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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 897 · 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 18, 6, 5, 3 and 3? (a) 6 (b) 7 (c) 8 (d) 9
  2. 2.What is the mode of 19, 20, 12, 20, 1, 1 and 20? (a) 20 (b) 19 (c) 1 (d) 12
  3. 3.What is the mean of 18, 8, 3, 6 and 10? (a) 8 (b) 9 (c) 11 (d) 10
  4. 4.The mean of 5 numbers is 24. When the number 18 is added to them, what is the new mean? (a) 21 (b) 24 (c) 22 (d) 23
  5. 5.What is the median of 25, 7, 15, 2 and 24? (a) 24 (b) 15 (c) 16 (d) 7
  6. 6.The mean of 9 numbers is 37. When the number 77 is added to them, what is the new mean? (a) 41 (b) 42 (c) 37 (d) 57
  7. 7.What is the mode of 16, 6, 20, 5, 16, 16 and 5? (a) 6 (b) 5 (c) 16 (d) 20
  8. 8.What is the mode of 16, 1, 1, 3, 1, 6 and 3? (a) 1 (b) 16 (c) 6 (d) 3
  9. 9.What is the mean of 9, 18, 2, 15 and 6? (a) 10 (b) 11 (c) 12 (d) 9
  10. 10.What is the mean of 19, 17, 5, 3 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  11. 11.What is the mean of 17, 6, 2, 3, 7 and 7? (a) 8 (b) 7 (c) 6 (d) 9
  12. 12.What is the median of 22, 6, 37, 3 and 18? (a) 22 (b) 6 (c) 37 (d) 18
  13. 13.What is the mean of 17, 17, 6 and 12? (a) 14 (b) 13 (c) 15 (d) 12
  14. 14.What is the mode of 3, 20, 5, 3, 3, 1 and 5? (a) 3 (b) 1 (c) 20 (d) 5
  15. 15.What is the mode of 12, 11, 5, 12, 16, 12 and 11? (a) 5 (b) 16 (c) 11 (d) 12
  16. 16.What is the mode of 7, 8, 6, 13, 8, 13 and 13? (a) 7 (b) 8 (c) 13 (d) 6
  17. 17.What is the mode of 12, 12, 11, 16, 11, 12 and 7? (a) 16 (b) 11 (c) 12 (d) 7
  18. 18.What is the median of 13, 34, 37, 36 and 3? (a) 34 (b) 37 (c) 36 (d) 13
  19. 19.What is the median of 14, 22, 3, 31 and 9? (a) 14 (b) 3 (c) 9 (d) 22
  20. 20.What is the mean of 12, 5, 10 and 5? (a) 7 (b) 9 (c) 8 (d) 10
  21. 21.What is the mode of 13, 13, 19, 13, 4, 4 and 6? (a) 4 (b) 19 (c) 6 (d) 13
  22. 22.What is the mode of 5, 16, 2, 2, 5, 2 and 18? (a) 16 (b) 5 (c) 18 (d) 2
  23. 23.What is the mean of 2, 2, 12, 13, 6 and 13? (a) 8 (b) 10 (c) 9 (d) 7
  24. 24.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 12 (b) 11 (c) 7 (d) 10
  25. 25.The mean of 8 numbers is 21. When the number 48 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 21
  26. 26.What is the mean of 5, 12, 12, 4, 20 and 13? (a) 11 (b) 13 (c) 10 (d) 12
  27. 27.The mean of 5 numbers is 33. When the number 39 is added to them, what is the new mean? (a) 34 (b) 35 (c) 33 (d) 36
  28. 28.What is the mean of 18, 16, 16 and 6? (a) 16 (b) 14 (c) 13 (d) 15
  29. 29.The mean of 3 numbers is 19. When the number 15 is added to them, what is the new mean? (a) 18 (b) 19 (c) 17 (d) 20
  30. 30.The mean of 6 numbers is 30. When the number 51 is added to them, what is the new mean? (a) 32 (b) 33 (c) 30 (d) 34
  31. 31.What is the mode of 6, 11, 9, 19, 6, 9 and 6? (a) 19 (b) 6 (c) 9 (d) 11
  32. 32.What is the mode of 12, 9, 9, 9, 20, 4 and 20? (a) 4 (b) 12 (c) 9 (d) 20
  33. 33.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 32 (b) 29 (c) 22 (d) 28
  34. 34.What is the median of 13, 34, 1, 40 and 31? (a) 13 (b) 34 (c) 31 (d) 1
  35. 35.What is the median of 15, 5, 30, 34 and 16? (a) 16 (b) 15 (c) 30 (d) 20
  36. 36.The mean of 6 numbers is 13. When the number 41 is added to them, what is the new mean? (a) 13 (b) 27 (c) 18 (d) 17
  37. 37.What is the median of 31, 38, 5, 26 and 35? (a) 35 (b) 31 (c) 5 (d) 27
  38. 38.What is the mode of 9, 9, 13, 11, 2, 11 and 11? (a) 13 (b) 9 (c) 11 (d) 2
  39. 39.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 26 (b) 27 (c) 29 (d) 23
  40. 40.What is the mode of 8, 13, 14, 14, 13, 5 and 13? (a) 5 (b) 13 (c) 8 (d) 14

Answer key

  1. 7
  2. 20
  3. 9
  4. 23
  5. 15
  6. 41
  7. 16
  8. 1
  9. 10
  10. 11
  11. 7
  12. 18
  13. 13
  14. 3
  15. 12
  16. 13
  17. 12
  18. 34
  19. 14
  20. 8
  21. 13
  22. 2
  23. 8
  24. 10
  25. 24
  26. 11
  27. 34
  28. 14
  29. 18
  30. 33
  31. 6
  32. 9
  33. 28
  34. 31
  35. 16
  36. 17
  37. 31
  38. 11
  39. 26
  40. 13

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