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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 617 · 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 30, 25, 33, 11, 37, 7 and 31? (a) 11 (b) 25 (c) 31 (d) 30
  2. 2.The mean of 4 numbers is 24. When the number 9 is added to them, what is the new mean? (a) 20 (b) 22 (c) 24 (d) 21
  3. 3.What is the mean of 3, 11, 13 and 13? (a) 10 (b) 11 (c) 9 (d) 8
  4. 4.What is the median of 4, 31, 38, 20 and 36? (a) 20 (b) 36 (c) 31 (d) 38
  5. 5.What is the mean of 4, 8, 16 and 16? (a) 10 (b) 13 (c) 12 (d) 11
  6. 6.What is the mean of 10, 3, 3 and 8? (a) 5 (b) 7 (c) 6 (d) 8
  7. 7.What is the mean of 13, 20, 3, 15, 14 and 13? (a) 13 (b) 12 (c) 15 (d) 14
  8. 8.What is the mode of 14, 14, 6, 14, 2, 4 and 2? (a) 6 (b) 14 (c) 4 (d) 2
  9. 9.What is the mode of 4, 16, 16, 12, 12, 8 and 12? (a) 4 (b) 8 (c) 12 (d) 16
  10. 10.What is the median of 2, 11, 22, 1, 37, 26 and 17? (a) 11 (b) 22 (c) 1 (d) 17
  11. 11.What is the mean of 16, 7, 17 and 16? (a) 16 (b) 13 (c) 15 (d) 14
  12. 12.What is the mode of 11, 15, 15, 17, 11, 13 and 11? (a) 11 (b) 15 (c) 17 (d) 13
  13. 13.What is the mode of 4, 9, 4, 9, 4, 17 and 11? (a) 11 (b) 9 (c) 17 (d) 4
  14. 14.What is the mode of 7, 7, 6, 6, 11, 7 and 8? (a) 8 (b) 11 (c) 6 (d) 7
  15. 15.What is the median of 35, 12, 13, 34, 24, 22 and 33? (a) 24 (b) 22 (c) 33 (d) 34
  16. 16.The mean of 3 numbers is 40. When the number 36 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39
  17. 17.What is the median of 8, 18, 29, 9, 12, 7 and 38? (a) 18 (b) 9 (c) 13 (d) 12
  18. 18.What is the mean of 7, 18, 13 and 18? (a) 16 (b) 13 (c) 15 (d) 14
  19. 19.What is the median of 19, 7, 11, 13, 21, 18 and 20? (a) 13 (b) 17 (c) 18 (d) 19
  20. 20.What is the mean of 14, 3, 5 and 6? (a) 6 (b) 9 (c) 7 (d) 8
  21. 21.The mean of 5 numbers is 16. When the number 28 is added to them, what is the new mean? (a) 16 (b) 19 (c) 18 (d) 22
  22. 22.What is the mean of 10, 3, 16, 2, 4 and 13? (a) 8 (b) 9 (c) 10 (d) 7
  23. 23.What is the median of 14, 4, 2, 6, 37, 32 and 3? (a) 14 (b) 6 (c) 4 (d) 7
  24. 24.What is the mode of 10, 18, 10, 18, 10, 2 and 8? (a) 10 (b) 2 (c) 18 (d) 8
  25. 25.What is the mode of 15, 15, 9, 8, 9, 15 and 3? (a) 3 (b) 15 (c) 9 (d) 8
  26. 26.The mean of 3 numbers is 21. When the number 5 is added to them, what is the new mean? (a) 21 (b) 13 (c) 18 (d) 17
  27. 27.What is the mean of 14, 4, 11, 4 and 7? (a) 9 (b) 7 (c) 8 (d) 10
  28. 28.What is the mean of 4, 4, 16, 6, 13 and 11? (a) 10 (b) 9 (c) 8 (d) 11
  29. 29.What is the mean of 7, 14, 18 and 13? (a) 15 (b) 13 (c) 12 (d) 14
  30. 30.What is the mode of 1, 4, 4, 20, 4, 9 and 1? (a) 20 (b) 1 (c) 9 (d) 4
  31. 31.What is the mode of 9, 20, 12, 9, 12, 9 and 6? (a) 6 (b) 9 (c) 20 (d) 12
  32. 32.What is the mode of 4, 3, 4, 3, 1, 3 and 8? (a) 1 (b) 4 (c) 3 (d) 8
  33. 33.The mean of 6 numbers is 27. When the number 6 is added to them, what is the new mean? (a) 25 (b) 27 (c) 23 (d) 24
  34. 34.What is the mean of 5, 3, 12, 10 and 15? (a) 10 (b) 8 (c) 11 (d) 9
  35. 35.What is the mean of 15, 3, 5, 15 and 12? (a) 9 (b) 11 (c) 10 (d) 12
  36. 36.What is the median of 17, 24, 16, 36 and 1? (a) 18 (b) 24 (c) 17 (d) 16
  37. 37.The mean of 3 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 21 (b) 24 (c) 20 (d) 16
  38. 38.What is the median of 36, 9, 39, 37, 34, 10 and 19? (a) 34 (b) 19 (c) 37 (d) 36
  39. 39.What is the mean of 6, 6, 2 and 18? (a) 7 (b) 9 (c) 10 (d) 8
  40. 40.What is the mean of 3, 8, 3 and 18? (a) 7 (b) 10 (c) 9 (d) 8

Answer key

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

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