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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 68 · 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 15, 4, 2, 18, 3 and 24? (a) 11 (b) 10 (c) 12 (d) 13
  2. 2.What is the mode of 9, 9, 4, 4, 18, 9 and 20? (a) 9 (b) 20 (c) 18 (d) 4
  3. 3.What is the mode of 18, 13, 18, 17, 18, 5 and 17? (a) 18 (b) 13 (c) 17 (d) 5
  4. 4.What is the mean of 9, 20, 4, 16, 5 and 18? (a) 13 (b) 14 (c) 12 (d) 11
  5. 5.What is the mean of 9, 11, 5 and 3? (a) 8 (b) 6 (c) 9 (d) 7
  6. 6.What is the mean of 9, 14, 7, 3 and 12? (a) 8 (b) 10 (c) 11 (d) 9
  7. 7.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 21 (c) 23 (d) 25
  8. 8.What is the median of 9, 4, 32, 13, 8, 5 and 36? (a) 13 (b) 8 (c) 10 (d) 9
  9. 9.What is the mode of 13, 13, 8, 17, 13, 19 and 8? (a) 19 (b) 8 (c) 13 (d) 17
  10. 10.The mean of 7 numbers is 39. When the number 7 is added to them, what is the new mean? (a) 36 (b) 39 (c) 35 (d) 23
  11. 11.What is the mode of 10, 17, 8, 17, 18, 17 and 8? (a) 17 (b) 18 (c) 10 (d) 8
  12. 12.What is the mean of 14, 4, 7, 10, 5 and 8? (a) 7 (b) 8 (c) 10 (d) 9
  13. 13.What is the mean of 4, 7, 14, 15 and 5? (a) 11 (b) 10 (c) 9 (d) 8
  14. 14.The mean of 3 numbers is 29. When the number 41 is added to them, what is the new mean? (a) 33 (b) 35 (c) 29 (d) 32
  15. 15.What is the mean of 4, 14, 3, 13, 17 and 9? (a) 9 (b) 12 (c) 10 (d) 11
  16. 16.What is the mode of 16, 2, 12, 15, 15, 12 and 12? (a) 2 (b) 12 (c) 16 (d) 15
  17. 17.What is the mean of 14, 14, 4, 11 and 12? (a) 12 (b) 11 (c) 10 (d) 13
  18. 18.The mean of 6 numbers is 22. When the number 29 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 22
  19. 19.The mean of 3 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 27 (b) 22 (c) 30 (d) 26
  20. 20.What is the mean of 4, 5, 7, 11 and 3? (a) 8 (b) 5 (c) 7 (d) 6
  21. 21.What is the median of 10, 30, 26, 5 and 2? (a) 26 (b) 10 (c) 5 (d) 11
  22. 22.What is the median of 8, 15, 10, 26, 29, 11 and 28? (a) 15 (b) 11 (c) 16 (d) 26
  23. 23.What is the median of 38, 40, 32, 28 and 7? (a) 28 (b) 29 (c) 32 (d) 38
  24. 24.The mean of 7 numbers is 30. When the number 38 is added to them, what is the new mean? (a) 31 (b) 34 (c) 32 (d) 30
  25. 25.What is the mean of 11, 10, 10 and 5? (a) 8 (b) 10 (c) 12 (d) 9
  26. 26.What is the mean of 4, 6, 5 and 9? (a) 5 (b) 7 (c) 6 (d) 8
  27. 27.What is the mean of 13, 12, 7, 7 and 6? (a) 9 (b) 8 (c) 10 (d) 11
  28. 28.What is the median of 20, 9, 3, 29, 15, 6 and 32? (a) 29 (b) 9 (c) 20 (d) 15
  29. 29.What is the mean of 12, 13, 5 and 10? (a) 9 (b) 10 (c) 8 (d) 11
  30. 30.The mean of 4 numbers is 13. When the number 18 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 13
  31. 31.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 25 (b) 17 (c) 23 (d) 24
  32. 32.What is the median of 15, 34, 7, 6, 20, 35 and 19? (a) 6 (b) 15 (c) 20 (d) 19
  33. 33.What is the mean of 7, 11, 19, 2 and 16? (a) 10 (b) 12 (c) 13 (d) 11
  34. 34.What is the median of 37, 17, 31, 25 and 13? (a) 31 (b) 25 (c) 26 (d) 17
  35. 35.What is the mode of 4, 11, 7, 14, 4, 4 and 11? (a) 11 (b) 7 (c) 4 (d) 14
  36. 36.What is the mean of 16, 6, 16, 4, 16 and 14? (a) 13 (b) 12 (c) 11 (d) 14
  37. 37.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 39 (b) 30 (c) 25 (d) 29
  38. 38.What is the mode of 15, 9, 5, 5, 4, 9 and 5? (a) 5 (b) 9 (c) 15 (d) 4
  39. 39.The mean of 6 numbers is 20. When the number 6 is added to them, what is the new mean? (a) 19 (b) 20 (c) 18 (d) 13
  40. 40.What is the mean of 9, 4, 15, 12, 15 and 23? (a) 14 (b) 15 (c) 12 (d) 13

Answer key

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

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