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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 589 · 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 10, 4, 3, 5, 12 and 20? (a) 11 (b) 10 (c) 9 (d) 8
  2. 2.The mean of 6 numbers is 14. When the number 42 is added to them, what is the new mean? (a) 19 (b) 14 (c) 18 (d) 28
  3. 3.What is the mean of 7, 18, 8, 3 and 14? (a) 11 (b) 9 (c) 10 (d) 12
  4. 4.What is the mode of 3, 18, 3, 15, 2, 15 and 15? (a) 15 (b) 18 (c) 3 (d) 2
  5. 5.What is the mode of 7, 18, 2, 2, 16, 16 and 2? (a) 7 (b) 16 (c) 18 (d) 2
  6. 6.The mean of 8 numbers is 38. When the number 11 is added to them, what is the new mean? (a) 38 (b) 34 (c) 35 (d) 36
  7. 7.What is the mean of 4, 2, 12, 9, 6 and 15? (a) 9 (b) 10 (c) 8 (d) 7
  8. 8.The mean of 5 numbers is 20. When the number 38 is added to them, what is the new mean? (a) 24 (b) 29 (c) 23 (d) 20
  9. 9.What is the mode of 14, 7, 4, 17, 7, 7 and 14? (a) 14 (b) 7 (c) 17 (d) 4
  10. 10.The mean of 9 numbers is 33. When the number 53 is added to them, what is the new mean? (a) 35 (b) 36 (c) 43 (d) 33
  11. 11.What is the median of 5, 18, 8, 9, 3, 10 and 14? (a) 10 (b) 8 (c) 9 (d) 11
  12. 12.What is the mode of 5, 10, 9, 11, 5, 9 and 9? (a) 10 (b) 5 (c) 11 (d) 9
  13. 13.What is the mean of 11, 20, 13 and 12? (a) 13 (b) 15 (c) 14 (d) 16
  14. 14.What is the mean of 16, 15, 14, 17, 14 and 8? (a) 13 (b) 14 (c) 15 (d) 12
  15. 15.What is the mean of 18, 2, 5, 14, 20 and 13? (a) 14 (b) 13 (c) 12 (d) 11
  16. 16.The mean of 3 numbers is 14. When the number 22 is added to them, what is the new mean? (a) 18 (b) 14 (c) 16 (d) 17
  17. 17.What is the mode of 9, 9, 18, 17, 18, 11 and 18? (a) 11 (b) 18 (c) 17 (d) 9
  18. 18.What is the mode of 15, 15, 18, 8, 15, 18 and 4? (a) 18 (b) 15 (c) 4 (d) 8
  19. 19.What is the median of 20, 34, 24, 6, 11, 35 and 10? (a) 11 (b) 24 (c) 6 (d) 20
  20. 20.What is the mode of 19, 8, 19, 12, 12, 12 and 13? (a) 8 (b) 19 (c) 12 (d) 13
  21. 21.What is the median of 3, 27, 36, 32 and 4? (a) 4 (b) 32 (c) 36 (d) 27
  22. 22.What is the mode of 2, 19, 6, 2, 1, 6 and 2? (a) 1 (b) 6 (c) 19 (d) 2
  23. 23.The mean of 8 numbers is 27. When the number 54 is added to them, what is the new mean? (a) 30 (b) 27 (c) 29 (d) 31
  24. 24.What is the median of 40, 7, 31, 11 and 24? (a) 31 (b) 25 (c) 11 (d) 24
  25. 25.What is the mode of 1, 12, 17, 12, 17, 17 and 8? (a) 8 (b) 1 (c) 17 (d) 12
  26. 26.What is the mode of 7, 3, 3, 2, 3, 2 and 12? (a) 3 (b) 2 (c) 12 (d) 7
  27. 27.The mean of 6 numbers is 28. When the number 56 is added to them, what is the new mean? (a) 32 (b) 42 (c) 33 (d) 28
  28. 28.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 28 (b) 27 (c) 21 (d) 30
  29. 29.What is the median of 34, 5, 35, 29, 12, 33 and 15? (a) 30 (b) 15 (c) 29 (d) 33
  30. 30.What is the mode of 16, 8, 17, 17, 8, 2 and 8? (a) 2 (b) 17 (c) 16 (d) 8
  31. 31.What is the median of 13, 33, 4, 18 and 29? (a) 29 (b) 18 (c) 13 (d) 4
  32. 32.What is the mean of 11, 15, 11 and 7? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.What is the mode of 4, 3, 20, 13, 13, 4 and 13? (a) 4 (b) 3 (c) 20 (d) 13
  34. 34.The mean of 5 numbers is 30. When the number 18 is added to them, what is the new mean? (a) 30 (b) 28 (c) 24 (d) 29
  35. 35.What is the mean of 15, 2, 17, 9 and 22? (a) 14 (b) 12 (c) 13 (d) 15
  36. 36.What is the mean of 11, 12, 9, 11, 7 and 4? (a) 11 (b) 10 (c) 9 (d) 8
  37. 37.What is the median of 28, 5, 24, 25 and 26? (a) 26 (b) 24 (c) 27 (d) 25
  38. 38.What is the median of 30, 11, 1, 35, 5, 37 and 29? (a) 35 (b) 30 (c) 29 (d) 11
  39. 39.What is the mode of 16, 11, 14, 14, 11, 11 and 15? (a) 14 (b) 11 (c) 15 (d) 16
  40. 40.What is the median of 9, 22, 30, 10 and 27? (a) 30 (b) 27 (c) 22 (d) 10

Answer key

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

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