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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 845 · 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 mean of 14, 9, 17, 4, 9 and 7? (a) 12 (b) 11 (c) 10 (d) 9
  2. 2.The mean of 6 numbers is 39. When the number 25 is added to them, what is the new mean? (a) 32 (b) 39 (c) 37 (d) 38
  3. 3.What is the mode of 9, 6, 9, 5, 12, 6 and 6? (a) 6 (b) 5 (c) 9 (d) 12
  4. 4.The mean of 5 numbers is 31. When the number 43 is added to them, what is the new mean? (a) 37 (b) 34 (c) 31 (d) 33
  5. 5.What is the median of 15, 36, 19, 38, 37, 34 and 5? (a) 19 (b) 36 (c) 38 (d) 34
  6. 6.What is the mode of 1, 3, 3, 19, 7, 3 and 1? (a) 7 (b) 3 (c) 1 (d) 19
  7. 7.What is the median of 24, 19, 22, 3, 4, 13 and 28? (a) 19 (b) 3 (c) 13 (d) 22
  8. 8.What is the mode of 19, 18, 1, 18, 14, 14 and 18? (a) 19 (b) 1 (c) 14 (d) 18
  9. 9.The mean of 6 numbers is 34. When the number 62 is added to them, what is the new mean? (a) 34 (b) 48 (c) 39 (d) 38
  10. 10.What is the mean of 8, 5, 7, 2, 12 and 8? (a) 8 (b) 7 (c) 6 (d) 9
  11. 11.What is the mode of 18, 14, 7, 9, 7, 7 and 18? (a) 9 (b) 7 (c) 18 (d) 14
  12. 12.What is the mean of 14, 11, 19 and 16? (a) 20 (b) 16 (c) 12 (d) 15
  13. 13.What is the median of 24, 34, 16, 23, 4, 36 and 20? (a) 20 (b) 24 (c) 22 (d) 23
  14. 14.What is the median of 2, 11, 36, 16 and 32? (a) 11 (b) 32 (c) 16 (d) 36
  15. 15.What is the mean of 4, 18, 20 and 10? (a) 14 (b) 15 (c) 13 (d) 12
  16. 16.What is the mean of 11, 3, 6, 19, 8 and 13? (a) 9 (b) 11 (c) 10 (d) 12
  17. 17.What is the mean of 19, 20, 13, 5 and 3? (a) 10 (b) 13 (c) 15 (d) 12
  18. 18.What is the mean of 17, 12, 18 and 5? (a) 14 (b) 15 (c) 12 (d) 13
  19. 19.What is the mean of 10, 5, 7, 14, 3 and 15? (a) 9 (b) 10 (c) 8 (d) 11
  20. 20.What is the mean of 2, 12, 3, 19 and 24? (a) 10 (b) 13 (c) 12 (d) 15
  21. 21.What is the median of 9, 29, 21, 5 and 37? (a) 29 (b) 9 (c) 22 (d) 21
  22. 22.The mean of 3 numbers is 20. When the number 36 is added to them, what is the new mean? (a) 24 (b) 25 (c) 20 (d) 28
  23. 23.What is the median of 24, 27, 28, 23 and 33? (a) 24 (b) 26 (c) 28 (d) 27
  24. 24.What is the median of 33, 14, 21, 31 and 5? (a) 31 (b) 22 (c) 14 (d) 21
  25. 25.The mean of 8 numbers is 17. When the number 35 is added to them, what is the new mean? (a) 26 (b) 20 (c) 17 (d) 19
  26. 26.What is the mean of 17, 11, 14 and 2? (a) 12 (b) 13 (c) 11 (d) 10
  27. 27.The mean of 4 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 17 (b) 20 (c) 19 (d) 22
  28. 28.What is the mean of 15, 9, 3 and 13? (a) 11 (b) 9 (c) 10 (d) 8
  29. 29.What is the mean of 14, 16, 9, 6, 13 and 2? (a) 12 (b) 9 (c) 11 (d) 10
  30. 30.What is the mean of 15, 3, 17 and 17? (a) 14 (b) 13 (c) 12 (d) 15
  31. 31.What is the mean of 18, 6, 7 and 5? (a) 8 (b) 9 (c) 12 (d) 10
  32. 32.What is the mode of 19, 18, 19, 2, 5, 18 and 18? (a) 18 (b) 19 (c) 2 (d) 5
  33. 33.What is the mode of 19, 7, 15, 15, 9, 19 and 19? (a) 15 (b) 7 (c) 9 (d) 19
  34. 34.What is the mode of 19, 19, 20, 20, 19, 4 and 2? (a) 19 (b) 2 (c) 4 (d) 20
  35. 35.What is the median of 25, 24, 19, 4 and 39? (a) 25 (b) 19 (c) 23 (d) 24
  36. 36.What is the mode of 4, 12, 6, 7, 12, 7 and 12? (a) 12 (b) 6 (c) 7 (d) 4
  37. 37.What is the median of 28, 24, 31, 13 and 22? (a) 28 (b) 31 (c) 22 (d) 24
  38. 38.What is the median of 12, 4, 35, 9 and 29? (a) 9 (b) 35 (c) 12 (d) 29
  39. 39.What is the median of 12, 15, 38, 14, 34, 9 and 5? (a) 14 (b) 12 (c) 15 (d) 13
  40. 40.The mean of 7 numbers is 38. When the number 54 is added to them, what is the new mean? (a) 41 (b) 46 (c) 38 (d) 40

Answer key

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

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