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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 257 · 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 19, 31, 37, 12, 22, 39 and 25? (a) 12 (b) 22 (c) 31 (d) 25
  2. 2.What is the mode of 12, 14, 15, 5, 14, 12 and 12? (a) 14 (b) 12 (c) 15 (d) 5
  3. 3.What is the mean of 11, 8, 5, 10 and 21? (a) 13 (b) 12 (c) 11 (d) 10
  4. 4.What is the median of 26, 3, 2, 15 and 8? (a) 2 (b) 8 (c) 15 (d) 3
  5. 5.What is the median of 35, 28, 7, 2, 31, 23 and 16? (a) 2 (b) 23 (c) 16 (d) 28
  6. 6.What is the mean of 9, 9, 19, 15, 20 and 6? (a) 14 (b) 12 (c) 13 (d) 15
  7. 7.The mean of 6 numbers is 23. When the number 30 is added to them, what is the new mean? (a) 26 (b) 25 (c) 24 (d) 23
  8. 8.The mean of 6 numbers is 27. When the number 41 is added to them, what is the new mean? (a) 30 (b) 27 (c) 34 (d) 29
  9. 9.The mean of 7 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 18 (b) 24 (c) 19 (d) 16
  10. 10.What is the median of 28, 13, 20, 10 and 40? (a) 21 (b) 13 (c) 20 (d) 28
  11. 11.The mean of 7 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 28 (b) 20 (c) 23 (d) 22
  12. 12.What is the median of 12, 6, 8, 11 and 17? (a) 10 (b) 8 (c) 11 (d) 12
  13. 13.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 29 (b) 19 (c) 23 (d) 24
  14. 14.What is the median of 9, 10, 3, 21, 18, 7 and 28? (a) 21 (b) 9 (c) 18 (d) 10
  15. 15.What is the median of 3, 1, 22, 13 and 9? (a) 22 (b) 3 (c) 13 (d) 9
  16. 16.What is the mode of 10, 19, 10, 13, 13, 13 and 15? (a) 15 (b) 13 (c) 10 (d) 19
  17. 17.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 21 (b) 12 (c) 16 (d) 15
  18. 18.What is the mean of 14, 20, 8, 3 and 10? (a) 13 (b) 10 (c) 11 (d) 12
  19. 19.What is the median of 40, 30, 25, 38, 29, 18 and 17? (a) 29 (b) 25 (c) 30 (d) 38
  20. 20.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 16
  21. 21.What is the mode of 6, 6, 11, 6, 14, 14 and 16? (a) 11 (b) 16 (c) 6 (d) 14
  22. 22.What is the mean of 18, 5, 2 and 11? (a) 10 (b) 9 (c) 12 (d) 8
  23. 23.What is the mean of 12, 3, 15 and 10? (a) 8 (b) 10 (c) 9 (d) 11
  24. 24.What is the median of 29, 34, 19, 25 and 30? (a) 29 (b) 30 (c) 19 (d) 25
  25. 25.The mean of 4 numbers is 35. When the number 25 is added to them, what is the new mean? (a) 33 (b) 35 (c) 34 (d) 30
  26. 26.What is the mean of 20, 3, 2, 5 and 15? (a) 8 (b) 10 (c) 9 (d) 11
  27. 27.What is the mean of 6, 4, 18, 3, 3 and 20? (a) 9 (b) 10 (c) 8 (d) 11
  28. 28.What is the median of 32, 15, 18, 24, 37, 2 and 11? (a) 19 (b) 18 (c) 24 (d) 15
  29. 29.What is the mean of 15, 9, 7 and 17? (a) 11 (b) 16 (c) 13 (d) 12
  30. 30.What is the mean of 3, 9, 19 and 21? (a) 14 (b) 12 (c) 15 (d) 13
  31. 31.The mean of 3 numbers is 40. When the number 48 is added to them, what is the new mean? (a) 43 (b) 42 (c) 44 (d) 40
  32. 32.What is the median of 13, 3, 4, 35 and 40? (a) 19 (b) 35 (c) 13 (d) 4
  33. 33.What is the mean of 6, 12, 14, 6 and 17? (a) 10 (b) 13 (c) 12 (d) 11
  34. 34.What is the median of 34, 12, 27, 18 and 29? (a) 29 (b) 27 (c) 18 (d) 24
  35. 35.What is the median of 25, 3, 26, 34, 17, 37 and 18? (a) 34 (b) 26 (c) 18 (d) 25
  36. 36.What is the median of 7, 18, 3, 4, 12, 23 and 26? (a) 7 (b) 4 (c) 12 (d) 18
  37. 37.What is the mean of 12, 4, 10, 17, 9 and 20? (a) 12 (b) 13 (c) 14 (d) 11
  38. 38.The mean of 6 numbers is 15. When the number 1 is added to them, what is the new mean? (a) 15 (b) 14 (c) 8 (d) 13
  39. 39.What is the median of 19, 30, 9, 37, 16, 7 and 12? (a) 12 (b) 19 (c) 16 (d) 37
  40. 40.What is the mode of 4, 15, 1, 1, 15, 15 and 11? (a) 11 (b) 4 (c) 1 (d) 15

Answer key

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

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