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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 605 · 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 2, 5, 2, 17, 5, 12 and 5? (a) 2 (b) 12 (c) 5 (d) 17
  2. 2.What is the median of 16, 11, 14, 20, 25, 3 and 18? (a) 18 (b) 16 (c) 20 (d) 14
  3. 3.What is the median of 6, 9, 24, 34 and 8? (a) 9 (b) 24 (c) 10 (d) 8
  4. 4.What is the mean of 6, 12, 7, 15 and 10? (a) 9 (b) 11 (c) 12 (d) 10
  5. 5.What is the mean of 19, 7, 4 and 6? (a) 12 (b) 9 (c) 10 (d) 8
  6. 6.What is the mode of 15, 17, 10, 17, 17, 18 and 18? (a) 10 (b) 18 (c) 15 (d) 17
  7. 7.What is the mode of 13, 10, 4, 2, 2, 13 and 13? (a) 10 (b) 4 (c) 2 (d) 13
  8. 8.What is the mean of 13, 12, 14 and 17? (a) 16 (b) 14 (c) 15 (d) 13
  9. 9.What is the median of 8, 34, 9, 25, 20, 33 and 30? (a) 26 (b) 20 (c) 25 (d) 30
  10. 10.What is the median of 1, 12, 5, 15 and 6? (a) 5 (b) 12 (c) 7 (d) 6
  11. 11.What is the median of 29, 6, 25, 32, 4, 12 and 21? (a) 21 (b) 12 (c) 25 (d) 32
  12. 12.The mean of 5 numbers is 18. When the number 24 is added to them, what is the new mean? (a) 18 (b) 19 (c) 21 (d) 20
  13. 13.What is the mean of 11, 5, 12, 12 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  14. 14.The mean of 3 numbers is 29. When the number 21 is added to them, what is the new mean? (a) 28 (b) 27 (c) 29 (d) 25
  15. 15.What is the median of 12, 4, 30, 5, 31, 39 and 26? (a) 30 (b) 26 (c) 5 (d) 21
  16. 16.What is the mean of 13, 5, 18, 4 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  17. 17.The mean of 5 numbers is 18. When the number 6 is added to them, what is the new mean? (a) 16 (b) 17 (c) 12 (d) 18
  18. 18.What is the median of 26, 37, 13, 24 and 5? (a) 13 (b) 21 (c) 26 (d) 24
  19. 19.What is the mean of 14, 11, 11 and 8? (a) 10 (b) 11 (c) 12 (d) 13
  20. 20.What is the median of 17, 18, 36, 3 and 23? (a) 17 (b) 18 (c) 36 (d) 23
  21. 21.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 10 (b) 14 (c) 13 (d) 16
  22. 22.What is the median of 16, 20, 18, 23, 35, 30 and 8? (a) 23 (b) 21 (c) 20 (d) 18
  23. 23.The mean of 6 numbers is 28. When the number 49 is added to them, what is the new mean? (a) 28 (b) 32 (c) 30 (d) 31
  24. 24.What is the median of 3, 6, 35, 15 and 1? (a) 35 (b) 12 (c) 15 (d) 6
  25. 25.What is the mean of 14, 5, 16 and 21? (a) 15 (b) 14 (c) 16 (d) 13
  26. 26.The mean of 9 numbers is 30. When the number 40 is added to them, what is the new mean? (a) 30 (b) 32 (c) 31 (d) 35
  27. 27.What is the median of 9, 20, 5, 26 and 34? (a) 9 (b) 20 (c) 26 (d) 5
  28. 28.What is the mode of 20, 3, 3, 3, 2, 2 and 1? (a) 3 (b) 20 (c) 1 (d) 2
  29. 29.What is the median of 6, 2, 27, 12, 39, 31 and 24? (a) 12 (b) 24 (c) 25 (d) 27
  30. 30.What is the mean of 9, 8, 12, 17 and 19? (a) 13 (b) 12 (c) 14 (d) 15
  31. 31.What is the mean of 18, 8, 9, 16, 19 and 2? (a) 13 (b) 14 (c) 12 (d) 11
  32. 32.The mean of 8 numbers is 17. When the number 53 is added to them, what is the new mean? (a) 21 (b) 17 (c) 22 (d) 35
  33. 33.What is the median of 33, 20, 6, 3 and 1? (a) 7 (b) 6 (c) 3 (d) 20
  34. 34.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 14 (b) 16 (c) 15 (d) 17
  35. 35.The mean of 3 numbers is 28. When the number 32 is added to them, what is the new mean? (a) 28 (b) 31 (c) 30 (d) 29
  36. 36.What is the mean of 14, 5, 6, 7, 18 and 10? (a) 9 (b) 12 (c) 11 (d) 10
  37. 37.What is the mode of 7, 1, 7, 6, 6, 6 and 8? (a) 8 (b) 1 (c) 7 (d) 6
  38. 38.What is the mean of 2, 15, 10, 12, 6 and 9? (a) 11 (b) 9 (c) 10 (d) 8
  39. 39.The mean of 8 numbers is 34. When the number 70 is added to them, what is the new mean? (a) 39 (b) 38 (c) 34 (d) 52
  40. 40.The mean of 4 numbers is 19. When the number 34 is added to them, what is the new mean? (a) 22 (b) 23 (c) 19 (d) 21

Answer key

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

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