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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 297 · 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 15, 10, 5, 5, 5, 9 and 10? (a) 9 (b) 10 (c) 15 (d) 5
  2. 2.The mean of 8 numbers is 36. When the number 54 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 45
  3. 3.What is the mean of 5, 2, 10, 4, 3 and 18? (a) 6 (b) 8 (c) 7 (d) 9
  4. 4.What is the mean of 6, 2, 20 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  5. 5.What is the mode of 4, 4, 4, 2, 9, 9 and 12? (a) 2 (b) 12 (c) 9 (d) 4
  6. 6.The mean of 5 numbers is 21. When the number 39 is added to them, what is the new mean? (a) 24 (b) 30 (c) 21 (d) 25
  7. 7.What is the mean of 18, 11, 17, 20 and 14? (a) 15 (b) 16 (c) 17 (d) 20
  8. 8.The mean of 6 numbers is 27. When the number 34 is added to them, what is the new mean? (a) 28 (b) 30 (c) 27 (d) 29
  9. 9.What is the mode of 20, 19, 4, 11, 4, 4 and 20? (a) 20 (b) 11 (c) 19 (d) 4
  10. 10.What is the mode of 7, 15, 12, 6, 6, 15 and 6? (a) 7 (b) 15 (c) 12 (d) 6
  11. 11.What is the mean of 20, 6, 13, 18, 18 and 15? (a) 16 (b) 15 (c) 18 (d) 14
  12. 12.What is the mean of 16, 15, 18 and 7? (a) 13 (b) 15 (c) 16 (d) 14
  13. 13.What is the median of 37, 28, 33, 2, 9, 21 and 1? (a) 28 (b) 9 (c) 21 (d) 2
  14. 14.The mean of 3 numbers is 39. When the number 43 is added to them, what is the new mean? (a) 40 (b) 39 (c) 42 (d) 41
  15. 15.What is the median of 15, 9, 27, 18 and 32? (a) 15 (b) 18 (c) 19 (d) 27
  16. 16.What is the mean of 18, 5, 20, 6 and 21? (a) 14 (b) 13 (c) 15 (d) 16
  17. 17.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 30 (b) 29 (c) 32 (d) 31
  18. 18.What is the mean of 16, 11, 10, 11, 6 and 6? (a) 12 (b) 9 (c) 10 (d) 11
  19. 19.What is the mode of 16, 7, 12, 12, 17, 16 and 12? (a) 16 (b) 7 (c) 17 (d) 12
  20. 20.What is the mean of 3, 20, 19, 7, 8 and 3? (a) 9 (b) 10 (c) 11 (d) 12
  21. 21.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 29 (b) 21 (c) 17 (d) 20
  22. 22.What is the mean of 9, 2, 2 and 19? (a) 9 (b) 10 (c) 8 (d) 7
  23. 23.What is the mean of 13, 3, 14, 2, 3 and 7? (a) 6 (b) 7 (c) 9 (d) 8
  24. 24.The mean of 8 numbers is 39. When the number 66 is added to them, what is the new mean? (a) 41 (b) 39 (c) 42 (d) 43
  25. 25.What is the mean of 13, 16, 2, 16 and 8? (a) 10 (b) 11 (c) 13 (d) 12
  26. 26.What is the median of 11, 17, 4, 29 and 22? (a) 22 (b) 11 (c) 4 (d) 17
  27. 27.What is the mean of 3, 7, 8, 17 and 20? (a) 10 (b) 13 (c) 12 (d) 11
  28. 28.What is the median of 34, 13, 1, 36, 30, 33 and 19? (a) 36 (b) 19 (c) 30 (d) 33
  29. 29.What is the mode of 14, 7, 7, 6, 16, 6 and 7? (a) 14 (b) 7 (c) 6 (d) 16
  30. 30.What is the median of 37, 10, 22, 21, 25, 16 and 23? (a) 21 (b) 24 (c) 23 (d) 22
  31. 31.What is the mode of 11, 9, 7, 10, 9, 10 and 10? (a) 9 (b) 7 (c) 10 (d) 11
  32. 32.The mean of 9 numbers is 34. When the number 74 is added to them, what is the new mean? (a) 34 (b) 39 (c) 54 (d) 38
  33. 33.What is the median of 15, 23, 35, 29, 31, 34 and 37? (a) 34 (b) 31 (c) 32 (d) 29
  34. 34.The mean of 3 numbers is 25. When the number 13 is added to them, what is the new mean? (a) 23 (b) 25 (c) 22 (d) 19
  35. 35.What is the mode of 12, 16, 16, 3, 14, 14 and 16? (a) 16 (b) 12 (c) 14 (d) 3
  36. 36.What is the median of 20, 6, 12, 21, 14, 27 and 28? (a) 21 (b) 20 (c) 14 (d) 19
  37. 37.What is the mode of 8, 10, 5, 5, 3, 10 and 10? (a) 10 (b) 8 (c) 3 (d) 5
  38. 38.The mean of 4 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 19 (b) 21 (c) 24 (d) 22
  39. 39.What is the mode of 10, 16, 1, 1, 14, 10 and 1? (a) 10 (b) 14 (c) 1 (d) 16
  40. 40.The mean of 9 numbers is 31. When the number 51 is added to them, what is the new mean? (a) 41 (b) 34 (c) 31 (d) 33

Answer key

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

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