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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 334 · 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 median of 2, 19, 8, 23, 25, 5 and 29? (a) 19 (b) 8 (c) 20 (d) 23
  2. 2.What is the median of 32, 16, 5, 1, 7, 15 and 29? (a) 1 (b) 7 (c) 16 (d) 15
  3. 3.What is the median of 26, 30, 9, 40 and 27? (a) 27 (b) 30 (c) 26 (d) 9
  4. 4.What is the median of 3, 14, 40, 39, 12, 37 and 1? (a) 12 (b) 14 (c) 37 (d) 39
  5. 5.What is the mode of 1, 20, 20, 13, 19, 19 and 19? (a) 20 (b) 13 (c) 19 (d) 1
  6. 6.What is the mean of 4, 18, 18, 16, 8 and 8? (a) 11 (b) 14 (c) 13 (d) 12
  7. 7.What is the mode of 14, 14, 18, 12, 12, 12 and 16? (a) 12 (b) 18 (c) 14 (d) 16
  8. 8.What is the mode of 18, 18, 9, 1, 1, 1 and 6? (a) 1 (b) 9 (c) 6 (d) 18
  9. 9.What is the median of 15, 38, 9, 34 and 33? (a) 9 (b) 33 (c) 15 (d) 34
  10. 10.What is the mean of 12, 9, 14, 15 and 5? (a) 11 (b) 10 (c) 13 (d) 12
  11. 11.What is the mean of 20, 6, 15, 14, 4 and 13? (a) 11 (b) 13 (c) 12 (d) 14
  12. 12.What is the mean of 8, 13, 8, 5 and 6? (a) 7 (b) 9 (c) 10 (d) 8
  13. 13.The mean of 5 numbers is 16. When the number 22 is added to them, what is the new mean? (a) 17 (b) 16 (c) 19 (d) 18
  14. 14.What is the mode of 12, 14, 5, 18, 12, 12 and 5? (a) 12 (b) 18 (c) 5 (d) 14
  15. 15.The mean of 6 numbers is 16. When the number 9 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 17
  16. 16.What is the mode of 3, 19, 1, 14, 3, 14 and 14? (a) 19 (b) 3 (c) 1 (d) 14
  17. 17.What is the mean of 12, 12, 20 and 4? (a) 16 (b) 13 (c) 11 (d) 12
  18. 18.What is the mode of 19, 17, 20, 19, 19, 1 and 20? (a) 1 (b) 17 (c) 20 (d) 19
  19. 19.What is the mode of 3, 16, 10, 5, 10, 16 and 10? (a) 10 (b) 3 (c) 16 (d) 5
  20. 20.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 11 (b) 9 (c) 12 (d) 10
  21. 21.What is the mean of 3, 2, 2 and 5? (a) 2 (b) 3 (c) 4 (d) 5
  22. 22.What is the mean of 6, 13, 2 and 11? (a) 8 (b) 7 (c) 9 (d) 10
  23. 23.What is the mode of 7, 7, 19, 13, 13, 7 and 16? (a) 13 (b) 16 (c) 7 (d) 19
  24. 24.What is the median of 27, 8, 30, 22 and 40? (a) 30 (b) 28 (c) 27 (d) 22
  25. 25.The mean of 9 numbers is 34. When the number 4 is added to them, what is the new mean? (a) 34 (b) 19 (c) 32 (d) 31
  26. 26.What is the median of 28, 16, 2, 27 and 10? (a) 10 (b) 2 (c) 16 (d) 27
  27. 27.The mean of 9 numbers is 19. When the number 49 is added to them, what is the new mean? (a) 23 (b) 34 (c) 19 (d) 22
  28. 28.The mean of 4 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 27 (b) 37 (c) 31 (d) 32
  29. 29.What is the mean of 18, 2, 15, 19, 3 and 15? (a) 14 (b) 11 (c) 12 (d) 13
  30. 30.The mean of 7 numbers is 19. When the number 11 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 17
  31. 31.What is the mode of 12, 12, 9, 10, 17, 9 and 12? (a) 17 (b) 9 (c) 10 (d) 12
  32. 32.The mean of 3 numbers is 12. When the number 24 is added to them, what is the new mean? (a) 15 (b) 16 (c) 18 (d) 12
  33. 33.The mean of 3 numbers is 20. When the number 4 is added to them, what is the new mean? (a) 16 (b) 17 (c) 20 (d) 12
  34. 34.What is the mode of 18, 9, 8, 18, 13, 18 and 13? (a) 13 (b) 18 (c) 8 (d) 9
  35. 35.What is the mode of 9, 6, 9, 6, 7, 6 and 2? (a) 6 (b) 9 (c) 7 (d) 2
  36. 36.What is the mean of 13, 11, 4, 7 and 5? (a) 7 (b) 8 (c) 10 (d) 9
  37. 37.What is the median of 23, 31, 24, 20 and 27? (a) 23 (b) 27 (c) 24 (d) 25
  38. 38.What is the median of 7, 29, 24, 2 and 28? (a) 18 (b) 28 (c) 24 (d) 7
  39. 39.What is the mode of 10, 2, 10, 12, 2, 2 and 9? (a) 12 (b) 9 (c) 2 (d) 10
  40. 40.What is the mean of 10, 13, 8, 5, 5 and 7? (a) 9 (b) 7 (c) 8 (d) 10

Answer key

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

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