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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 593 · 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 13, 13, 6, 17, 8, 17 and 13? (a) 8 (b) 13 (c) 17 (d) 6
  2. 2.What is the median of 1, 38, 30, 40 and 34? (a) 30 (b) 38 (c) 35 (d) 34
  3. 3.What is the mean of 18, 8, 15, 17, 13 and 13? (a) 14 (b) 13 (c) 15 (d) 12
  4. 4.What is the median of 20, 17, 27, 16, 32, 38 and 26? (a) 26 (b) 16 (c) 27 (d) 20
  5. 5.What is the mean of 18, 16, 19, 16 and 21? (a) 15 (b) 18 (c) 17 (d) 19
  6. 6.What is the mean of 12, 5, 4, 7 and 22? (a) 12 (b) 9 (c) 11 (d) 10
  7. 7.What is the mean of 19, 15, 17 and 17? (a) 19 (b) 16 (c) 18 (d) 17
  8. 8.What is the mode of 20, 7, 20, 19, 7, 7 and 12? (a) 20 (b) 7 (c) 19 (d) 12
  9. 9.What is the mean of 5, 16, 12 and 3? (a) 10 (b) 9 (c) 12 (d) 8
  10. 10.What is the mean of 11, 4, 12, 14, 11 and 14? (a) 12 (b) 10 (c) 11 (d) 13
  11. 11.What is the mode of 8, 19, 6, 14, 19, 6 and 19? (a) 6 (b) 14 (c) 8 (d) 19
  12. 12.What is the mode of 4, 4, 9, 3, 3, 5 and 3? (a) 4 (b) 9 (c) 5 (d) 3
  13. 13.The mean of 9 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 13 (c) 14 (d) 15
  14. 14.The mean of 4 numbers is 22. When the number 12 is added to them, what is the new mean? (a) 20 (b) 21 (c) 22 (d) 17
  15. 15.What is the median of 39, 38, 2, 9, 32, 7 and 12? (a) 12 (b) 13 (c) 9 (d) 32
  16. 16.The mean of 5 numbers is 25. When the number 43 is added to them, what is the new mean? (a) 25 (b) 34 (c) 28 (d) 29
  17. 17.What is the mode of 16, 6, 6, 9, 7, 7 and 7? (a) 9 (b) 16 (c) 7 (d) 6
  18. 18.The mean of 3 numbers is 27. When the number 43 is added to them, what is the new mean? (a) 31 (b) 27 (c) 35 (d) 32
  19. 19.What is the mode of 17, 13, 18, 13, 16, 18 and 13? (a) 16 (b) 13 (c) 17 (d) 18
  20. 20.What is the median of 15, 37, 1, 39 and 10? (a) 10 (b) 37 (c) 15 (d) 1
  21. 21.What is the median of 15, 4, 14, 28 and 3? (a) 4 (b) 15 (c) 13 (d) 14
  22. 22.The mean of 4 numbers is 32. When the number 12 is added to them, what is the new mean? (a) 29 (b) 22 (c) 32 (d) 28
  23. 23.What is the mean of 12, 20, 20 and 20? (a) 24 (b) 19 (c) 18 (d) 17
  24. 24.What is the mean of 5, 20, 6, 16 and 18? (a) 14 (b) 15 (c) 12 (d) 13
  25. 25.What is the mean of 2, 4, 2, 10 and 7? (a) 7 (b) 6 (c) 4 (d) 5
  26. 26.What is the mode of 19, 1, 2, 1, 7, 1 and 19? (a) 1 (b) 19 (c) 2 (d) 7
  27. 27.What is the mean of 3, 2, 17, 11, 2 and 25? (a) 9 (b) 11 (c) 12 (d) 10
  28. 28.What is the median of 11, 20, 13, 23 and 26? (a) 21 (b) 23 (c) 20 (d) 13
  29. 29.What is the mean of 5, 5, 19 and 7? (a) 12 (b) 10 (c) 8 (d) 9
  30. 30.What is the mode of 7, 11, 7, 14, 7, 10 and 10? (a) 10 (b) 11 (c) 14 (d) 7
  31. 31.What is the median of 34, 22, 15, 25 and 26? (a) 25 (b) 15 (c) 26 (d) 22
  32. 32.What is the mode of 12, 7, 16, 11, 16, 11 and 11? (a) 12 (b) 11 (c) 16 (d) 7
  33. 33.What is the mode of 19, 4, 19, 3, 19, 7 and 3? (a) 19 (b) 3 (c) 4 (d) 7
  34. 34.What is the mean of 11, 10, 5 and 10? (a) 12 (b) 10 (c) 8 (d) 9
  35. 35.What is the mode of 15, 17, 14, 15, 8, 14 and 15? (a) 17 (b) 8 (c) 14 (d) 15
  36. 36.What is the median of 2, 20, 23, 13, 9, 17 and 10? (a) 17 (b) 10 (c) 14 (d) 13
  37. 37.What is the median of 19, 16, 25, 28 and 23? (a) 25 (b) 24 (c) 23 (d) 19
  38. 38.What is the median of 13, 7, 32, 37, 34, 6 and 1? (a) 32 (b) 7 (c) 13 (d) 37
  39. 39.What is the mean of 12, 7, 3, 17 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  40. 40.What is the mode of 12, 13, 11, 13, 8, 8 and 8? (a) 8 (b) 11 (c) 12 (d) 13

Answer key

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

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