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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 653 · 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 28, 23, 31, 26, 6, 5 and 4? (a) 6 (b) 24 (c) 23 (d) 26
  2. 2.What is the mean of 18, 15, 16, 18 and 23? (a) 19 (b) 15 (c) 17 (d) 18
  3. 3.What is the mode of 18, 5, 18, 13, 13, 18 and 15? (a) 5 (b) 18 (c) 13 (d) 15
  4. 4.What is the mean of 20, 18, 18, 4, 3 and 9? (a) 13 (b) 11 (c) 14 (d) 12
  5. 5.What is the mean of 12, 7, 16 and 13? (a) 13 (b) 11 (c) 12 (d) 16
  6. 6.What is the mode of 13, 1, 14, 1, 11, 11 and 11? (a) 11 (b) 13 (c) 14 (d) 1
  7. 7.What is the median of 4, 7, 37, 39, 29, 33 and 16? (a) 29 (b) 33 (c) 39 (d) 16
  8. 8.What is the mean of 20, 12, 4 and 20? (a) 14 (b) 13 (c) 15 (d) 16
  9. 9.What is the median of 4, 11, 8, 27 and 39? (a) 8 (b) 11 (c) 27 (d) 12
  10. 10.What is the mean of 14, 11, 6, 13 and 21? (a) 12 (b) 15 (c) 14 (d) 13
  11. 11.What is the median of 18, 11, 31, 27, 19, 14 and 8? (a) 18 (b) 19 (c) 27 (d) 14
  12. 12.The mean of 8 numbers is 18. When the number 9 is added to them, what is the new mean? (a) 19 (b) 18 (c) 17 (d) 16
  13. 13.What is the median of 9, 26, 17, 5, 15, 23 and 21? (a) 17 (b) 15 (c) 21 (d) 5
  14. 14.What is the median of 5, 20, 36, 21, 6, 13 and 12? (a) 13 (b) 12 (c) 21 (d) 20
  15. 15.What is the mode of 1, 14, 1, 2, 13, 1 and 14? (a) 13 (b) 14 (c) 2 (d) 1
  16. 16.What is the median of 21, 16, 38, 26, 32, 30 and 3? (a) 26 (b) 21 (c) 27 (d) 30
  17. 17.What is the median of 24, 11, 30, 22 and 2? (a) 30 (b) 22 (c) 11 (d) 24
  18. 18.What is the mean of 10, 19, 7 and 8? (a) 12 (b) 11 (c) 13 (d) 10
  19. 19.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 48 (b) 37 (c) 33 (d) 36
  20. 20.What is the mean of 18, 3, 6, 3, 4 and 20? (a) 8 (b) 11 (c) 9 (d) 10
  21. 21.What is the mode of 8, 17, 15, 20, 15, 8 and 15? (a) 17 (b) 20 (c) 8 (d) 15
  22. 22.What is the mode of 5, 5, 1, 5, 14, 14 and 6? (a) 1 (b) 6 (c) 5 (d) 14
  23. 23.What is the mean of 14, 9, 3, 19 and 5? (a) 9 (b) 10 (c) 12 (d) 11
  24. 24.The mean of 4 numbers is 38. When the number 28 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 33
  25. 25.What is the mode of 12, 10, 3, 12, 1, 10 and 10? (a) 12 (b) 3 (c) 1 (d) 10
  26. 26.What is the median of 23, 11, 34, 40, 28, 18 and 37? (a) 23 (b) 40 (c) 28 (d) 34
  27. 27.What is the mode of 16, 5, 12, 5, 17, 16 and 16? (a) 12 (b) 17 (c) 16 (d) 5
  28. 28.The mean of 3 numbers is 37. When the number 41 is added to them, what is the new mean? (a) 37 (b) 40 (c) 39 (d) 38
  29. 29.What is the median of 4, 7, 15, 21, 10, 29 and 24? (a) 16 (b) 21 (c) 15 (d) 10
  30. 30.What is the mean of 4, 15, 6, 8, 6 and 9? (a) 9 (b) 7 (c) 8 (d) 10
  31. 31.The mean of 6 numbers is 37. When the number 58 is added to them, what is the new mean? (a) 41 (b) 39 (c) 40 (d) 37
  32. 32.What is the median of 26, 2, 7, 31 and 27? (a) 27 (b) 7 (c) 26 (d) 25
  33. 33.What is the median of 1, 29, 27, 9, 4, 23 and 34? (a) 27 (b) 24 (c) 23 (d) 9
  34. 34.What is the mode of 11, 1, 16, 16, 1, 1 and 4? (a) 11 (b) 4 (c) 1 (d) 16
  35. 35.What is the mode of 19, 20, 11, 19, 14, 14 and 14? (a) 14 (b) 11 (c) 20 (d) 19
  36. 36.What is the median of 9, 5, 37, 31 and 8? (a) 9 (b) 37 (c) 18 (d) 31
  37. 37.The mean of 9 numbers is 33. When the number 3 is added to them, what is the new mean? (a) 30 (b) 18 (c) 33 (d) 31
  38. 38.What is the mean of 6, 8, 17 and 21? (a) 14 (b) 15 (c) 12 (d) 13
  39. 39.What is the median of 21, 24, 39, 20 and 30? (a) 39 (b) 24 (c) 21 (d) 30
  40. 40.What is the mean of 13, 16, 11, 7 and 18? (a) 15 (b) 13 (c) 14 (d) 12

Answer key

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

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