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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 449 · 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 19, 19, 6, 2, 6, 12 and 6? (a) 2 (b) 19 (c) 6 (d) 12
  2. 2.What is the median of 12, 3, 10, 20 and 13? (a) 12 (b) 10 (c) 13 (d) 11
  3. 3.The mean of 9 numbers is 24. When the number 44 is added to them, what is the new mean? (a) 24 (b) 34 (c) 27 (d) 26
  4. 4.What is the mean of 5, 18, 20, 4 and 8? (a) 12 (b) 13 (c) 10 (d) 11
  5. 5.What is the mean of 18, 18, 2 and 10? (a) 16 (b) 11 (c) 12 (d) 13
  6. 6.What is the mode of 12, 2, 10, 8, 8, 2 and 8? (a) 8 (b) 10 (c) 12 (d) 2
  7. 7.The mean of 7 numbers is 24. When the number 48 is added to them, what is the new mean? (a) 27 (b) 36 (c) 24 (d) 28
  8. 8.What is the mean of 4, 9, 6 and 13? (a) 7 (b) 9 (c) 10 (d) 8
  9. 9.What is the median of 38, 21, 2, 11 and 29? (a) 29 (b) 2 (c) 21 (d) 11
  10. 10.What is the mean of 6, 3, 2, 8, 9 and 8? (a) 7 (b) 8 (c) 5 (d) 6
  11. 11.The mean of 4 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 21 (b) 20 (c) 24 (d) 14
  12. 12.What is the mode of 3, 3, 3, 4, 1, 1 and 2? (a) 4 (b) 3 (c) 1 (d) 2
  13. 13.The mean of 3 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 12
  14. 14.The mean of 7 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 18 (b) 14 (c) 15 (d) 16
  15. 15.What is the mode of 18, 13, 19, 13, 18, 16 and 13? (a) 19 (b) 18 (c) 16 (d) 13
  16. 16.The mean of 5 numbers is 15. When the number 9 is added to them, what is the new mean? (a) 13 (b) 15 (c) 12 (d) 14
  17. 17.What is the mean of 18, 2, 8, 14, 19 and 11? (a) 12 (b) 13 (c) 11 (d) 14
  18. 18.What is the mode of 2, 13, 16, 2, 16, 8 and 16? (a) 16 (b) 13 (c) 2 (d) 8
  19. 19.What is the median of 6, 30, 10, 1 and 17? (a) 10 (b) 6 (c) 11 (d) 17
  20. 20.The mean of 4 numbers is 20. When the number 5 is added to them, what is the new mean? (a) 18 (b) 20 (c) 16 (d) 17
  21. 21.What is the mean of 12, 11, 17, 19, 2 and 11? (a) 11 (b) 14 (c) 13 (d) 12
  22. 22.What is the mode of 5, 18, 18, 20, 5, 16 and 5? (a) 20 (b) 16 (c) 5 (d) 18
  23. 23.What is the mean of 5, 2, 16 and 17? (a) 9 (b) 11 (c) 8 (d) 10
  24. 24.What is the mean of 15, 3, 5, 3, 7 and 9? (a) 8 (b) 9 (c) 6 (d) 7
  25. 25.What is the mode of 7, 20, 6, 7, 9, 7 and 6? (a) 9 (b) 6 (c) 7 (d) 20
  26. 26.What is the mode of 10, 20, 20, 8, 2, 10 and 20? (a) 2 (b) 8 (c) 20 (d) 10
  27. 27.What is the median of 22, 30, 26, 29 and 34? (a) 28 (b) 29 (c) 30 (d) 26
  28. 28.The mean of 5 numbers is 18. When the number 30 is added to them, what is the new mean? (a) 24 (b) 18 (c) 21 (d) 20
  29. 29.What is the mean of 5, 4, 4 and 19? (a) 8 (b) 10 (c) 9 (d) 7
  30. 30.What is the mean of 15, 11, 11, 3 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  31. 31.What is the mode of 8, 8, 16, 3, 16, 17 and 16? (a) 17 (b) 3 (c) 8 (d) 16
  32. 32.The mean of 6 numbers is 22. When the number 1 is added to them, what is the new mean? (a) 18 (b) 22 (c) 20 (d) 19
  33. 33.What is the median of 19, 10, 28, 8, 13, 39 and 9? (a) 8 (b) 19 (c) 18 (d) 13
  34. 34.What is the median of 4, 5, 38, 25 and 27? (a) 25 (b) 27 (c) 5 (d) 38
  35. 35.What is the mode of 1, 1, 13, 5, 13, 13 and 2? (a) 13 (b) 5 (c) 1 (d) 2
  36. 36.What is the mean of 12, 5, 19, 19, 3 and 2? (a) 10 (b) 9 (c) 12 (d) 11
  37. 37.What is the mean of 14, 2, 20, 5, 12 and 13? (a) 11 (b) 13 (c) 12 (d) 10
  38. 38.The mean of 7 numbers is 12. When the number 28 is added to them, what is the new mean? (a) 15 (b) 12 (c) 20 (d) 14
  39. 39.What is the mean of 14, 11, 10, 6 and 14? (a) 12 (b) 10 (c) 11 (d) 13
  40. 40.What is the mode of 6, 6, 2, 2, 6, 11 and 16? (a) 16 (b) 11 (c) 2 (d) 6

Answer key

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

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