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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 145 · 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 26, 39, 6, 34 and 31? (a) 6 (b) 34 (c) 26 (d) 31
  2. 2.What is the mean of 3, 4, 8, 20, 12 and 13? (a) 10 (b) 9 (c) 12 (d) 11
  3. 3.What is the median of 15, 34, 18, 37, 8, 19 and 31? (a) 37 (b) 19 (c) 31 (d) 18
  4. 4.What is the median of 9, 1, 12, 10, 13, 33 and 26? (a) 11 (b) 13 (c) 12 (d) 10
  5. 5.What is the mean of 11, 17, 6, 11 and 10? (a) 10 (b) 12 (c) 13 (d) 11
  6. 6.What is the mode of 12, 3, 3, 10, 4, 4 and 3? (a) 4 (b) 12 (c) 3 (d) 10
  7. 7.The mean of 8 numbers is 30. When the number 57 is added to them, what is the new mean? (a) 34 (b) 30 (c) 32 (d) 33
  8. 8.What is the mean of 5, 7, 4 and 20? (a) 8 (b) 9 (c) 10 (d) 12
  9. 9.What is the mean of 13, 3, 11 and 9? (a) 12 (b) 10 (c) 9 (d) 8
  10. 10.What is the mean of 9, 2, 9, 8 and 7? (a) 8 (b) 6 (c) 9 (d) 7
  11. 11.What is the mode of 19, 18, 6, 15, 19, 18 and 18? (a) 15 (b) 19 (c) 6 (d) 18
  12. 12.What is the median of 29, 4, 36, 25 and 38? (a) 30 (b) 25 (c) 29 (d) 36
  13. 13.What is the mean of 8, 17, 4, 11 and 20? (a) 15 (b) 12 (c) 13 (d) 10
  14. 14.The mean of 5 numbers is 29. When the number 53 is added to them, what is the new mean? (a) 34 (b) 33 (c) 29 (d) 41
  15. 15.What is the mode of 14, 16, 16, 14, 8, 16 and 7? (a) 14 (b) 7 (c) 16 (d) 8
  16. 16.What is the mean of 17, 2, 14, 17, 16 and 18? (a) 12 (b) 13 (c) 14 (d) 15
  17. 17.What is the mean of 2, 17, 14, 18 and 4? (a) 10 (b) 11 (c) 12 (d) 13
  18. 18.What is the mean of 17, 18, 6, 12 and 12? (a) 14 (b) 13 (c) 12 (d) 15
  19. 19.The mean of 4 numbers is 16. When the number 11 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 14
  20. 20.What is the median of 5, 18, 25, 39 and 15? (a) 19 (b) 25 (c) 15 (d) 18
  21. 21.What is the median of 23, 18, 29, 34 and 28? (a) 28 (b) 29 (c) 23 (d) 27
  22. 22.What is the mode of 3, 10, 3, 16, 10, 3 and 4? (a) 16 (b) 4 (c) 3 (d) 10
  23. 23.The mean of 3 numbers is 21. When the number 25 is added to them, what is the new mean? (a) 22 (b) 23 (c) 24 (d) 21
  24. 24.What is the median of 1, 40, 36, 12 and 6? (a) 19 (b) 36 (c) 6 (d) 12
  25. 25.What is the mean of 19, 15, 2 and 8? (a) 13 (b) 11 (c) 10 (d) 12
  26. 26.What is the mean of 20, 13, 14, 11 and 12? (a) 16 (b) 15 (c) 13 (d) 14
  27. 27.The mean of 6 numbers is 36. When the number 15 is added to them, what is the new mean? (a) 36 (b) 32 (c) 33 (d) 34
  28. 28.What is the mean of 17, 9, 8 and 6? (a) 8 (b) 10 (c) 9 (d) 11
  29. 29.What is the mode of 12, 12, 11, 10, 10, 6 and 10? (a) 12 (b) 10 (c) 11 (d) 6
  30. 30.What is the mode of 12, 7, 19, 19, 10, 12 and 12? (a) 19 (b) 7 (c) 12 (d) 10
  31. 31.What is the median of 17, 12, 29, 30 and 8? (a) 18 (b) 12 (c) 17 (d) 29
  32. 32.The mean of 4 numbers is 18. When the number 28 is added to them, what is the new mean? (a) 21 (b) 18 (c) 23 (d) 20
  33. 33.What is the median of 2, 10, 35, 7 and 24? (a) 24 (b) 7 (c) 10 (d) 35
  34. 34.The mean of 7 numbers is 25. When the number 49 is added to them, what is the new mean? (a) 29 (b) 28 (c) 37 (d) 25
  35. 35.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 29 (b) 32 (c) 30 (d) 31
  36. 36.What is the median of 27, 19, 6, 29 and 10? (a) 10 (b) 27 (c) 6 (d) 19
  37. 37.The mean of 6 numbers is 23. When the number 9 is added to them, what is the new mean? (a) 23 (b) 21 (c) 22 (d) 16
  38. 38.What is the mode of 6, 6, 6, 9, 12, 9 and 15? (a) 12 (b) 15 (c) 6 (d) 9
  39. 39.What is the median of 34, 9, 24, 28, 21, 4 and 2? (a) 9 (b) 21 (c) 24 (d) 28
  40. 40.What is the median of 11, 19, 34, 7, 40, 3 and 20? (a) 19 (b) 7 (c) 20 (d) 11

Answer key

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

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