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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 108 · 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 9, 20, 13, 13, 11 and 12? (a) 13 (b) 15 (c) 12 (d) 14
  2. 2.What is the median of 7, 21, 24, 18, 17, 33 and 32? (a) 18 (b) 24 (c) 22 (d) 21
  3. 3.The mean of 9 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 38 (b) 39 (c) 35 (d) 40
  4. 4.The mean of 6 numbers is 15. When the number 36 is added to them, what is the new mean? (a) 17 (b) 15 (c) 19 (d) 18
  5. 5.What is the median of 27, 14, 23, 3, 40, 2 and 5? (a) 5 (b) 14 (c) 23 (d) 3
  6. 6.What is the mode of 2, 11, 2, 4, 11, 12 and 2? (a) 4 (b) 12 (c) 11 (d) 2
  7. 7.What is the mean of 7, 16, 5 and 16? (a) 10 (b) 12 (c) 11 (d) 13
  8. 8.The mean of 9 numbers is 16. When the number 56 is added to them, what is the new mean? (a) 21 (b) 36 (c) 20 (d) 16
  9. 9.What is the mode of 15, 10, 2, 16, 15, 2 and 2? (a) 15 (b) 2 (c) 10 (d) 16
  10. 10.What is the mode of 3, 10, 10, 3, 5, 3 and 12? (a) 10 (b) 3 (c) 12 (d) 5
  11. 11.What is the median of 32, 33, 4, 38, 25, 39 and 23? (a) 25 (b) 38 (c) 33 (d) 32
  12. 12.The mean of 3 numbers is 10. When the number 18 is added to them, what is the new mean? (a) 13 (b) 14 (c) 10 (d) 12
  13. 13.What is the mean of 2, 17, 16, 18 and 7? (a) 12 (b) 10 (c) 13 (d) 15
  14. 14.What is the mode of 3, 20, 2, 1, 20, 2 and 20? (a) 1 (b) 2 (c) 20 (d) 3
  15. 15.What is the mean of 14, 7, 16, 5 and 13? (a) 12 (b) 11 (c) 10 (d) 13
  16. 16.What is the median of 4, 30, 20, 34 and 3? (a) 20 (b) 4 (c) 30 (d) 21
  17. 17.What is the mean of 8, 16, 4 and 16? (a) 13 (b) 11 (c) 10 (d) 12
  18. 18.What is the mean of 12, 9, 2 and 13? (a) 9 (b) 12 (c) 10 (d) 8
  19. 19.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 30 (c) 27 (d) 32
  20. 20.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 32 (b) 37 (c) 36 (d) 40
  21. 21.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 15 (b) 12 (c) 21 (d) 14
  22. 22.What is the mode of 15, 10, 19, 12, 15, 10 and 10? (a) 15 (b) 12 (c) 19 (d) 10
  23. 23.What is the mean of 15, 13, 8 and 16? (a) 12 (b) 14 (c) 13 (d) 15
  24. 24.What is the median of 35, 26, 20, 24, 38, 2 and 1? (a) 20 (b) 26 (c) 25 (d) 24
  25. 25.What is the mean of 8, 10, 6, 19 and 7? (a) 9 (b) 11 (c) 10 (d) 12
  26. 26.What is the mean of 14, 14, 16, 18 and 8? (a) 15 (b) 16 (c) 14 (d) 13
  27. 27.The mean of 7 numbers is 13. When the number 45 is added to them, what is the new mean? (a) 18 (b) 17 (c) 13 (d) 29
  28. 28.The mean of 6 numbers is 12. When the number 5 is added to them, what is the new mean? (a) 13 (b) 11 (c) 12 (d) 10
  29. 29.What is the mode of 4, 2, 13, 5, 13, 2 and 2? (a) 5 (b) 4 (c) 13 (d) 2
  30. 30.The mean of 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 22
  31. 31.What is the mean of 10, 6, 17 and 19? (a) 14 (b) 12 (c) 13 (d) 15
  32. 32.What is the mode of 10, 13, 2, 13, 13, 8 and 2? (a) 10 (b) 13 (c) 2 (d) 8
  33. 33.What is the median of 21, 33, 31, 27, 19, 20 and 28? (a) 27 (b) 21 (c) 28 (d) 26
  34. 34.What is the mode of 19, 16, 16, 12, 19, 19 and 8? (a) 16 (b) 8 (c) 12 (d) 19
  35. 35.The mean of 3 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 21
  36. 36.What is the mean of 4, 14, 19 and 11? (a) 11 (b) 13 (c) 16 (d) 12
  37. 37.What is the mean of 10, 13, 20, 17 and 15? (a) 14 (b) 16 (c) 17 (d) 15
  38. 38.The mean of 3 numbers is 29. When the number 37 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 33
  39. 39.What is the mode of 8, 17, 5, 8, 8, 17 and 4? (a) 17 (b) 5 (c) 4 (d) 8
  40. 40.What is the median of 4, 38, 37, 29, 18, 5 and 39? (a) 29 (b) 30 (c) 18 (d) 37

Answer key

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

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