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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 701 · 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 13, 5, 10, 18 and 9? (a) 10 (b) 13 (c) 12 (d) 11
  2. 2.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 20 (b) 17 (c) 22 (d) 21
  3. 3.The mean of 3 numbers is 35. When the number 31 is added to them, what is the new mean? (a) 34 (b) 36 (c) 33 (d) 35
  4. 4.What is the mean of 10, 17, 19, 14 and 20? (a) 16 (b) 17 (c) 15 (d) 20
  5. 5.The mean of 9 numbers is 15. When the number 55 is added to them, what is the new mean? (a) 35 (b) 20 (c) 15 (d) 19
  6. 6.What is the mode of 5, 18, 9, 5, 18, 10 and 18? (a) 9 (b) 18 (c) 5 (d) 10
  7. 7.What is the mode of 5, 8, 11, 16, 11, 5 and 11? (a) 11 (b) 8 (c) 16 (d) 5
  8. 8.What is the mean of 15, 6, 3 and 20? (a) 11 (b) 13 (c) 12 (d) 10
  9. 9.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 36 (b) 35 (c) 34 (d) 37
  10. 10.The mean of 9 numbers is 19. When the number 49 is added to them, what is the new mean? (a) 34 (b) 23 (c) 22 (d) 19
  11. 11.What is the mode of 20, 15, 20, 16, 16, 12 and 20? (a) 15 (b) 16 (c) 12 (d) 20
  12. 12.What is the mean of 13, 3, 17 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  13. 13.What is the median of 19, 8, 13, 10, 22, 38 and 31? (a) 22 (b) 13 (c) 19 (d) 10
  14. 14.What is the mean of 16, 14, 20, 15, 6 and 7? (a) 12 (b) 15 (c) 14 (d) 13
  15. 15.The mean of 5 numbers is 40. When the number 22 is added to them, what is the new mean? (a) 31 (b) 40 (c) 38 (d) 37
  16. 16.What is the median of 24, 8, 35, 3 and 5? (a) 24 (b) 15 (c) 8 (d) 35
  17. 17.What is the median of 39, 34, 30, 15 and 29? (a) 34 (b) 29 (c) 30 (d) 31
  18. 18.What is the mean of 5, 6, 15, 15, 2 and 5? (a) 10 (b) 8 (c) 9 (d) 7
  19. 19.What is the mean of 6, 10, 17 and 7? (a) 8 (b) 9 (c) 11 (d) 10
  20. 20.What is the mode of 10, 20, 10, 20, 10, 8 and 12? (a) 12 (b) 10 (c) 20 (d) 8
  21. 21.What is the median of 15, 9, 5, 20 and 11? (a) 12 (b) 11 (c) 5 (d) 15
  22. 22.What is the mean of 19, 7, 5, 5 and 4? (a) 9 (b) 10 (c) 8 (d) 7
  23. 23.The mean of 4 numbers is 27. When the number 42 is added to them, what is the new mean? (a) 31 (b) 29 (c) 27 (d) 30
  24. 24.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 34 (b) 22 (c) 23 (d) 18
  25. 25.What is the median of 39, 22, 2, 35, 31, 7 and 9? (a) 31 (b) 9 (c) 35 (d) 22
  26. 26.What is the mean of 6, 9, 7 and 6? (a) 6 (b) 8 (c) 9 (d) 7
  27. 27.What is the mode of 5, 7, 7, 3, 7, 3 and 18? (a) 3 (b) 18 (c) 7 (d) 5
  28. 28.The mean of 9 numbers is 34. When the number 74 is added to them, what is the new mean? (a) 39 (b) 38 (c) 34 (d) 54
  29. 29.What is the mean of 13, 16, 18, 13, 16 and 20? (a) 15 (b) 18 (c) 16 (d) 17
  30. 30.What is the mode of 19, 11, 10, 15, 10, 11 and 10? (a) 11 (b) 19 (c) 10 (d) 15
  31. 31.What is the mode of 14, 14, 1, 18, 1, 12 and 1? (a) 14 (b) 1 (c) 12 (d) 18
  32. 32.The mean of 3 numbers is 35. When the number 51 is added to them, what is the new mean? (a) 43 (b) 40 (c) 39 (d) 35
  33. 33.What is the median of 15, 25, 16, 32, 9, 36 and 39? (a) 25 (b) 32 (c) 16 (d) 26
  34. 34.What is the mean of 2, 19, 18, 9 and 7? (a) 11 (b) 10 (c) 12 (d) 13
  35. 35.What is the mean of 5, 17, 12, 13, 6 and 13? (a) 13 (b) 11 (c) 12 (d) 10
  36. 36.What is the mean of 13, 3, 9 and 15? (a) 11 (b) 9 (c) 8 (d) 10
  37. 37.What is the mode of 20, 20, 18, 18, 20, 3 and 8? (a) 3 (b) 8 (c) 20 (d) 18
  38. 38.What is the median of 10, 9, 33, 22, 4, 8 and 19? (a) 22 (b) 15 (c) 19 (d) 10
  39. 39.What is the median of 8, 5, 37, 32, 38, 34 and 24? (a) 24 (b) 32 (c) 33 (d) 34
  40. 40.The mean of 6 numbers is 33. When the number 5 is added to them, what is the new mean? (a) 29 (b) 30 (c) 19 (d) 33

Answer key

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

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