
  25. 25.What is the mode of 14, 16, 1, 1, 14, 14 and 18? (a) 1 (b) 14 (c) 16 (d) 18
  26. 26.What is the mean of 2, 12, 10 and 12? (a) 9 (b) 12 (c) 10 (d) 8
  27. 27.What is the median of 32, 24, 29, 25, 12, 17 and 4? (a) 24 (b) 25 (c) 23 (d) 17
  28. 28.What is the mean of 20, 2, 3, 3 and 22? (a) 11 (b) 12 (c) 10 (d) 9
  29. 29.What is the mean of 6, 2, 16 and 12? (a) 9 (b) 12 (c) 8 (d) 10
  30. 30.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 24 (b) 19 (c) 20 (d) 21
  31. 31.What is the mean of 13, 3, 8 and 4? (a) 9 (b) 7 (c) 6 (d) 8
  32. 32.What is the mode of 2, 1, 14, 14, 8, 8 and 8? (a) 14 (b) 2 (c) 1 (d) 8
  33. 33.What is the mode of 19, 10, 10, 16, 10, 19 and 8? (a) 16 (b) 19 (c) 10 (d) 8
  34. 34.What is the mean of 9, 14, 4 and 9? (a) 10 (b) 12 (c) 9 (d) 8
  35. 35.The mean of 6 numbers is 23. When the number 30 is added to them, what is the new mean? (a) 25 (b) 24 (c) 23 (d) 26
  36. 36.What is the mean of 2, 3, 3, 15 and 22? (a) 9 (b) 11 (c) 8 (d) 10
  37. 37.The mean of 6 numbers is 40. When the number 47 is added to them, what is the new mean? (a) 43 (b) 40 (c) 41 (d) 42
  38. 38.What is the mode of 11, 6, 18, 6, 8, 6 and 8? (a) 11 (b) 6 (c) 8 (d) 18
  39. 39.What is the mode of 3, 15, 8, 17, 15, 8 and 15? (a) 17 (b) 3 (c) 15 (d) 8
  40. 40.The mean of 9 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. 22
  2. 13
  3. 9
  4. 11
  5. 16
  6. 38
  7. 33
  8. 15
  9. 17
  10. 8
  11. 13
  12. 34
  13. 30
  14. 17
  15. 29
  16. 20
  17. 15
  18. 17
  19. 12
  20. 24
  21. 11
  22. 3
  23. 10
  24. 20
  25. 14
  26. 9
  27. 24
  28. 10
  29. 9
  30. 20
  31. 7
  32. 8
  33. 10
  34. 9
  35. 24
  36. 9
  37. 41
  38. 6
  39. 15
  40. 20

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