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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 32 · 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 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 14 (b) 19 (c) 17 (d) 16
  2. 2.The mean of 4 numbers is 34. When the number 19 is added to them, what is the new mean? (a) 32 (b) 34 (c) 31 (d) 30
  3. 3.What is the mean of 13, 10, 12, 8 and 22? (a) 15 (b) 14 (c) 12 (d) 13
  4. 4.The mean of 3 numbers is 17. When the number 25 is added to them, what is the new mean? (a) 21 (b) 17 (c) 19 (d) 20
  5. 5.What is the mean of 13, 19, 10, 19 and 24? (a) 18 (b) 16 (c) 17 (d) 19
  6. 6.What is the mode of 12, 16, 4, 16, 7, 12 and 12? (a) 7 (b) 16 (c) 12 (d) 4
  7. 7.What is the mean of 6, 6, 11, 12, 17 and 20? (a) 11 (b) 12 (c) 13 (d) 14
  8. 8.What is the median of 33, 7, 28, 31 and 23? (a) 29 (b) 23 (c) 28 (d) 31
  9. 9.What is the median of 7, 12, 37, 33, 16, 31 and 15? (a) 15 (b) 31 (c) 16 (d) 33
  10. 10.What is the median of 33, 35, 17, 13 and 14? (a) 33 (b) 14 (c) 17 (d) 18
  11. 11.What is the mode of 19, 15, 8, 8, 8, 4 and 4? (a) 15 (b) 4 (c) 19 (d) 8
  12. 12.What is the mean of 18, 18, 6, 2, 13 and 21? (a) 13 (b) 14 (c) 15 (d) 12
  13. 13.What is the mean of 15, 10, 16 and 11? (a) 14 (b) 15 (c) 13 (d) 12
  14. 14.What is the mean of 8, 7, 4 and 5? (a) 5 (b) 7 (c) 8 (d) 6
  15. 15.The mean of 9 numbers is 38. When the number 68 is added to them, what is the new mean? (a) 41 (b) 53 (c) 42 (d) 38
  16. 16.What is the mode of 8, 16, 10, 10, 6, 6 and 10? (a) 16 (b) 8 (c) 10 (d) 6
  17. 17.What is the mean of 12, 5, 19, 18, 18 and 18? (a) 16 (b) 14 (c) 15 (d) 18
  18. 18.What is the median of 13, 40, 12, 4 and 11? (a) 13 (b) 16 (c) 12 (d) 11
  19. 19.The mean of 4 numbers is 20. When the number 5 is added to them, what is the new mean? (a) 16 (b) 17 (c) 20 (d) 18
  20. 20.What is the median of 5, 40, 32, 38 and 39? (a) 32 (b) 38 (c) 39 (d) 37
  21. 21.The mean of 9 numbers is 26. When the number 46 is added to them, what is the new mean? (a) 26 (b) 29 (c) 36 (d) 28
  22. 22.What is the median of 31, 32, 35, 19 and 24? (a) 35 (b) 32 (c) 24 (d) 31
  23. 23.What is the mode of 13, 10, 13, 13, 18, 5 and 10? (a) 5 (b) 10 (c) 13 (d) 18
  24. 24.What is the mean of 10, 5, 2, 6, 20 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  25. 25.What is the median of 2, 12, 9, 4, 31, 33 and 18? (a) 18 (b) 9 (c) 12 (d) 4
  26. 26.What is the median of 29, 5, 2, 32 and 26? (a) 2 (b) 5 (c) 26 (d) 29
  27. 27.What is the mean of 9, 2, 9, 3, 10 and 3? (a) 5 (b) 7 (c) 8 (d) 6
  28. 28.What is the mean of 6, 19, 18 and 9? (a) 13 (b) 12 (c) 14 (d) 15
  29. 29.What is the mean of 2, 12, 11 and 19? (a) 10 (b) 12 (c) 11 (d) 13
  30. 30.What is the mean of 8, 19, 18, 10 and 10? (a) 14 (b) 15 (c) 13 (d) 12
  31. 31.What is the mean of 6, 19, 16 and 7? (a) 11 (b) 13 (c) 16 (d) 12
  32. 32.What is the mean of 13, 9, 11, 17 and 20? (a) 16 (b) 14 (c) 15 (d) 13
  33. 33.What is the mean of 3, 19, 4, 4 and 20? (a) 11 (b) 10 (c) 12 (d) 9
  34. 34.What is the mode of 8, 14, 11, 8, 15, 11 and 11? (a) 15 (b) 14 (c) 11 (d) 8
  35. 35.The mean of 9 numbers is 14. When the number 54 is added to them, what is the new mean? (a) 14 (b) 18 (c) 34 (d) 19
  36. 36.What is the median of 6, 26, 34, 9, 8, 5 and 15? (a) 15 (b) 10 (c) 8 (d) 9
  37. 37.What is the mean of 18, 12, 13, 8, 6 and 3? (a) 12 (b) 9 (c) 10 (d) 11
  38. 38.The mean of 8 numbers is 25. When the number 16 is added to them, what is the new mean? (a) 24 (b) 25 (c) 26 (d) 23
  39. 39.What is the median of 12, 28, 2, 3, 25, 22 and 39? (a) 3 (b) 25 (c) 22 (d) 12
  40. 40.What is the median of 16, 4, 38, 2 and 24? (a) 24 (b) 38 (c) 16 (d) 4

Answer key

  1. 16
  2. 31
  3. 13
  4. 19
  5. 17
  6. 12
  7. 12
  8. 28
  9. 16
  10. 17
  11. 8
  12. 13
  13. 13
  14. 6
  15. 41
  16. 10
  17. 15
  18. 12
  19. 17
  20. 38
  21. 28
  22. 31
  23. 13
  24. 8
  25. 12
  26. 26
  27. 6
  28. 13
  29. 11
  30. 13
  31. 12
  32. 14
  33. 10
  34. 11
  35. 18
  36. 9
  37. 10
  38. 24
  39. 22
  40. 16

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