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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 81 · 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.The mean of 8 numbers is 29. When the number 38 is added to them, what is the new mean? (a) 29 (b) 31 (c) 32 (d) 30
  2. 2.What is the mode of 15, 15, 20, 13, 20, 15 and 18? (a) 15 (b) 20 (c) 13 (d) 18
  3. 3.What is the median of 37, 33, 4, 34, 25, 1 and 12? (a) 12 (b) 25 (c) 33 (d) 34
  4. 4.What is the median of 25, 24, 9, 21, 38, 12 and 32? (a) 25 (b) 21 (c) 24 (d) 23
  5. 5.The mean of 5 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 20 (b) 25 (c) 19 (d) 16
  6. 6.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 34 (b) 38 (c) 22 (d) 35
  7. 7.What is the mean of 16, 3, 7 and 10? (a) 12 (b) 9 (c) 8 (d) 10
  8. 8.What is the median of 35, 22, 10, 33 and 6? (a) 23 (b) 33 (c) 22 (d) 10
  9. 9.What is the median of 38, 3, 30, 10, 17, 16 and 34? (a) 16 (b) 30 (c) 17 (d) 10
  10. 10.What is the median of 2, 4, 7, 29 and 17? (a) 17 (b) 7 (c) 4 (d) 8
  11. 11.What is the mean of 20, 18, 19, 20, 6 and 13? (a) 18 (b) 16 (c) 17 (d) 15
  12. 12.What is the mean of 8, 2, 13, 17, 2 and 18? (a) 11 (b) 12 (c) 9 (d) 10
  13. 13.What is the median of 39, 29, 8, 32 and 37? (a) 29 (b) 8 (c) 37 (d) 32
  14. 14.What is the mean of 17, 7, 12, 2, 11 and 17? (a) 10 (b) 12 (c) 11 (d) 13
  15. 15.The mean of 5 numbers is 33. When the number 51 is added to them, what is the new mean? (a) 37 (b) 36 (c) 42 (d) 33
  16. 16.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 13 (b) 14 (c) 16 (d) 15
  17. 17.The mean of 8 numbers is 17. When the number 26 is added to them, what is the new mean? (a) 17 (b) 19 (c) 20 (d) 18
  18. 18.What is the mean of 11, 9, 17 and 11? (a) 12 (b) 16 (c) 13 (d) 11
  19. 19.What is the mean of 18, 20, 2, 14 and 21? (a) 15 (b) 14 (c) 17 (d) 16
  20. 20.The mean of 6 numbers is 14. When the number 35 is added to them, what is the new mean? (a) 16 (b) 14 (c) 17 (d) 18
  21. 21.What is the mean of 3, 18, 15, 3 and 11? (a) 10 (b) 9 (c) 12 (d) 11
  22. 22.What is the median of 31, 19, 7, 33, 12, 8 and 10? (a) 10 (b) 33 (c) 19 (d) 12
  23. 23.What is the median of 18, 24, 6, 34 and 7? (a) 6 (b) 24 (c) 7 (d) 18
  24. 24.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 29 (b) 31 (c) 32 (d) 33
  25. 25.The mean of 7 numbers is 36. When the number 68 is added to them, what is the new mean? (a) 36 (b) 41 (c) 40 (d) 52
  26. 26.What is the mode of 9, 9, 14, 3, 1, 9 and 3? (a) 1 (b) 9 (c) 14 (d) 3
  27. 27.What is the mode of 8, 8, 5, 5, 6, 5 and 17? (a) 5 (b) 8 (c) 17 (d) 6
  28. 28.The mean of 9 numbers is 33. When the number 63 is added to them, what is the new mean? (a) 36 (b) 33 (c) 48 (d) 37
  29. 29.What is the median of 38, 1, 14, 25, 29, 32 and 27? (a) 27 (b) 29 (c) 25 (d) 28
  30. 30.The mean of 3 numbers is 27. When the number 31 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 30
  31. 31.What is the median of 12, 26, 10, 19 and 9? (a) 10 (b) 13 (c) 19 (d) 12
  32. 32.What is the mean of 19, 12, 18, 11, 4 and 20? (a) 12 (b) 14 (c) 15 (d) 13
  33. 33.The mean of 5 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 12 (b) 15 (c) 16 (d) 21
  34. 34.The mean of 5 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 36 (b) 32 (c) 30 (d) 33
  35. 35.What is the mean of 9, 8, 13, 6 and 19? (a) 10 (b) 11 (c) 13 (d) 12
  36. 36.What is the mean of 6, 2, 7, 4, 19 and 4? (a) 9 (b) 6 (c) 8 (d) 7
  37. 37.The mean of 5 numbers is 32. When the number 38 is added to them, what is the new mean? (a) 35 (b) 33 (c) 34 (d) 32
  38. 38.The mean of 7 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 29 (b) 27 (c) 28 (d) 25
  39. 39.What is the median of 17, 12, 14, 18 and 5? (a) 15 (b) 12 (c) 14 (d) 17
  40. 40.What is the mode of 8, 9, 3, 5, 9, 3 and 9? (a) 8 (b) 3 (c) 9 (d) 5

Answer key

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

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