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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 234 · 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 8, 14, 12, 20, 16 and 20? (a) 18 (b) 14 (c) 15 (d) 16
  2. 2.What is the mode of 6, 20, 15, 20, 4, 6 and 20? (a) 4 (b) 6 (c) 20 (d) 15
  3. 3.What is the median of 29, 15, 5, 8 and 26? (a) 15 (b) 5 (c) 26 (d) 8
  4. 4.What is the mode of 10, 14, 5, 3, 5, 5 and 3? (a) 10 (b) 5 (c) 14 (d) 3
  5. 5.What is the median of 3, 23, 35, 38, 1, 4 and 19? (a) 38 (b) 4 (c) 19 (d) 23
  6. 6.The mean of 5 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 19 (b) 18 (c) 26 (d) 14
  7. 7.What is the mode of 20, 9, 17, 9, 12, 20 and 9? (a) 17 (b) 12 (c) 9 (d) 20
  8. 8.What is the mode of 16, 14, 16, 18, 18, 16 and 19? (a) 14 (b) 16 (c) 18 (d) 19
  9. 9.What is the mean of 2, 16, 18, 10, 9 and 23? (a) 14 (b) 13 (c) 12 (d) 15
  10. 10.What is the mean of 12, 16, 7, 19 and 16? (a) 13 (b) 16 (c) 14 (d) 15
  11. 11.What is the mode of 7, 1, 15, 7, 10, 7 and 10? (a) 15 (b) 10 (c) 1 (d) 7
  12. 12.What is the mean of 6, 4, 9, 20 and 21? (a) 10 (b) 15 (c) 13 (d) 12
  13. 13.What is the mode of 12, 2, 11, 12, 6, 12 and 2? (a) 2 (b) 6 (c) 11 (d) 12
  14. 14.The mean of 7 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 20 (b) 16 (c) 19 (d) 28
  15. 15.The mean of 7 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 21 (b) 13 (c) 19 (d) 20
  16. 16.What is the mean of 7, 14, 15 and 20? (a) 16 (b) 14 (c) 15 (d) 13
  17. 17.What is the median of 4, 5, 31, 3 and 37? (a) 4 (b) 5 (c) 16 (d) 31
  18. 18.What is the median of 33, 12, 28, 19, 35, 21 and 20? (a) 19 (b) 21 (c) 28 (d) 24
  19. 19.What is the mean of 3, 4, 18, 4, 3 and 10? (a) 7 (b) 6 (c) 9 (d) 8
  20. 20.What is the median of 13, 39, 7, 31, 17, 30 and 18? (a) 30 (b) 18 (c) 17 (d) 31
  21. 21.The mean of 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 13 (b) 12 (c) 10 (d) 14
  22. 22.What is the mean of 5, 13, 11 and 7? (a) 10 (b) 12 (c) 9 (d) 8
  23. 23.What is the mode of 18, 5, 17, 18, 15, 18 and 15? (a) 15 (b) 17 (c) 5 (d) 18
  24. 24.What is the mean of 16, 11, 3, 3 and 22? (a) 10 (b) 12 (c) 13 (d) 11
  25. 25.The mean of 9 numbers is 30. When the number 60 is added to them, what is the new mean? (a) 33 (b) 34 (c) 45 (d) 30
  26. 26.What is the mode of 18, 18, 6, 5, 1, 5 and 5? (a) 1 (b) 5 (c) 18 (d) 6
  27. 27.What is the median of 28, 10, 15, 3 and 12? (a) 13 (b) 15 (c) 10 (d) 12
  28. 28.What is the mode of 17, 12, 12, 14, 17, 9 and 17? (a) 14 (b) 9 (c) 12 (d) 17
  29. 29.What is the mean of 2, 14, 2, 10, 2 and 18? (a) 7 (b) 8 (c) 9 (d) 10
  30. 30.What is the mode of 14, 1, 3, 3, 8, 14 and 14? (a) 1 (b) 3 (c) 8 (d) 14
  31. 31.What is the median of 33, 15, 1, 36, 19, 18 and 14? (a) 36 (b) 19 (c) 15 (d) 18
  32. 32.What is the median of 12, 15, 22, 4, 10, 17 and 5? (a) 10 (b) 4 (c) 12 (d) 15
  33. 33.What is the mean of 4, 14, 10, 16 and 11? (a) 13 (b) 11 (c) 12 (d) 10
  34. 34.What is the mode of 11, 11, 8, 11, 2, 2 and 17? (a) 2 (b) 8 (c) 11 (d) 17
  35. 35.The mean of 5 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 39 (b) 45 (c) 36 (d) 40
  36. 36.What is the mode of 1, 17, 1, 19, 17, 16 and 17? (a) 1 (b) 17 (c) 19 (d) 16
  37. 37.What is the mean of 12, 9, 20 and 19? (a) 15 (b) 12 (c) 16 (d) 20
  38. 38.The mean of 8 numbers is 40. When the number 4 is added to them, what is the new mean? (a) 40 (b) 37 (c) 36 (d) 22
  39. 39.The mean of 3 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 10 (b) 12 (c) 8 (d) 11
  40. 40.What is the mean of 6, 13, 15 and 10? (a) 13 (b) 11 (c) 12 (d) 10

Answer key

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

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