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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 222 · 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, 2, 8, 5, 13, 5 and 5? (a) 2 (b) 8 (c) 5 (d) 13
  2. 2.What is the mean of 10, 9, 16, 3 and 12? (a) 11 (b) 9 (c) 12 (d) 10
  3. 3.What is the mode of 8, 15, 20, 8, 11, 8 and 11? (a) 8 (b) 20 (c) 15 (d) 11
  4. 4.What is the mean of 16, 12, 19 and 5? (a) 12 (b) 13 (c) 14 (d) 15
  5. 5.What is the mean of 12, 2, 6 and 20? (a) 10 (b) 9 (c) 8 (d) 11
  6. 6.What is the median of 9, 39, 7, 29 and 6? (a) 29 (b) 18 (c) 9 (d) 7
  7. 7.The mean of 4 numbers is 39. When the number 59 is added to them, what is the new mean? (a) 43 (b) 39 (c) 44 (d) 49
  8. 8.What is the mean of 12, 3, 10, 7, 16 and 18? (a) 13 (b) 12 (c) 11 (d) 10
  9. 9.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 24 (b) 30 (c) 25 (d) 20
  10. 10.What is the median of 23, 6, 30, 37 and 9? (a) 9 (b) 21 (c) 23 (d) 30
  11. 11.The mean of 4 numbers is 28. When the number 18 is added to them, what is the new mean? (a) 27 (b) 28 (c) 23 (d) 26
  12. 12.The mean of 5 numbers is 17. When the number 11 is added to them, what is the new mean? (a) 17 (b) 16 (c) 15 (d) 14
  13. 13.What is the median of 3, 35, 36, 15, 30, 18 and 5? (a) 19 (b) 15 (c) 30 (d) 18
  14. 14.The mean of 6 numbers is 22. When the number 36 is added to them, what is the new mean? (a) 29 (b) 22 (c) 24 (d) 25
  15. 15.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 33 (b) 34 (c) 32 (d) 35
  16. 16.What is the median of 1, 15, 18, 7 and 20? (a) 16 (b) 18 (c) 7 (d) 15
  17. 17.What is the median of 15, 38, 37, 31 and 1? (a) 37 (b) 31 (c) 15 (d) 32
  18. 18.The mean of 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 30 (b) 29 (c) 22 (d) 31
  19. 19.What is the mode of 3, 6, 7, 16, 16, 7 and 16? (a) 3 (b) 16 (c) 6 (d) 7
  20. 20.What is the mean of 13, 17, 7, 8, 17 and 16? (a) 13 (b) 12 (c) 14 (d) 15
  21. 21.What is the mean of 3, 18, 16, 14 and 14? (a) 14 (b) 13 (c) 15 (d) 12
  22. 22.What is the median of 23, 1, 9, 8 and 16? (a) 16 (b) 9 (c) 8 (d) 10
  23. 23.What is the median of 38, 10, 3, 32 and 39? (a) 10 (b) 38 (c) 3 (d) 32
  24. 24.What is the mean of 17, 14, 8, 8 and 18? (a) 15 (b) 13 (c) 14 (d) 12
  25. 25.What is the mode of 17, 15, 11, 17, 17, 11 and 14? (a) 11 (b) 15 (c) 17 (d) 14
  26. 26.What is the mode of 10, 12, 8, 20, 10, 10 and 8? (a) 20 (b) 12 (c) 8 (d) 10
  27. 27.What is the mean of 8, 15, 9 and 8? (a) 8 (b) 9 (c) 11 (d) 10
  28. 28.What is the mode of 17, 17, 1, 1, 19, 1 and 13? (a) 19 (b) 17 (c) 13 (d) 1
  29. 29.What is the median of 32, 5, 3, 39, 34, 16 and 13? (a) 16 (b) 39 (c) 32 (d) 13
  30. 30.What is the mean of 7, 11, 12, 10 and 20? (a) 15 (b) 10 (c) 13 (d) 12
  31. 31.What is the mean of 13, 6, 2 and 7? (a) 9 (b) 7 (c) 6 (d) 8
  32. 32.The mean of 3 numbers is 26. When the number 42 is added to them, what is the new mean? (a) 34 (b) 31 (c) 26 (d) 30
  33. 33.What is the median of 27, 26, 29, 16 and 5? (a) 29 (b) 27 (c) 16 (d) 26
  34. 34.The mean of 9 numbers is 20. When the number 60 is added to them, what is the new mean? (a) 24 (b) 40 (c) 25 (d) 20
  35. 35.The mean of 6 numbers is 39. When the number 53 is added to them, what is the new mean? (a) 42 (b) 46 (c) 41 (d) 39
  36. 36.What is the mean of 4, 3, 13, 5 and 10? (a) 7 (b) 8 (c) 9 (d) 6
  37. 37.What is the median of 4, 29, 6, 38 and 20? (a) 20 (b) 29 (c) 6 (d) 21
  38. 38.What is the median of 17, 32, 39, 9 and 5? (a) 9 (b) 32 (c) 17 (d) 39
  39. 39.The mean of 7 numbers is 21. When the number 13 is added to them, what is the new mean? (a) 19 (b) 21 (c) 20 (d) 17
  40. 40.The mean of 4 numbers is 19. When the number 14 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18

Answer key

  1. 5
  2. 10
  3. 8
  4. 13
  5. 10
  6. 9
  7. 43
  8. 11
  9. 24
  10. 23
  11. 26
  12. 16
  13. 18
  14. 24
  15. 33
  16. 15
  17. 31
  18. 29
  19. 16
  20. 13
  21. 13
  22. 9
  23. 32
  24. 13
  25. 17
  26. 10
  27. 10
  28. 1
  29. 16
  30. 12
  31. 7
  32. 30
  33. 26
  34. 24
  35. 41
  36. 7
  37. 20
  38. 17
  39. 20
  40. 18

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