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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 139 · 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 mode of 12, 12, 6, 13, 6, 6 and 7? (a) 7 (b) 6 (c) 12 (d) 13
  2. 2.What is the mean of 11, 9, 11 and 13? (a) 11 (b) 10 (c) 13 (d) 12
  3. 3.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 25 (b) 16 (c) 28 (d) 24
  4. 4.What is the median of 3, 25, 24, 7, 4, 8 and 18? (a) 18 (b) 7 (c) 8 (d) 9
  5. 5.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 26 (b) 22 (c) 25 (d) 27
  6. 6.The mean of 3 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 14 (b) 19 (c) 18 (d) 22
  7. 7.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 22 (b) 18 (c) 23 (d) 34
  8. 8.What is the mean of 13, 17, 17, 14, 8 and 9? (a) 12 (b) 14 (c) 13 (d) 15
  9. 9.What is the mean of 12, 7, 14, 11, 13 and 15? (a) 12 (b) 14 (c) 13 (d) 11
  10. 10.What is the mean of 18, 10, 12, 8 and 17? (a) 13 (b) 12 (c) 15 (d) 14
  11. 11.The mean of 7 numbers is 30. When the number 14 is added to them, what is the new mean? (a) 29 (b) 28 (c) 22 (d) 30
  12. 12.The mean of 9 numbers is 23. When the number 43 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 33
  13. 13.What is the median of 17, 3, 24, 34, 4, 32 and 10? (a) 34 (b) 24 (c) 17 (d) 10
  14. 14.What is the median of 11, 12, 16, 35 and 32? (a) 17 (b) 32 (c) 12 (d) 16
  15. 15.The mean of 3 numbers is 19. When the number 23 is added to them, what is the new mean? (a) 22 (b) 20 (c) 19 (d) 21
  16. 16.What is the mode of 5, 5, 13, 19, 5, 7 and 7? (a) 13 (b) 19 (c) 7 (d) 5
  17. 17.The mean of 6 numbers is 39. When the number 60 is added to them, what is the new mean? (a) 39 (b) 41 (c) 42 (d) 43
  18. 18.The mean of 4 numbers is 24. When the number 9 is added to them, what is the new mean? (a) 22 (b) 20 (c) 21 (d) 24
  19. 19.What is the mean of 10, 3, 10, 13 and 14? (a) 12 (b) 10 (c) 9 (d) 11
  20. 20.What is the mode of 11, 15, 3, 3, 15, 15 and 5? (a) 3 (b) 5 (c) 15 (d) 11
  21. 21.The mean of 7 numbers is 25. When the number 17 is added to them, what is the new mean? (a) 24 (b) 25 (c) 23 (d) 21
  22. 22.What is the median of 13, 24, 33, 22 and 27? (a) 22 (b) 27 (c) 24 (d) 33
  23. 23.The mean of 8 numbers is 32. When the number 68 is added to them, what is the new mean? (a) 36 (b) 37 (c) 50 (d) 32
  24. 24.What is the median of 10, 15, 32, 16, 38, 18 and 17? (a) 18 (b) 19 (c) 16 (d) 17
  25. 25.What is the mean of 12, 10, 20 and 10? (a) 12 (b) 15 (c) 13 (d) 14
  26. 26.What is the mode of 2, 13, 10, 5, 13, 5 and 13? (a) 5 (b) 13 (c) 10 (d) 2
  27. 27.What is the mode of 8, 5, 8, 8, 10, 16 and 5? (a) 16 (b) 8 (c) 5 (d) 10
  28. 28.What is the median of 37, 14, 13, 30, 9, 10 and 2? (a) 10 (b) 13 (c) 14 (d) 30
  29. 29.What is the mean of 16, 5, 14, 3 and 7? (a) 10 (b) 11 (c) 8 (d) 9
  30. 30.What is the median of 7, 40, 15, 16 and 2? (a) 14 (b) 15 (c) 7 (d) 16
  31. 31.What is the mean of 3, 7, 16, 2, 18 and 20? (a) 12 (b) 10 (c) 11 (d) 13
  32. 32.The mean of 7 numbers is 14. When the number 6 is added to them, what is the new mean? (a) 10 (b) 12 (c) 13 (d) 14
  33. 33.What is the median of 14, 31, 33, 9, 8, 26 and 5? (a) 18 (b) 14 (c) 9 (d) 26
  34. 34.What is the mean of 11, 2, 17 and 18? (a) 13 (b) 16 (c) 12 (d) 11
  35. 35.What is the mode of 15, 20, 15, 11, 11, 15 and 16? (a) 15 (b) 11 (c) 20 (d) 16
  36. 36.The mean of 4 numbers is 13. When the number 8 is added to them, what is the new mean? (a) 12 (b) 14 (c) 13 (d) 11
  37. 37.What is the mode of 17, 2, 20, 20, 16, 20 and 2? (a) 2 (b) 17 (c) 20 (d) 16
  38. 38.What is the mean of 17, 9, 4 and 18? (a) 16 (b) 13 (c) 12 (d) 11
  39. 39.What is the median of 2, 1, 22, 35, 3, 6 and 13? (a) 3 (b) 13 (c) 6 (d) 35
  40. 40.What is the median of 9, 26, 34, 35, 28, 15 and 10? (a) 26 (b) 35 (c) 28 (d) 15

Answer key

  1. 6
  2. 11
  3. 24
  4. 8
  5. 25
  6. 18
  7. 22
  8. 13
  9. 12
  10. 13
  11. 28
  12. 25
  13. 17
  14. 16
  15. 20
  16. 5
  17. 42
  18. 21
  19. 10
  20. 15
  21. 24
  22. 24
  23. 36
  24. 17
  25. 13
  26. 13
  27. 8
  28. 13
  29. 9
  30. 15
  31. 11
  32. 13
  33. 14
  34. 12
  35. 15
  36. 12
  37. 20
  38. 12
  39. 6
  40. 26

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