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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 546 · 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 11, 5, 5, 3 and 6? (a) 5 (b) 8 (c) 6 (d) 7
  2. 2.The mean of 4 numbers is 12. When the number 27 is added to them, what is the new mean? (a) 14 (b) 12 (c) 16 (d) 15
  3. 3.The mean of 9 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 14 (b) 22 (c) 15 (d) 12
  4. 4.What is the median of 24, 11, 39, 40, 2, 26 and 5? (a) 40 (b) 21 (c) 26 (d) 24
  5. 5.What is the median of 26, 9, 7, 4, 8, 38 and 6? (a) 8 (b) 4 (c) 9 (d) 14
  6. 6.What is the mode of 6, 8, 5, 6, 6, 16 and 8? (a) 5 (b) 6 (c) 8 (d) 16
  7. 7.What is the median of 26, 19, 6, 25 and 8? (a) 25 (b) 19 (c) 6 (d) 8
  8. 8.What is the median of 25, 17, 27, 35, 1, 30 and 23? (a) 23 (b) 25 (c) 27 (d) 35
  9. 9.What is the mode of 3, 9, 11, 2, 9, 3 and 9? (a) 11 (b) 3 (c) 2 (d) 9
  10. 10.What is the mean of 20, 4, 16 and 20? (a) 20 (b) 12 (c) 15 (d) 16
  11. 11.What is the mode of 12, 12, 10, 18, 13, 13 and 13? (a) 12 (b) 13 (c) 18 (d) 10
  12. 12.What is the mean of 9, 17, 10 and 8? (a) 12 (b) 10 (c) 11 (d) 13
  13. 13.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 16 (b) 12 (c) 17 (d) 22
  14. 14.What is the mean of 11, 16, 7 and 6? (a) 8 (b) 11 (c) 10 (d) 9
  15. 15.What is the median of 16, 10, 23, 1, 27, 9 and 12? (a) 1 (b) 14 (c) 12 (d) 16
  16. 16.What is the median of 24, 23, 35, 15 and 27? (a) 23 (b) 24 (c) 35 (d) 27
  17. 17.What is the mean of 11, 3, 13 and 9? (a) 9 (b) 12 (c) 10 (d) 8
  18. 18.What is the mean of 18, 13, 16 and 5? (a) 14 (b) 12 (c) 15 (d) 13
  19. 19.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 30 (b) 34 (c) 20 (d) 31
  20. 20.What is the mean of 14, 11, 2 and 21? (a) 11 (b) 12 (c) 16 (d) 13
  21. 21.What is the median of 25, 28, 36, 34 and 37? (a) 36 (b) 34 (c) 32 (d) 28
  22. 22.What is the mode of 4, 13, 18, 18, 18, 4 and 10? (a) 4 (b) 18 (c) 13 (d) 10
  23. 23.What is the mode of 3, 5, 3, 3, 14, 13 and 5? (a) 3 (b) 14 (c) 5 (d) 13
  24. 24.What is the mean of 20, 16, 8 and 8? (a) 14 (b) 15 (c) 13 (d) 12
  25. 25.What is the median of 10, 31, 32, 29, 34, 17 and 11? (a) 30 (b) 17 (c) 31 (d) 29
  26. 26.What is the mode of 12, 4, 4, 1, 4, 3 and 3? (a) 12 (b) 4 (c) 1 (d) 3
  27. 27.The mean of 6 numbers is 35. When the number 63 is added to them, what is the new mean? (a) 35 (b) 40 (c) 49 (d) 39
  28. 28.What is the median of 26, 36, 10, 4 and 25? (a) 26 (b) 10 (c) 24 (d) 25
  29. 29.What is the median of 27, 29, 28, 20 and 26? (a) 27 (b) 28 (c) 29 (d) 26
  30. 30.What is the mean of 8, 2, 13 and 5? (a) 9 (b) 7 (c) 6 (d) 8
  31. 31.What is the median of 32, 12, 10, 14, 29, 27 and 11? (a) 15 (b) 12 (c) 14 (d) 27
  32. 32.What is the median of 36, 16, 19, 26, 1, 28 and 25? (a) 19 (b) 26 (c) 25 (d) 24
  33. 33.The mean of 7 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 41 (b) 43 (c) 39 (d) 40
  34. 34.What is the median of 25, 15, 10, 12, 36, 11 and 38? (a) 25 (b) 21 (c) 12 (d) 15
  35. 35.What is the median of 32, 23, 31, 7 and 40? (a) 23 (b) 30 (c) 31 (d) 32
  36. 36.The mean of 7 numbers is 32. When the number 48 is added to them, what is the new mean? (a) 34 (b) 32 (c) 35 (d) 40
  37. 37.The mean of 5 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 37 (b) 40 (c) 38 (d) 31
  38. 38.What is the mode of 10, 19, 19, 16, 3, 3 and 19? (a) 16 (b) 10 (c) 3 (d) 19
  39. 39.What is the mean of 15, 14, 5, 7, 10 and 9? (a) 11 (b) 9 (c) 10 (d) 12
  40. 40.The mean of 9 numbers is 31. When the number 71 is added to them, what is the new mean? (a) 36 (b) 35 (c) 31 (d) 51

Answer key

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

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