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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 513 · 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 20, 8, 7, 8, 7, 7 and 11? (a) 7 (b) 11 (c) 8 (d) 20
  2. 2.What is the mode of 4, 17, 8, 4, 8, 3 and 4? (a) 4 (b) 8 (c) 17 (d) 3
  3. 3.What is the mean of 16, 9, 19 and 8? (a) 13 (b) 15 (c) 12 (d) 14
  4. 4.What is the median of 3, 28, 31, 37 and 34? (a) 28 (b) 32 (c) 34 (d) 31
  5. 5.What is the median of 24, 38, 2, 1, 34, 40 and 29? (a) 29 (b) 24 (c) 1 (d) 34
  6. 6.What is the median of 17, 13, 12, 16, 24, 27 and 31? (a) 16 (b) 20 (c) 24 (d) 17
  7. 7.What is the mode of 2, 7, 7, 8, 8, 8 and 9? (a) 2 (b) 7 (c) 9 (d) 8
  8. 8.What is the median of 23, 17, 39, 3 and 16? (a) 39 (b) 23 (c) 16 (d) 17
  9. 9.What is the mean of 3, 9, 7 and 5? (a) 5 (b) 8 (c) 6 (d) 7
  10. 10.What is the mean of 12, 17, 5, 18 and 13? (a) 12 (b) 14 (c) 15 (d) 13
  11. 11.What is the mean of 8, 7, 12, 15 and 8? (a) 9 (b) 12 (c) 10 (d) 11
  12. 12.What is the mean of 5, 13, 13, 9 and 10? (a) 12 (b) 11 (c) 10 (d) 9
  13. 13.The mean of 6 numbers is 18. When the number 25 is added to them, what is the new mean? (a) 18 (b) 21 (c) 19 (d) 20
  14. 14.What is the median of 36, 9, 30, 11 and 8? (a) 30 (b) 9 (c) 12 (d) 11
  15. 15.What is the mode of 4, 3, 14, 14, 4, 4 and 15? (a) 3 (b) 4 (c) 15 (d) 14
  16. 16.What is the median of 29, 39, 3, 4 and 9? (a) 9 (b) 4 (c) 29 (d) 3
  17. 17.The mean of 9 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 34 (b) 32 (c) 24 (d) 33
  18. 18.What is the mode of 5, 5, 16, 16, 16, 9 and 13? (a) 9 (b) 5 (c) 13 (d) 16
  19. 19.The mean of 5 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 41 (b) 32 (c) 35 (d) 36
  20. 20.What is the median of 9, 39, 24, 4 and 15? (a) 16 (b) 9 (c) 15 (d) 24
  21. 21.What is the mean of 8, 14, 18 and 20? (a) 12 (b) 15 (c) 20 (d) 16
  22. 22.What is the median of 36, 22, 9, 20, 30, 26 and 17? (a) 20 (b) 23 (c) 26 (d) 22
  23. 23.The mean of 4 numbers is 12. When the number 22 is added to them, what is the new mean? (a) 12 (b) 15 (c) 17 (d) 14
  24. 24.What is the mean of 17, 6, 6 and 7? (a) 9 (b) 10 (c) 12 (d) 8
  25. 25.What is the mean of 17, 11, 7, 5, 9 and 23? (a) 12 (b) 14 (c) 11 (d) 13
  26. 26.What is the median of 23, 30, 33, 10 and 28? (a) 30 (b) 33 (c) 23 (d) 28
  27. 27.What is the mode of 19, 18, 3, 19, 17, 3 and 19? (a) 3 (b) 17 (c) 18 (d) 19
  28. 28.The mean of 4 numbers is 19. When the number 4 is added to them, what is the new mean? (a) 16 (b) 15 (c) 19 (d) 17
  29. 29.What is the mean of 7, 6, 7 and 8? (a) 9 (b) 8 (c) 6 (d) 7
  30. 30.What is the median of 15, 12, 27, 5, 6, 4 and 19? (a) 15 (b) 5 (c) 6 (d) 12
  31. 31.The mean of 4 numbers is 27. When the number 17 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 22
  32. 32.The mean of 6 numbers is 23. When the number 30 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 24
  33. 33.What is the mode of 15, 20, 15, 2, 20, 6 and 20? (a) 15 (b) 6 (c) 2 (d) 20
  34. 34.What is the mean of 4, 15, 3, 9, 18 and 17? (a) 13 (b) 11 (c) 12 (d) 10
  35. 35.What is the mean of 5, 8, 14, 5, 2 and 8? (a) 7 (b) 8 (c) 6 (d) 9
  36. 36.What is the median of 9, 16, 4, 35 and 18? (a) 16 (b) 9 (c) 4 (d) 18
  37. 37.What is the mode of 13, 18, 19, 13, 19, 9 and 13? (a) 18 (b) 19 (c) 9 (d) 13
  38. 38.What is the mode of 7, 5, 16, 9, 16, 16 and 9? (a) 9 (b) 16 (c) 5 (d) 7
  39. 39.What is the mean of 19, 16, 18, 2, 10 and 7? (a) 13 (b) 12 (c) 11 (d) 14
  40. 40.What is the mean of 15, 3, 13, 16 and 18? (a) 15 (b) 12 (c) 13 (d) 14

Answer key

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

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