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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 317 · 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 mode of 13, 13, 3, 3, 1, 10 and 3? (a) 3 (b) 10 (c) 13 (d) 1
  2. 2.What is the mode of 16, 16, 15, 13, 1, 1 and 1? (a) 16 (b) 1 (c) 15 (d) 13
  3. 3.What is the median of 30, 32, 28, 1, 25, 3 and 20? (a) 20 (b) 28 (c) 1 (d) 25
  4. 4.What is the mode of 6, 2, 14, 2, 6, 17 and 6? (a) 6 (b) 2 (c) 14 (d) 17
  5. 5.What is the median of 6, 29, 40, 3 and 11? (a) 40 (b) 29 (c) 11 (d) 6
  6. 6.What is the mode of 11, 17, 2, 11, 7, 2 and 11? (a) 17 (b) 2 (c) 7 (d) 11
  7. 7.What is the mean of 8, 12, 4, 15 and 16? (a) 13 (b) 12 (c) 11 (d) 10
  8. 8.The mean of 3 numbers is 19. When the number 35 is added to them, what is the new mean? (a) 24 (b) 27 (c) 19 (d) 23
  9. 9.The mean of 6 numbers is 38. When the number 17 is added to them, what is the new mean? (a) 34 (b) 38 (c) 35 (d) 36
  10. 10.The mean of 7 numbers is 38. When the number 62 is added to them, what is the new mean? (a) 42 (b) 38 (c) 50 (d) 41
  11. 11.What is the mode of 16, 7, 16, 19, 7, 2 and 7? (a) 7 (b) 2 (c) 16 (d) 19
  12. 12.What is the mode of 20, 2, 8, 1, 2, 20 and 20? (a) 1 (b) 8 (c) 20 (d) 2
  13. 13.The mean of 3 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 14 (b) 13 (c) 10 (d) 12
  14. 14.What is the mean of 8, 3, 2 and 11? (a) 7 (b) 5 (c) 8 (d) 6
  15. 15.What is the mean of 8, 4, 17, 18 and 13? (a) 10 (b) 13 (c) 15 (d) 12
  16. 16.What is the mean of 15, 10, 5, 7, 13 and 22? (a) 13 (b) 11 (c) 14 (d) 12
  17. 17.The mean of 5 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 22 (b) 16 (c) 20 (d) 21
  18. 18.The mean of 9 numbers is 17. When the number 57 is added to them, what is the new mean? (a) 17 (b) 37 (c) 22 (d) 21
  19. 19.The mean of 9 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 42 (b) 41 (c) 39 (d) 49
  20. 20.What is the median of 10, 35, 15, 19 and 16? (a) 19 (b) 17 (c) 15 (d) 16
  21. 21.What is the mode of 19, 3, 15, 4, 15, 19 and 15? (a) 4 (b) 3 (c) 19 (d) 15
  22. 22.What is the mean of 10, 5, 15 and 14? (a) 11 (b) 10 (c) 12 (d) 13
  23. 23.What is the median of 8, 6, 7, 27 and 16? (a) 8 (b) 9 (c) 16 (d) 7
  24. 24.What is the median of 37, 35, 7, 2, 19, 5 and 34? (a) 7 (b) 34 (c) 19 (d) 2
  25. 25.What is the median of 39, 17, 38, 34, 21, 37 and 30? (a) 34 (b) 35 (c) 30 (d) 37
  26. 26.The mean of 6 numbers is 16. When the number 30 is added to them, what is the new mean? (a) 16 (b) 19 (c) 23 (d) 18
  27. 27.What is the median of 39, 11, 20, 34 and 14? (a) 20 (b) 21 (c) 34 (d) 14
  28. 28.What is the median of 31, 10, 20, 36 and 11? (a) 31 (b) 11 (c) 21 (d) 20
  29. 29.What is the median of 6, 33, 12, 13 and 5? (a) 6 (b) 11 (c) 13 (d) 12
  30. 30.What is the mode of 20, 2, 1, 1, 20, 20 and 12? (a) 12 (b) 1 (c) 2 (d) 20
  31. 31.What is the mean of 13, 20, 12 and 3? (a) 13 (b) 16 (c) 11 (d) 12
  32. 32.The mean of 5 numbers is 31. When the number 25 is added to them, what is the new mean? (a) 29 (b) 31 (c) 28 (d) 30
  33. 33.What is the median of 38, 3, 26, 34, 20, 2 and 8? (a) 26 (b) 34 (c) 8 (d) 20
  34. 34.What is the median of 9, 5, 7, 23 and 13? (a) 10 (b) 7 (c) 9 (d) 13
  35. 35.What is the mode of 20, 17, 20, 17, 20, 1 and 9? (a) 17 (b) 9 (c) 1 (d) 20
  36. 36.The mean of 8 numbers is 36. When the number 45 is added to them, what is the new mean? (a) 38 (b) 36 (c) 39 (d) 37
  37. 37.What is the mode of 19, 13, 4, 13, 13, 9 and 9? (a) 13 (b) 4 (c) 9 (d) 19
  38. 38.The mean of 8 numbers is 40. When the number 49 is added to them, what is the new mean? (a) 42 (b) 41 (c) 40 (d) 43
  39. 39.What is the mean of 6, 2, 15 and 9? (a) 7 (b) 10 (c) 9 (d) 8
  40. 40.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 9

Answer key

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

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