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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 382 · 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 16, 20, 7, 3 and 24? (a) 13 (b) 15 (c) 16 (d) 14
  2. 2.What is the mean of 10, 2, 16, 13, 4 and 15? (a) 9 (b) 12 (c) 10 (d) 11
  3. 3.What is the mean of 10, 19, 13, 4, 15 and 5? (a) 10 (b) 13 (c) 12 (d) 11
  4. 4.The mean of 3 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 29 (b) 32 (c) 28 (d) 24
  5. 5.What is the mode of 13, 13, 14, 14, 8, 9 and 13? (a) 14 (b) 13 (c) 9 (d) 8
  6. 6.What is the mean of 5, 3, 5 and 15? (a) 8 (b) 7 (c) 6 (d) 9
  7. 7.What is the median of 7, 9, 40, 3 and 22? (a) 9 (b) 7 (c) 22 (d) 40
  8. 8.What is the mean of 17, 8, 20, 13, 2 and 24? (a) 12 (b) 15 (c) 13 (d) 14
  9. 9.The mean of 3 numbers is 22. When the number 14 is added to them, what is the new mean? (a) 21 (b) 22 (c) 18 (d) 20
  10. 10.What is the mode of 19, 15, 15, 12, 11, 11 and 15? (a) 19 (b) 12 (c) 15 (d) 11
  11. 11.The mean of 8 numbers is 18. When the number 27 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 18
  12. 12.What is the mean of 7, 13, 5, 5 and 10? (a) 10 (b) 7 (c) 8 (d) 9
  13. 13.What is the mean of 5, 15, 13, 15, 18 and 18? (a) 12 (b) 15 (c) 14 (d) 13
  14. 14.What is the median of 12, 3, 34, 1, 40, 14 and 29? (a) 14 (b) 1 (c) 29 (d) 19
  15. 15.What is the mode of 9, 9, 8, 7, 8, 18 and 9? (a) 7 (b) 18 (c) 9 (d) 8
  16. 16.What is the mean of 19, 11, 19, 4, 10 and 3? (a) 12 (b) 10 (c) 13 (d) 11
  17. 17.What is the mode of 11, 6, 6, 5, 11, 11 and 9? (a) 9 (b) 6 (c) 11 (d) 5
  18. 18.What is the mode of 3, 3, 18, 2, 10, 10 and 10? (a) 3 (b) 18 (c) 10 (d) 2
  19. 19.What is the median of 30, 27, 13, 29 and 32? (a) 13 (b) 27 (c) 30 (d) 29
  20. 20.What is the mode of 9, 10, 9, 5, 9, 13 and 10? (a) 13 (b) 10 (c) 5 (d) 9
  21. 21.What is the mode of 13, 16, 13, 9, 13, 12 and 16? (a) 9 (b) 13 (c) 16 (d) 12
  22. 22.The mean of 6 numbers is 35. When the number 49 is added to them, what is the new mean? (a) 42 (b) 38 (c) 35 (d) 37
  23. 23.What is the median of 4, 7, 8, 27 and 13? (a) 8 (b) 13 (c) 9 (d) 7
  24. 24.What is the median of 38, 4, 15, 1, 6, 36 and 14? (a) 15 (b) 1 (c) 14 (d) 6
  25. 25.What is the mode of 4, 7, 2, 4, 3, 7 and 4? (a) 3 (b) 4 (c) 7 (d) 2
  26. 26.What is the mode of 16, 14, 5, 8, 5, 8 and 8? (a) 14 (b) 8 (c) 16 (d) 5
  27. 27.What is the mode of 16, 11, 5, 18, 16, 16 and 18? (a) 18 (b) 11 (c) 5 (d) 16
  28. 28.What is the mean of 10, 14, 2, 6 and 8? (a) 7 (b) 8 (c) 10 (d) 9
  29. 29.What is the mode of 5, 9, 10, 14, 14, 10 and 14? (a) 10 (b) 9 (c) 14 (d) 5
  30. 30.What is the mean of 8, 3, 13, 8, 19 and 15? (a) 10 (b) 11 (c) 13 (d) 12
  31. 31.What is the mode of 14, 7, 7, 5, 5, 7 and 17? (a) 5 (b) 17 (c) 14 (d) 7
  32. 32.The mean of 9 numbers is 26. When the number 36 is added to them, what is the new mean? (a) 26 (b) 27 (c) 28 (d) 31
  33. 33.What is the median of 8, 25, 19, 40 and 29? (a) 26 (b) 25 (c) 29 (d) 19
  34. 34.What is the median of 28, 31, 10, 17 and 7? (a) 18 (b) 28 (c) 17 (d) 10
  35. 35.What is the mean of 6, 20, 5, 9, 17 and 21? (a) 15 (b) 12 (c) 13 (d) 14
  36. 36.The mean of 4 numbers is 28. When the number 8 is added to them, what is the new mean? (a) 25 (b) 24 (c) 18 (d) 28
  37. 37.The mean of 8 numbers is 20. When the number 56 is added to them, what is the new mean? (a) 24 (b) 20 (c) 25 (d) 38
  38. 38.What is the mode of 14, 20, 17, 3, 3, 17 and 17? (a) 14 (b) 3 (c) 20 (d) 17
  39. 39.What is the median of 20, 21, 34, 11 and 1? (a) 20 (b) 21 (c) 11 (d) 34
  40. 40.What is the median of 9, 1, 29, 20, 26, 17 and 12? (a) 18 (b) 12 (c) 17 (d) 20

Answer key

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

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