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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 443 · 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 20, 2, 4, 2, 4, 5 and 2? (a) 4 (b) 2 (c) 5 (d) 20
  2. 2.What is the median of 33, 17, 15, 1 and 38? (a) 15 (b) 17 (c) 18 (d) 33
  3. 3.The mean of 3 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 27 (b) 26 (c) 24 (d) 28
  4. 4.The mean of 4 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 37 (b) 32 (c) 42 (d) 36
  5. 5.What is the mode of 1, 6, 5, 20, 20, 5 and 20? (a) 20 (b) 6 (c) 5 (d) 1
  6. 6.What is the mean of 5, 20, 17 and 6? (a) 16 (b) 12 (c) 13 (d) 11
  7. 7.What is the mean of 4, 3, 6, 19, 16 and 6? (a) 10 (b) 8 (c) 11 (d) 9
  8. 8.What is the mode of 1, 1, 9, 1, 19, 2 and 19? (a) 2 (b) 1 (c) 19 (d) 9
  9. 9.The mean of 5 numbers is 23. When the number 41 is added to them, what is the new mean? (a) 27 (b) 32 (c) 23 (d) 26
  10. 10.What is the mean of 6, 20, 5, 3, 17 and 21? (a) 11 (b) 12 (c) 13 (d) 14
  11. 11.What is the median of 7, 37, 28, 9, 34, 20 and 32? (a) 32 (b) 9 (c) 20 (d) 28
  12. 12.The mean of 7 numbers is 21. When the number 29 is added to them, what is the new mean? (a) 25 (b) 22 (c) 23 (d) 21
  13. 13.What is the mean of 17, 6, 10 and 19? (a) 14 (b) 13 (c) 15 (d) 12
  14. 14.What is the mode of 15, 14, 10, 16, 15, 16 and 15? (a) 14 (b) 15 (c) 10 (d) 16
  15. 15.What is the mean of 7, 2, 11, 4, 12 and 18? (a) 9 (b) 8 (c) 11 (d) 10
  16. 16.What is the mode of 3, 8, 11, 3, 3, 18 and 11? (a) 18 (b) 8 (c) 3 (d) 11
  17. 17.What is the mode of 13, 9, 9, 15, 20, 20 and 20? (a) 15 (b) 9 (c) 13 (d) 20
  18. 18.What is the mean of 9, 11, 2 and 6? (a) 9 (b) 6 (c) 8 (d) 7
  19. 19.What is the mean of 6, 7, 8 and 15? (a) 8 (b) 12 (c) 10 (d) 9
  20. 20.What is the mean of 9, 18, 13, 18, 6 and 8? (a) 11 (b) 12 (c) 13 (d) 14
  21. 21.What is the mean of 12, 14, 6 and 16? (a) 13 (b) 11 (c) 16 (d) 12
  22. 22.The mean of 8 numbers is 36. When the number 72 is added to them, what is the new mean? (a) 54 (b) 41 (c) 40 (d) 36
  23. 23.What is the mode of 11, 16, 6, 16, 15, 15 and 15? (a) 6 (b) 15 (c) 11 (d) 16
  24. 24.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 20 (b) 24 (c) 30 (d) 25
  25. 25.What is the mean of 8, 17, 4, 11, 2 and 6? (a) 9 (b) 8 (c) 10 (d) 7
  26. 26.The mean of 5 numbers is 34. When the number 40 is added to them, what is the new mean? (a) 37 (b) 35 (c) 34 (d) 36
  27. 27.What is the mode of 20, 20, 18, 18, 18, 3 and 9? (a) 3 (b) 9 (c) 18 (d) 20
  28. 28.What is the mode of 13, 3, 15, 16, 16, 16 and 3? (a) 15 (b) 3 (c) 13 (d) 16
  29. 29.What is the mode of 16, 18, 1, 18, 18, 6 and 6? (a) 16 (b) 6 (c) 1 (d) 18
  30. 30.What is the mean of 5, 5, 3, 18 and 19? (a) 12 (b) 9 (c) 11 (d) 10
  31. 31.The mean of 7 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 8 (b) 10 (c) 12 (d) 11
  32. 32.What is the mode of 18, 12, 15, 18, 12, 10 and 12? (a) 10 (b) 18 (c) 12 (d) 15
  33. 33.What is the mode of 10, 18, 18, 18, 14, 6 and 10? (a) 14 (b) 10 (c) 6 (d) 18
  34. 34.What is the median of 23, 5, 37, 27, 31, 20 and 25? (a) 24 (b) 27 (c) 25 (d) 23
  35. 35.What is the median of 10, 37, 1, 6 and 19? (a) 6 (b) 10 (c) 1 (d) 19
  36. 36.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 37 (b) 49 (c) 42 (d) 41
  37. 37.What is the mean of 12, 16, 15, 16, 18 and 13? (a) 14 (b) 18 (c) 15 (d) 16
  38. 38.What is the mean of 3, 15, 20, 15 and 7? (a) 15 (b) 12 (c) 13 (d) 10
  39. 39.What is the median of 24, 35, 19, 27, 16, 18 and 14? (a) 24 (b) 27 (c) 18 (d) 19
  40. 40.What is the mode of 2, 5, 6, 5, 18, 18 and 18? (a) 6 (b) 5 (c) 18 (d) 2

Answer key

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

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