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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 539 · 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.The mean of 3 numbers is 27. When the number 31 is added to them, what is the new mean? (a) 29 (b) 30 (c) 28 (d) 27
  2. 2.What is the median of 39, 11, 6, 20, 15, 37 and 24? (a) 15 (b) 20 (c) 24 (d) 21
  3. 3.What is the mode of 5, 6, 6, 13, 5, 5 and 18? (a) 18 (b) 6 (c) 5 (d) 13
  4. 4.The mean of 3 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 17 (b) 22 (c) 21 (d) 25
  5. 5.What is the mode of 10, 20, 20, 20, 12, 6 and 12? (a) 20 (b) 6 (c) 12 (d) 10
  6. 6.The mean of 5 numbers is 16. When the number 10 is added to them, what is the new mean? (a) 14 (b) 13 (c) 16 (d) 15
  7. 7.What is the mean of 11, 20, 5 and 4? (a) 8 (b) 11 (c) 9 (d) 10
  8. 8.What is the mean of 5, 15, 19 and 13? (a) 14 (b) 13 (c) 15 (d) 12
  9. 9.What is the mean of 12, 8, 15 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  10. 10.What is the median of 13, 15, 6, 1, 19, 3 and 27? (a) 12 (b) 13 (c) 1 (d) 15
  11. 11.What is the mode of 13, 10, 18, 16, 10, 10 and 13? (a) 16 (b) 18 (c) 13 (d) 10
  12. 12.What is the mode of 5, 13, 6, 19, 13, 5 and 5? (a) 19 (b) 5 (c) 6 (d) 13
  13. 13.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 17 (b) 23 (c) 24 (d) 25
  14. 14.What is the median of 29, 30, 11, 13 and 20? (a) 13 (b) 29 (c) 20 (d) 11
  15. 15.What is the mean of 6, 18, 11 and 17? (a) 13 (b) 15 (c) 14 (d) 12
  16. 16.The mean of 5 numbers is 23. When the number 5 is added to them, what is the new mean? (a) 21 (b) 23 (c) 20 (d) 14
  17. 17.What is the mean of 20, 20, 20, 6 and 9? (a) 16 (b) 17 (c) 14 (d) 15
  18. 18.What is the median of 1, 11, 37, 6, 2, 12 and 26? (a) 6 (b) 11 (c) 12 (d) 10
  19. 19.What is the median of 4, 36, 15, 30 and 13? (a) 30 (b) 13 (c) 16 (d) 15
  20. 20.What is the mean of 10, 9, 18, 6 and 7? (a) 12 (b) 9 (c) 10 (d) 11
  21. 21.The mean of 3 numbers is 31. When the number 35 is added to them, what is the new mean? (a) 33 (b) 32 (c) 34 (d) 31
  22. 22.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 25 (b) 32 (c) 28 (d) 27
  23. 23.The mean of 8 numbers is 39. When the number 30 is added to them, what is the new mean? (a) 38 (b) 40 (c) 37 (d) 39
  24. 24.What is the mode of 6, 10, 19, 10, 15, 10 and 6? (a) 19 (b) 15 (c) 10 (d) 6
  25. 25.The mean of 8 numbers is 15. When the number 24 is added to them, what is the new mean? (a) 17 (b) 15 (c) 18 (d) 16
  26. 26.What is the median of 17, 37, 29, 23 and 22? (a) 23 (b) 24 (c) 29 (d) 22
  27. 27.The mean of 4 numbers is 12. When the number 2 is added to them, what is the new mean? (a) 7 (b) 10 (c) 12 (d) 11
  28. 28.What is the mean of 3, 10, 6 and 17? (a) 8 (b) 12 (c) 9 (d) 10
  29. 29.What is the mode of 14, 12, 12, 18, 12, 14 and 9? (a) 14 (b) 18 (c) 12 (d) 9
  30. 30.What is the median of 11, 2, 4, 10, 29, 22 and 7? (a) 7 (b) 9 (c) 11 (d) 10
  31. 31.The mean of 3 numbers is 34. When the number 38 is added to them, what is the new mean? (a) 34 (b) 36 (c) 37 (d) 35
  32. 32.What is the mode of 11, 12, 16, 12, 12, 10 and 11? (a) 10 (b) 11 (c) 12 (d) 16
  33. 33.The mean of 7 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 19 (b) 20 (c) 12 (d) 18
  34. 34.What is the mean of 8, 17, 7, 10, 17 and 13? (a) 11 (b) 14 (c) 13 (d) 12
  35. 35.What is the mean of 2, 13, 8 and 17? (a) 10 (b) 8 (c) 9 (d) 11
  36. 36.What is the mean of 19, 18, 7, 10 and 16? (a) 16 (b) 13 (c) 15 (d) 14
  37. 37.What is the mean of 13, 10, 2, 12, 18 and 11? (a) 11 (b) 13 (c) 10 (d) 12
  38. 38.What is the mean of 4, 19, 2, 17 and 8? (a) 9 (b) 12 (c) 10 (d) 11
  39. 39.What is the mode of 9, 4, 5, 11, 5, 5 and 11? (a) 9 (b) 5 (c) 11 (d) 4
  40. 40.What is the mode of 13, 16, 18, 18, 3, 18 and 16? (a) 16 (b) 3 (c) 18 (d) 13

Answer key

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

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