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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 547 · 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 6 numbers is 19. When the number 12 is added to them, what is the new mean? (a) 20 (b) 19 (c) 17 (d) 18
  2. 2.What is the median of 8, 9, 25, 3 and 26? (a) 9 (b) 10 (c) 25 (d) 8
  3. 3.What is the median of 16, 33, 31, 26, 14, 6 and 12? (a) 16 (b) 17 (c) 14 (d) 26
  4. 4.What is the mean of 2, 7, 20 and 7? (a) 9 (b) 12 (c) 10 (d) 8
  5. 5.What is the mode of 14, 17, 17, 2, 17, 14 and 6? (a) 14 (b) 2 (c) 6 (d) 17
  6. 6.What is the median of 20, 15, 12, 25 and 24? (a) 12 (b) 15 (c) 20 (d) 24
  7. 7.What is the mean of 3, 17, 14, 6 and 20? (a) 13 (b) 10 (c) 12 (d) 15
  8. 8.The mean of 3 numbers is 29. When the number 13 is added to them, what is the new mean? (a) 29 (b) 21 (c) 25 (d) 26
  9. 9.The mean of 3 numbers is 27. When the number 35 is added to them, what is the new mean? (a) 31 (b) 29 (c) 27 (d) 30
  10. 10.What is the mean of 14, 17, 18 and 7? (a) 15 (b) 14 (c) 13 (d) 16
  11. 11.What is the mean of 7, 9, 14 and 6? (a) 8 (b) 12 (c) 10 (d) 9
  12. 12.What is the mode of 16, 2, 16, 16, 2, 8 and 1? (a) 2 (b) 16 (c) 8 (d) 1
  13. 13.What is the mean of 19, 8, 13, 19 and 6? (a) 12 (b) 14 (c) 13 (d) 15
  14. 14.What is the median of 2, 5, 31, 13, 15, 40 and 38? (a) 13 (b) 16 (c) 15 (d) 31
  15. 15.The mean of 7 numbers is 25. When the number 57 is added to them, what is the new mean? (a) 29 (b) 41 (c) 25 (d) 30
  16. 16.What is the median of 32, 5, 12, 40, 29, 38 and 10? (a) 40 (b) 12 (c) 29 (d) 32
  17. 17.The mean of 3 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 18 (b) 19 (c) 15 (d) 17
  18. 18.What is the median of 31, 8, 4, 25 and 5? (a) 8 (b) 25 (c) 5 (d) 4
  19. 19.The mean of 6 numbers is 40. When the number 61 is added to them, what is the new mean? (a) 40 (b) 43 (c) 44 (d) 42
  20. 20.What is the mode of 3, 17, 16, 19, 3, 16 and 3? (a) 16 (b) 17 (c) 3 (d) 19
  21. 21.What is the mode of 3, 18, 9, 4, 4, 4 and 18? (a) 3 (b) 18 (c) 4 (d) 9
  22. 22.What is the mode of 1, 20, 4, 4, 20, 11 and 4? (a) 4 (b) 11 (c) 20 (d) 1
  23. 23.What is the mean of 17, 10, 8 and 13? (a) 12 (b) 13 (c) 16 (d) 11
  24. 24.What is the mean of 17, 5, 17, 15, 9 and 21? (a) 14 (b) 15 (c) 12 (d) 13
  25. 25.What is the mean of 15, 12, 4, 3 and 6? (a) 7 (b) 10 (c) 8 (d) 9
  26. 26.What is the mode of 6, 6, 8, 13, 14, 14 and 14? (a) 13 (b) 6 (c) 8 (d) 14
  27. 27.What is the mean of 10, 10, 5 and 11? (a) 12 (b) 9 (c) 8 (d) 10
  28. 28.What is the median of 24, 27, 6, 9, 4, 7 and 2? (a) 6 (b) 8 (c) 9 (d) 7
  29. 29.What is the median of 31, 23, 5, 24 and 12? (a) 24 (b) 5 (c) 19 (d) 23
  30. 30.What is the mode of 2, 5, 17, 17, 11, 17 and 2? (a) 11 (b) 17 (c) 5 (d) 2
  31. 31.What is the median of 21, 35, 10, 15, 7, 26 and 14? (a) 16 (b) 15 (c) 14 (d) 21
  32. 32.What is the median of 24, 32, 10, 22 and 27? (a) 10 (b) 24 (c) 27 (d) 23
  33. 33.The mean of 5 numbers is 39. When the number 21 is added to them, what is the new mean? (a) 36 (b) 39 (c) 37 (d) 30
  34. 34.What is the mode of 3, 17, 3, 4, 3, 7 and 7? (a) 3 (b) 4 (c) 17 (d) 7
  35. 35.What is the median of 6, 34, 17, 39 and 19? (a) 19 (b) 23 (c) 17 (d) 34
  36. 36.What is the mode of 14, 14, 14, 12, 13, 17 and 13? (a) 12 (b) 13 (c) 17 (d) 14
  37. 37.What is the mean of 15, 3, 11 and 15? (a) 13 (b) 12 (c) 10 (d) 11
  38. 38.What is the mean of 10, 19, 20 and 15? (a) 18 (b) 16 (c) 17 (d) 15
  39. 39.What is the mode of 4, 1, 1, 14, 1, 5 and 4? (a) 4 (b) 5 (c) 14 (d) 1
  40. 40.What is the mode of 16, 19, 2, 2, 16, 16 and 14? (a) 14 (b) 19 (c) 16 (d) 2

Answer key

  1. 18
  2. 9
  3. 16
  4. 9
  5. 17
  6. 20
  7. 12
  8. 25
  9. 29
  10. 14
  11. 9
  12. 16
  13. 13
  14. 15
  15. 29
  16. 29
  17. 17
  18. 8
  19. 43
  20. 3
  21. 4
  22. 4
  23. 12
  24. 14
  25. 8
  26. 14
  27. 9
  28. 7
  29. 23
  30. 17
  31. 15
  32. 24
  33. 36
  34. 3
  35. 19
  36. 14
  37. 11
  38. 16
  39. 1
  40. 16

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