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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 568 · 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 8 numbers is 39. When the number 66 is added to them, what is the new mean? (a) 41 (b) 39 (c) 42 (d) 43
  2. 2.What is the median of 20, 30, 31, 3 and 33? (a) 30 (b) 29 (c) 31 (d) 20
  3. 3.What is the median of 21, 29, 25, 20 and 10? (a) 22 (b) 21 (c) 25 (d) 20
  4. 4.What is the median of 8, 28, 29, 9 and 12? (a) 29 (b) 9 (c) 12 (d) 28
  5. 5.What is the mode of 1, 9, 9, 13, 9, 17 and 13? (a) 9 (b) 1 (c) 17 (d) 13
  6. 6.What is the median of 20, 23, 30, 39 and 14? (a) 20 (b) 23 (c) 24 (d) 30
  7. 7.What is the mean of 2, 8, 2, 12 and 21? (a) 8 (b) 9 (c) 10 (d) 11
  8. 8.What is the mean of 2, 18, 20, 10 and 5? (a) 13 (b) 12 (c) 10 (d) 11
  9. 9.What is the mean of 9, 16, 12 and 11? (a) 13 (b) 11 (c) 12 (d) 16
  10. 10.What is the mean of 3, 4, 12, 20, 9 and 18? (a) 13 (b) 10 (c) 11 (d) 12
  11. 11.What is the mean of 11, 9, 18 and 14? (a) 12 (b) 13 (c) 15 (d) 14
  12. 12.What is the mode of 3, 8, 8, 12, 5, 8 and 5? (a) 8 (b) 5 (c) 3 (d) 12
  13. 13.What is the mean of 2, 13, 9 and 20? (a) 11 (b) 13 (c) 10 (d) 12
  14. 14.The mean of 6 numbers is 11. When the number 32 is added to them, what is the new mean? (a) 13 (b) 11 (c) 14 (d) 15
  15. 15.The mean of 3 numbers is 37. When the number 21 is added to them, what is the new mean? (a) 29 (b) 37 (c) 33 (d) 34
  16. 16.What is the mean of 13, 4, 2, 15, 19 and 13? (a) 11 (b) 10 (c) 13 (d) 12
  17. 17.The mean of 6 numbers is 40. When the number 33 is added to them, what is the new mean? (a) 40 (b) 39 (c) 38 (d) 41
  18. 18.What is the median of 17, 12, 7, 10 and 5? (a) 11 (b) 7 (c) 10 (d) 12
  19. 19.What is the median of 4, 27, 20, 28 and 6? (a) 20 (b) 17 (c) 6 (d) 27
  20. 20.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 43 (b) 39 (c) 42 (d) 41
  21. 21.The mean of 8 numbers is 15. When the number 42 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 15
  22. 22.What is the mean of 3, 19, 10, 7 and 21? (a) 10 (b) 13 (c) 15 (d) 12
  23. 23.What is the mode of 1, 1, 20, 1, 3, 3 and 19? (a) 19 (b) 3 (c) 1 (d) 20
  24. 24.What is the median of 8, 23, 26, 14, 2, 4 and 11? (a) 11 (b) 8 (c) 14 (d) 12
  25. 25.What is the median of 36, 19, 7, 6, 39, 18 and 35? (a) 6 (b) 18 (c) 19 (d) 35
  26. 26.What is the mode of 1, 15, 15, 1, 7, 15 and 2? (a) 15 (b) 2 (c) 1 (d) 7
  27. 27.What is the mode of 11, 9, 15, 7, 11, 15 and 11? (a) 9 (b) 11 (c) 7 (d) 15
  28. 28.The mean of 5 numbers is 18. When the number 42 is added to them, what is the new mean? (a) 22 (b) 23 (c) 30 (d) 18
  29. 29.What is the median of 32, 36, 37, 19 and 1? (a) 36 (b) 37 (c) 25 (d) 32
  30. 30.What is the median of 19, 33, 14, 37 and 29? (a) 19 (b) 14 (c) 29 (d) 33
  31. 31.The mean of 9 numbers is 12. When the number 42 is added to them, what is the new mean? (a) 27 (b) 16 (c) 15 (d) 12
  32. 32.The mean of 8 numbers is 26. When the number 44 is added to them, what is the new mean? (a) 26 (b) 29 (c) 28 (d) 35
  33. 33.What is the mean of 10, 14, 5, 13, 17 and 13? (a) 13 (b) 14 (c) 12 (d) 11
  34. 34.The mean of 4 numbers is 30. When the number 50 is added to them, what is the new mean? (a) 35 (b) 34 (c) 40 (d) 30
  35. 35.What is the median of 6, 7, 8, 15 and 23? (a) 7 (b) 9 (c) 15 (d) 8
  36. 36.The mean of 7 numbers is 26. When the number 50 is added to them, what is the new mean? (a) 26 (b) 38 (c) 30 (d) 29
  37. 37.The mean of 6 numbers is 15. When the number 29 is added to them, what is the new mean? (a) 22 (b) 15 (c) 18 (d) 17
  38. 38.What is the mean of 5, 10, 12, 6 and 7? (a) 8 (b) 10 (c) 9 (d) 7
  39. 39.What is the mode of 7, 16, 4, 10, 4, 4 and 7? (a) 7 (b) 4 (c) 10 (d) 16
  40. 40.What is the median of 15, 13, 19, 4, 1, 2 and 30? (a) 4 (b) 12 (c) 15 (d) 13

Answer key

  1. 42
  2. 30
  3. 21
  4. 12
  5. 9
  6. 23
  7. 9
  8. 11
  9. 12
  10. 11
  11. 13
  12. 8
  13. 11
  14. 14
  15. 33
  16. 11
  17. 39
  18. 10
  19. 20
  20. 41
  21. 18
  22. 12
  23. 1
  24. 11
  25. 19
  26. 15
  27. 11
  28. 22
  29. 32
  30. 29
  31. 15
  32. 28
  33. 12
  34. 34
  35. 8
  36. 29
  37. 17
  38. 8
  39. 4
  40. 13

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