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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 156 · 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 mode of 16, 16, 14, 9, 5, 9 and 16? (a) 16 (b) 5 (c) 9 (d) 14
  2. 2.What is the mode of 15, 19, 19, 15, 15, 9 and 12? (a) 15 (b) 19 (c) 9 (d) 12
  3. 3.What is the mean of 11, 15, 6 and 16? (a) 13 (b) 11 (c) 12 (d) 16
  4. 4.What is the median of 20, 9, 10, 19 and 16? (a) 17 (b) 16 (c) 10 (d) 19
  5. 5.What is the median of 35, 30, 13, 25, 1, 3 and 24? (a) 24 (b) 13 (c) 23 (d) 25
  6. 6.What is the median of 19, 29, 26, 14 and 31? (a) 19 (b) 29 (c) 26 (d) 27
  7. 7.What is the mean of 11, 19, 19 and 19? (a) 19 (b) 17 (c) 18 (d) 16
  8. 8.What is the mean of 3, 6, 6, 14 and 6? (a) 6 (b) 7 (c) 9 (d) 8
  9. 9.The mean of 9 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 39 (b) 40 (c) 44 (d) 41
  10. 10.The mean of 3 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 10 (b) 14 (c) 13 (d) 16
  11. 11.What is the mode of 4, 4, 12, 19, 20, 4 and 20? (a) 12 (b) 4 (c) 20 (d) 19
  12. 12.The mean of 7 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 25 (b) 28 (c) 29 (d) 27
  13. 13.What is the mean of 20, 5, 16 and 11? (a) 13 (b) 14 (c) 12 (d) 15
  14. 14.What is the median of 22, 19, 1, 28, 35, 5 and 7? (a) 7 (b) 22 (c) 28 (d) 19
  15. 15.The mean of 7 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 29 (b) 35 (c) 27 (d) 30
  16. 16.What is the median of 34, 32, 5, 3, 11, 13 and 9? (a) 13 (b) 11 (c) 3 (d) 9
  17. 17.What is the mean of 7, 12, 6, 8 and 12? (a) 8 (b) 9 (c) 10 (d) 11
  18. 18.What is the mode of 5, 3, 7, 5, 3, 4 and 5? (a) 3 (b) 4 (c) 5 (d) 7
  19. 19.What is the mean of 9, 12, 2, 10, 4 and 11? (a) 8 (b) 7 (c) 10 (d) 9
  20. 20.What is the median of 1, 3, 32, 31, 2, 16 and 9? (a) 3 (b) 16 (c) 31 (d) 9
  21. 21.What is the mean of 9, 15, 17 and 11? (a) 15 (b) 12 (c) 13 (d) 14
  22. 22.The mean of 8 numbers is 40. When the number 13 is added to them, what is the new mean? (a) 37 (b) 38 (c) 36 (d) 40
  23. 23.What is the mean of 11, 20, 6, 3, 11 and 21? (a) 13 (b) 12 (c) 11 (d) 14
  24. 24.The mean of 9 numbers is 29. When the number 59 is added to them, what is the new mean? (a) 32 (b) 33 (c) 44 (d) 29
  25. 25.The mean of 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 33 (b) 38 (c) 35 (d) 34
  26. 26.What is the mode of 3, 2, 2, 1, 3, 2 and 20? (a) 2 (b) 20 (c) 1 (d) 3
  27. 27.What is the median of 17, 11, 7, 12 and 31? (a) 17 (b) 12 (c) 11 (d) 7
  28. 28.The mean of 6 numbers is 40. When the number 12 is added to them, what is the new mean? (a) 40 (b) 36 (c) 26 (d) 37
  29. 29.What is the mean of 12, 5, 9 and 14? (a) 8 (b) 9 (c) 11 (d) 10
  30. 30.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 17 (b) 16 (c) 18 (d) 15
  31. 31.What is the mode of 18, 18, 4, 4, 14, 7 and 18? (a) 14 (b) 4 (c) 18 (d) 7
  32. 32.What is the median of 11, 5, 38, 1, 9, 17 and 19? (a) 1 (b) 17 (c) 11 (d) 9
  33. 33.What is the mean of 19, 4, 5 and 20? (a) 16 (b) 13 (c) 11 (d) 12
  34. 34.What is the mean of 10, 4, 17, 8, 8 and 19? (a) 12 (b) 13 (c) 11 (d) 10
  35. 35.What is the mean of 6, 14, 7, 11, 20 and 20? (a) 14 (b) 12 (c) 15 (d) 13
  36. 36.What is the mode of 18, 20, 12, 8, 8, 12 and 12? (a) 18 (b) 12 (c) 20 (d) 8
  37. 37.What is the median of 23, 10, 28, 18, 37, 4 and 31? (a) 18 (b) 28 (c) 24 (d) 23
  38. 38.What is the mode of 18, 8, 18, 8, 18, 12 and 4? (a) 4 (b) 18 (c) 12 (d) 8
  39. 39.What is the median of 1, 4, 36, 32, 33, 38 and 20? (a) 31 (b) 32 (c) 20 (d) 33
  40. 40.The mean of 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 19 (b) 18 (c) 20 (d) 17

Answer key

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

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