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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 855 · 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 19, 3, 9 and 5? (a) 12 (b) 10 (c) 9 (d) 8
  2. 2.What is the median of 5, 28, 39, 36, 40, 2 and 14? (a) 28 (b) 36 (c) 14 (d) 29
  3. 3.What is the median of 18, 14, 28, 30, 11, 17 and 9? (a) 18 (b) 14 (c) 30 (d) 17
  4. 4.What is the mode of 1, 4, 1, 10, 16, 4 and 4? (a) 1 (b) 10 (c) 4 (d) 16
  5. 5.The mean of 4 numbers is 27. When the number 42 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 29
  6. 6.What is the median of 19, 11, 26, 12 and 8? (a) 11 (b) 26 (c) 12 (d) 19
  7. 7.What is the mode of 3, 11, 16, 3, 17, 16 and 16? (a) 16 (b) 17 (c) 11 (d) 3
  8. 8.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 16 (b) 19 (c) 20 (d) 18
  9. 9.What is the mean of 14, 10, 12, 5, 10 and 15? (a) 10 (b) 12 (c) 13 (d) 11
  10. 10.What is the mean of 20, 2, 18, 3, 7 and 16? (a) 13 (b) 11 (c) 10 (d) 12
  11. 11.What is the median of 8, 11, 31, 7, 5, 15 and 35? (a) 15 (b) 16 (c) 7 (d) 11
  12. 12.What is the median of 6, 40, 9, 13, 1, 31 and 2? (a) 6 (b) 10 (c) 13 (d) 9
  13. 13.The mean of 4 numbers is 18. When the number 3 is added to them, what is the new mean? (a) 18 (b) 15 (c) 16 (d) 14
  14. 14.What is the mean of 7, 20, 10, 20, 14 and 19? (a) 18 (b) 16 (c) 15 (d) 14
  15. 15.What is the median of 5, 19, 12, 17, 13, 1 and 15? (a) 15 (b) 17 (c) 12 (d) 13
  16. 16.The mean of 6 numbers is 28. When the number 21 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 26
  17. 17.What is the median of 9, 13, 11, 3 and 4? (a) 8 (b) 11 (c) 9 (d) 4
  18. 18.The mean of 4 numbers is 22. When the number 27 is added to them, what is the new mean? (a) 23 (b) 24 (c) 25 (d) 22
  19. 19.What is the median of 32, 14, 33, 12 and 21? (a) 33 (b) 21 (c) 32 (d) 14
  20. 20.What is the mean of 4, 18, 12, 7 and 9? (a) 9 (b) 10 (c) 12 (d) 11
  21. 21.The mean of 7 numbers is 33. When the number 57 is added to them, what is the new mean? (a) 33 (b) 36 (c) 37 (d) 45
  22. 22.What is the mean of 19, 2, 9, 8 and 22? (a) 15 (b) 12 (c) 13 (d) 10
  23. 23.What is the median of 17, 1, 10, 22 and 32? (a) 18 (b) 22 (c) 10 (d) 17
  24. 24.The mean of 3 numbers is 22. When the number 26 is added to them, what is the new mean? (a) 22 (b) 25 (c) 23 (d) 24
  25. 25.What is the median of 19, 38, 17, 20, 22, 11 and 29? (a) 21 (b) 19 (c) 22 (d) 20
  26. 26.What is the median of 23, 36, 5, 35, 4, 12 and 6? (a) 6 (b) 35 (c) 23 (d) 12
  27. 27.What is the mode of 1, 8, 8, 20, 8, 20 and 18? (a) 20 (b) 1 (c) 8 (d) 18
  28. 28.What is the mean of 19, 16, 9, 17 and 9? (a) 15 (b) 14 (c) 16 (d) 13
  29. 29.What is the mean of 4, 9, 2 and 13? (a) 7 (b) 9 (c) 8 (d) 6
  30. 30.What is the mean of 9, 10, 15 and 10? (a) 13 (b) 12 (c) 10 (d) 11
  31. 31.What is the mode of 9, 7, 6, 7, 6, 17 and 6? (a) 7 (b) 17 (c) 6 (d) 9
  32. 32.The mean of 7 numbers is 36. When the number 52 is added to them, what is the new mean? (a) 38 (b) 39 (c) 36 (d) 44
  33. 33.What is the mean of 12, 16, 19, 2, 5 and 24? (a) 15 (b) 12 (c) 13 (d) 14
  34. 34.The mean of 8 numbers is 26. When the number 8 is added to them, what is the new mean? (a) 24 (b) 26 (c) 17 (d) 25
  35. 35.What is the mean of 8, 8, 3 and 9? (a) 6 (b) 8 (c) 9 (d) 7
  36. 36.What is the mean of 19, 15, 7, 17, 15 and 23? (a) 18 (b) 17 (c) 15 (d) 16
  37. 37.What is the median of 19, 18, 21, 8, 33, 13 and 9? (a) 19 (b) 8 (c) 13 (d) 18
  38. 38.What is the median of 8, 6, 13, 18 and 15? (a) 8 (b) 12 (c) 15 (d) 13
  39. 39.The mean of 9 numbers is 11. When the number 1 is added to them, what is the new mean? (a) 11 (b) 6 (c) 10 (d) 9
  40. 40.What is the mode of 17, 5, 10, 20, 5, 17 and 5? (a) 20 (b) 10 (c) 5 (d) 17

Answer key

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

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