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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 469 · 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 31, 4, 7, 14 and 8? (a) 9 (b) 14 (c) 7 (d) 8
  2. 2.What is the mean of 2, 20, 4, 12 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  3. 3.What is the median of 19, 7, 25, 6, 1, 23 and 14? (a) 14 (b) 19 (c) 6 (d) 7
  4. 4.What is the median of 8, 39, 21, 28 and 24? (a) 21 (b) 28 (c) 25 (d) 24
  5. 5.What is the median of 27, 24, 21, 14 and 26? (a) 25 (b) 26 (c) 24 (d) 21
  6. 6.What is the median of 15, 29, 36, 24 and 13? (a) 29 (b) 15 (c) 24 (d) 36
  7. 7.What is the mode of 7, 20, 10, 10, 10, 9 and 7? (a) 20 (b) 7 (c) 10 (d) 9
  8. 8.What is the mean of 15, 4, 8, 14, 15 and 10? (a) 11 (b) 10 (c) 12 (d) 13
  9. 9.What is the mode of 8, 3, 3, 16, 1, 8 and 8? (a) 3 (b) 1 (c) 16 (d) 8
  10. 10.What is the mean of 8, 16, 5, 18 and 23? (a) 13 (b) 14 (c) 16 (d) 15
  11. 11.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 19 (b) 17 (c) 18 (d) 16
  12. 12.What is the mode of 18, 8, 3, 3, 3, 18 and 6? (a) 18 (b) 6 (c) 8 (d) 3
  13. 13.What is the mean of 17, 11, 13, 10 and 9? (a) 15 (b) 10 (c) 13 (d) 12
  14. 14.What is the mode of 14, 5, 5, 9, 20, 20 and 5? (a) 14 (b) 20 (c) 9 (d) 5
  15. 15.What is the mean of 10, 11, 9, 9 and 6? (a) 8 (b) 10 (c) 11 (d) 9
  16. 16.What is the mean of 9, 15, 8 and 20? (a) 15 (b) 12 (c) 14 (d) 13
  17. 17.What is the mean of 5, 20, 13 and 14? (a) 15 (b) 12 (c) 13 (d) 14
  18. 18.What is the mean of 20, 12, 9 and 19? (a) 16 (b) 20 (c) 12 (d) 15
  19. 19.What is the mean of 6, 9, 13, 6, 6 and 20? (a) 11 (b) 12 (c) 9 (d) 10
  20. 20.The mean of 3 numbers is 18. When the number 26 is added to them, what is the new mean? (a) 20 (b) 22 (c) 18 (d) 21
  21. 21.The mean of 5 numbers is 19. When the number 13 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 16
  22. 22.What is the mean of 9, 13, 6, 13 and 19? (a) 10 (b) 12 (c) 15 (d) 13
  23. 23.What is the mean of 6, 4, 5, 2 and 13? (a) 7 (b) 8 (c) 5 (d) 6
  24. 24.What is the mode of 16, 9, 9, 9, 5, 15 and 15? (a) 5 (b) 9 (c) 16 (d) 15
  25. 25.The mean of 7 numbers is 22. When the number 6 is added to them, what is the new mean? (a) 22 (b) 14 (c) 20 (d) 21
  26. 26.What is the mean of 18, 17, 8, 18 and 9? (a) 16 (b) 13 (c) 14 (d) 15
  27. 27.What is the mean of 5, 8, 5 and 14? (a) 8 (b) 7 (c) 10 (d) 9
  28. 28.What is the median of 14, 2, 16, 8, 32, 10 and 4? (a) 14 (b) 11 (c) 10 (d) 8
  29. 29.What is the median of 30, 40, 15, 4 and 11? (a) 20 (b) 30 (c) 15 (d) 11
  30. 30.What is the mean of 12, 17, 18 and 9? (a) 15 (b) 13 (c) 14 (d) 16
  31. 31.What is the mode of 15, 15, 9, 9, 7, 8 and 9? (a) 7 (b) 8 (c) 9 (d) 15
  32. 32.The mean of 3 numbers is 39. When the number 47 is added to them, what is the new mean? (a) 43 (b) 42 (c) 41 (d) 39
  33. 33.What is the mean of 17, 17, 6 and 4? (a) 11 (b) 12 (c) 10 (d) 13
  34. 34.What is the median of 25, 1, 13, 36 and 40? (a) 25 (b) 36 (c) 13 (d) 23
  35. 35.What is the mean of 7, 18, 10 and 17? (a) 15 (b) 12 (c) 14 (d) 13
  36. 36.What is the mean of 6, 5, 20, 7, 18 and 4? (a) 11 (b) 12 (c) 10 (d) 9
  37. 37.What is the median of 36, 17, 24, 33 and 39? (a) 34 (b) 33 (c) 36 (d) 24
  38. 38.What is the mode of 12, 5, 12, 12, 5, 16 and 8? (a) 16 (b) 8 (c) 5 (d) 12
  39. 39.What is the median of 19, 20, 17, 13, 37, 1 and 2? (a) 19 (b) 17 (c) 13 (d) 18
  40. 40.What is the mode of 17, 5, 13, 13, 13, 5 and 19? (a) 19 (b) 13 (c) 17 (d) 5

Answer key

  1. 8
  2. 9
  3. 14
  4. 24
  5. 24
  6. 24
  7. 10
  8. 11
  9. 8
  10. 14
  11. 17
  12. 3
  13. 12
  14. 5
  15. 9
  16. 13
  17. 13
  18. 15
  19. 10
  20. 20
  21. 18
  22. 12
  23. 6
  24. 9
  25. 20
  26. 14
  27. 8
  28. 10
  29. 15
  30. 14
  31. 9
  32. 41
  33. 11
  34. 25
  35. 13
  36. 10
  37. 33
  38. 12
  39. 17
  40. 13

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