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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 121 · 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 15, 17, 32, 1 and 27? (a) 32 (b) 17 (c) 15 (d) 27
  2. 2.What is the median of 39, 24, 38, 13 and 10? (a) 38 (b) 25 (c) 13 (d) 24
  3. 3.What is the mean of 5, 3, 10, 10 and 17? (a) 11 (b) 8 (c) 9 (d) 10
  4. 4.What is the mean of 13, 19, 4, 13 and 16? (a) 12 (b) 13 (c) 15 (d) 14
  5. 5.What is the mean of 18, 9, 6 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  6. 6.What is the mode of 15, 15, 10, 9, 19, 19 and 19? (a) 10 (b) 15 (c) 9 (d) 19
  7. 7.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 22 (b) 21 (c) 20 (d) 19
  8. 8.What is the median of 18, 17, 36, 37, 31, 39 and 8? (a) 31 (b) 18 (c) 36 (d) 37
  9. 9.What is the mode of 2, 10, 10, 9, 13, 10 and 2? (a) 9 (b) 10 (c) 2 (d) 13
  10. 10.What is the mean of 15, 19, 2, 12 and 12? (a) 13 (b) 15 (c) 10 (d) 12
  11. 11.What is the median of 13, 36, 26, 1, 16, 14 and 15? (a) 16 (b) 14 (c) 1 (d) 15
  12. 12.What is the mean of 14, 5, 15, 16, 3 and 19? (a) 11 (b) 14 (c) 12 (d) 13
  13. 13.What is the mode of 2, 11, 11, 3, 15, 2 and 11? (a) 2 (b) 3 (c) 11 (d) 15
  14. 14.What is the median of 40, 21, 13, 19, 6, 15 and 16? (a) 16 (b) 17 (c) 19 (d) 15
  15. 15.The mean of 9 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 21 (b) 22 (c) 19 (d) 29
  16. 16.What is the mode of 4, 12, 1, 1, 9, 1 and 9? (a) 1 (b) 12 (c) 4 (d) 9
  17. 17.What is the median of 40, 7, 4, 3, 2, 37 and 23? (a) 23 (b) 3 (c) 4 (d) 7
  18. 18.What is the mode of 16, 19, 16, 19, 14, 16 and 12? (a) 16 (b) 12 (c) 19 (d) 14
  19. 19.What is the mean of 6, 3, 9, 16 and 16? (a) 12 (b) 11 (c) 9 (d) 10
  20. 20.The mean of 8 numbers is 32. When the number 50 is added to them, what is the new mean? (a) 35 (b) 32 (c) 34 (d) 41
  21. 21.What is the mode of 4, 4, 12, 5, 8, 4 and 5? (a) 5 (b) 12 (c) 8 (d) 4
  22. 22.What is the median of 4, 3, 27, 6 and 1? (a) 3 (b) 4 (c) 6 (d) 27
  23. 23.What is the mode of 20, 18, 13, 13, 15, 13 and 15? (a) 18 (b) 20 (c) 13 (d) 15
  24. 24.What is the mode of 6, 4, 13, 13, 13, 4 and 20? (a) 20 (b) 13 (c) 4 (d) 6
  25. 25.What is the median of 12, 15, 26, 32 and 1? (a) 26 (b) 12 (c) 16 (d) 15
  26. 26.What is the median of 17, 18, 8, 4, 21, 5 and 24? (a) 8 (b) 18 (c) 17 (d) 4
  27. 27.What is the median of 21, 12, 1, 27, 40, 6 and 39? (a) 27 (b) 22 (c) 21 (d) 12
  28. 28.The mean of 4 numbers is 17. When the number 12 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 15
  29. 29.What is the mean of 18, 20, 10 and 8? (a) 15 (b) 14 (c) 16 (d) 13
  30. 30.What is the mean of 18, 8, 12 and 10? (a) 16 (b) 13 (c) 12 (d) 11
  31. 31.What is the mode of 17, 3, 14, 14, 3, 14 and 6? (a) 6 (b) 17 (c) 14 (d) 3
  32. 32.What is the median of 2, 14, 5, 23 and 3? (a) 5 (b) 3 (c) 14 (d) 6
  33. 33.The mean of 5 numbers is 23. When the number 17 is added to them, what is the new mean? (a) 20 (b) 23 (c) 21 (d) 22
  34. 34.What is the median of 18, 5, 12, 24, 30, 25 and 7? (a) 18 (b) 12 (c) 19 (d) 24
  35. 35.What is the mean of 20, 4, 3, 13, 2 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  36. 36.What is the median of 33, 2, 27, 40, 24, 28 and 12? (a) 24 (b) 28 (c) 40 (d) 27
  37. 37.What is the mean of 6, 13, 3, 13, 9 and 4? (a) 7 (b) 10 (c) 8 (d) 9
  38. 38.What is the mean of 20, 10, 20 and 18? (a) 17 (b) 16 (c) 18 (d) 19
  39. 39.What is the mode of 7, 7, 7, 15, 13, 15 and 6? (a) 15 (b) 13 (c) 6 (d) 7
  40. 40.What is the median of 2, 34, 16, 3 and 23? (a) 3 (b) 16 (c) 23 (d) 17

Answer key

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

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