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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 77 · 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 median of 10, 1, 3, 9 and 12? (a) 3 (b) 9 (c) 10 (d) 7
  2. 2.The mean of 5 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 38 (b) 44 (c) 41 (d) 40
  3. 3.The mean of 6 numbers is 15. When the number 8 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 16
  4. 4.The mean of 7 numbers is 37. When the number 29 is added to them, what is the new mean? (a) 37 (b) 33 (c) 36 (d) 35
  5. 5.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
  6. 6.What is the median of 34, 30, 17, 21 and 35? (a) 34 (b) 17 (c) 30 (d) 21
  7. 7.What is the mean of 13, 6, 9, 20 and 7? (a) 12 (b) 13 (c) 10 (d) 11
  8. 8.What is the median of 31, 36, 8, 24 and 13? (a) 13 (b) 31 (c) 8 (d) 24
  9. 9.What is the mean of 15, 17, 20 and 12? (a) 18 (b) 17 (c) 15 (d) 16
  10. 10.What is the mean of 6, 7, 12 and 15? (a) 9 (b) 10 (c) 11 (d) 8
  11. 11.What is the median of 13, 28, 39, 31, 10, 17 and 5? (a) 13 (b) 31 (c) 17 (d) 28
  12. 12.The mean of 3 numbers is 38. When the number 26 is added to them, what is the new mean? (a) 38 (b) 35 (c) 36 (d) 32
  13. 13.What is the mean of 4, 2, 4, 6, 14 and 6? (a) 8 (b) 7 (c) 6 (d) 5
  14. 14.What is the median of 13, 17, 27, 6, 40, 21 and 11? (a) 21 (b) 13 (c) 6 (d) 17
  15. 15.What is the mode of 9, 10, 7, 7, 15, 15 and 7? (a) 15 (b) 9 (c) 10 (d) 7
  16. 16.What is the median of 29, 36, 18, 33 and 5? (a) 18 (b) 29 (c) 33 (d) 30
  17. 17.What is the mean of 18, 4, 5, 11 and 7? (a) 9 (b) 11 (c) 8 (d) 10
  18. 18.What is the median of 9, 32, 19, 26, 1, 30 and 33? (a) 30 (b) 19 (c) 27 (d) 26
  19. 19.What is the median of 38, 26, 7, 25, 13, 33 and 8? (a) 25 (b) 13 (c) 24 (d) 26
  20. 20.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 16 (b) 31 (c) 11 (d) 15
  21. 21.The mean of 6 numbers is 39. When the number 67 is added to them, what is the new mean? (a) 39 (b) 44 (c) 53 (d) 43
  22. 22.What is the median of 2, 33, 14, 9, 17, 13 and 24? (a) 17 (b) 14 (c) 16 (d) 9
  23. 23.The mean of 8 numbers is 39. When the number 3 is added to them, what is the new mean? (a) 39 (b) 36 (c) 35 (d) 21
  24. 24.The mean of 3 numbers is 27. When the number 11 is added to them, what is the new mean? (a) 19 (b) 23 (c) 27 (d) 24
  25. 25.What is the mode of 18, 2, 7, 7, 5, 7 and 2? (a) 2 (b) 5 (c) 7 (d) 18
  26. 26.What is the mean of 12, 14, 5, 10, 13 and 6? (a) 11 (b) 12 (c) 9 (d) 10
  27. 27.What is the median of 1, 37, 15, 38, 13, 26 and 19? (a) 19 (b) 38 (c) 15 (d) 26
  28. 28.What is the mean of 13, 6, 16 and 17? (a) 15 (b) 12 (c) 14 (d) 13
  29. 29.What is the median of 7, 30, 19, 26, 24, 18 and 34? (a) 26 (b) 19 (c) 24 (d) 25
  30. 30.What is the mode of 5, 9, 1, 9, 16, 9 and 16? (a) 16 (b) 9 (c) 5 (d) 1
  31. 31.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 12
  32. 32.What is the mode of 7, 18, 6, 7, 15, 18 and 7? (a) 18 (b) 7 (c) 6 (d) 15
  33. 33.What is the mode of 16, 14, 16, 3, 3, 3 and 10? (a) 3 (b) 16 (c) 14 (d) 10
  34. 34.What is the mean of 8, 14, 11 and 19? (a) 13 (b) 12 (c) 14 (d) 15
  35. 35.The mean of 4 numbers is 40. When the number 60 is added to them, what is the new mean? (a) 50 (b) 45 (c) 40 (d) 44
  36. 36.What is the mean of 20, 3, 8, 14, 11 and 22? (a) 15 (b) 12 (c) 13 (d) 14
  37. 37.What is the mean of 17, 4, 6, 6, 9 and 12? (a) 8 (b) 10 (c) 9 (d) 11
  38. 38.What is the mean of 3, 16, 7 and 18? (a) 13 (b) 10 (c) 12 (d) 11
  39. 39.What is the mode of 9, 12, 17, 4, 17, 17 and 12? (a) 9 (b) 12 (c) 17 (d) 4
  40. 40.What is the median of 29, 11, 31, 19 and 32? (a) 29 (b) 19 (c) 31 (d) 30

Answer key

  1. 9
  2. 40
  3. 14
  4. 36
  5. 14
  6. 30
  7. 11
  8. 24
  9. 16
  10. 10
  11. 17
  12. 35
  13. 6
  14. 17
  15. 7
  16. 29
  17. 9
  18. 26
  19. 25
  20. 15
  21. 43
  22. 14
  23. 35
  24. 23
  25. 7
  26. 10
  27. 19
  28. 13
  29. 24
  30. 9
  31. 13
  32. 7
  33. 3
  34. 13
  35. 44
  36. 13
  37. 9
  38. 11
  39. 17
  40. 29

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