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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 796 · 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 8, 7, 7, 11, 8, 8 and 12? (a) 11 (b) 8 (c) 7 (d) 12
  2. 2.What is the mode of 10, 1, 5, 17, 5, 17 and 17? (a) 10 (b) 17 (c) 5 (d) 1
  3. 3.What is the mean of 3, 14, 11, 6 and 21? (a) 10 (b) 13 (c) 12 (d) 11
  4. 4.What is the mean of 15, 14, 5, 2 and 19? (a) 13 (b) 10 (c) 11 (d) 12
  5. 5.What is the mode of 7, 2, 4, 7, 2, 13 and 2? (a) 13 (b) 7 (c) 4 (d) 2
  6. 6.What is the median of 5, 10, 17, 40 and 16? (a) 10 (b) 17 (c) 16 (d) 15
  7. 7.The mean of 6 numbers is 29. When the number 43 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 36
  8. 8.What is the mean of 10, 16, 10, 3, 7 and 14? (a) 10 (b) 12 (c) 11 (d) 9
  9. 9.What is the mode of 6, 12, 6, 9, 12, 3 and 12? (a) 12 (b) 3 (c) 6 (d) 9
  10. 10.What is the median of 26, 37, 40, 23 and 12? (a) 40 (b) 23 (c) 37 (d) 26
  11. 11.What is the mode of 14, 2, 14, 8, 1, 2 and 14? (a) 2 (b) 1 (c) 14 (d) 8
  12. 12.What is the median of 31, 13, 23, 29 and 14? (a) 23 (b) 14 (c) 29 (d) 22
  13. 13.The mean of 4 numbers is 36. When the number 56 is added to them, what is the new mean? (a) 36 (b) 46 (c) 40 (d) 41
  14. 14.What is the median of 8, 7, 20, 37, 19, 13 and 24? (a) 13 (b) 37 (c) 19 (d) 20
  15. 15.The mean of 5 numbers is 27. When the number 51 is added to them, what is the new mean? (a) 27 (b) 32 (c) 39 (d) 31
  16. 16.What is the mean of 7, 11, 7 and 15? (a) 9 (b) 10 (c) 11 (d) 8
  17. 17.What is the mode of 17, 17, 7, 12, 12, 12 and 2? (a) 7 (b) 17 (c) 12 (d) 2
  18. 18.What is the mode of 18, 13, 13, 12, 1, 12 and 13? (a) 13 (b) 1 (c) 12 (d) 18
  19. 19.What is the mean of 20, 19, 11 and 14? (a) 18 (b) 16 (c) 17 (d) 15
  20. 20.What is the mean of 13, 4, 6 and 5? (a) 9 (b) 6 (c) 7 (d) 8
  21. 21.The mean of 7 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 22 (b) 19 (c) 23 (d) 31
  22. 22.What is the mean of 9, 17, 8 and 14? (a) 13 (b) 11 (c) 12 (d) 16
  23. 23.What is the mode of 6, 18, 20, 20, 6, 6 and 14? (a) 18 (b) 6 (c) 20 (d) 14
  24. 24.The mean of 8 numbers is 31. When the number 67 is added to them, what is the new mean? (a) 31 (b) 35 (c) 49 (d) 36
  25. 25.What is the median of 18, 36, 20, 6, 23, 35 and 39? (a) 23 (b) 35 (c) 20 (d) 6
  26. 26.What is the median of 18, 21, 36, 20 and 37? (a) 22 (b) 20 (c) 36 (d) 21
  27. 27.What is the median of 24, 2, 18, 34 and 14? (a) 24 (b) 14 (c) 19 (d) 18
  28. 28.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 43 (b) 48 (c) 42 (d) 39
  29. 29.What is the median of 3, 13, 40, 18, 10, 36 and 27? (a) 13 (b) 18 (c) 27 (d) 21
  30. 30.What is the median of 26, 9, 25, 36 and 34? (a) 25 (b) 26 (c) 34 (d) 27
  31. 31.What is the median of 13, 21, 26, 22, 31, 3 and 29? (a) 21 (b) 23 (c) 22 (d) 26
  32. 32.What is the median of 26, 38, 32, 19, 5, 4 and 10? (a) 20 (b) 10 (c) 19 (d) 26
  33. 33.What is the median of 4, 28, 1, 8 and 20? (a) 1 (b) 8 (c) 20 (d) 4
  34. 34.What is the mean of 17, 11, 11 and 5? (a) 10 (b) 12 (c) 11 (d) 13
  35. 35.The mean of 7 numbers is 37. When the number 13 is added to them, what is the new mean? (a) 37 (b) 25 (c) 35 (d) 34
  36. 36.What is the mean of 19, 16, 13 and 20? (a) 16 (b) 18 (c) 19 (d) 17
  37. 37.What is the median of 5, 18, 37, 21 and 10? (a) 21 (b) 10 (c) 37 (d) 18
  38. 38.What is the mode of 18, 20, 3, 20, 3, 14 and 20? (a) 18 (b) 20 (c) 3 (d) 14
  39. 39.What is the median of 7, 5, 15, 2, 29, 36 and 35? (a) 29 (b) 15 (c) 2 (d) 7
  40. 40.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 19 (b) 15 (c) 16 (d) 14

Answer key

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

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