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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 500 · 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 34, 28, 8, 12, 6, 35 and 13? (a) 12 (b) 14 (c) 28 (d) 13
  2. 2.What is the mean of 16, 5, 12, 13 and 14? (a) 15 (b) 12 (c) 13 (d) 10
  3. 3.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 26 (b) 30 (c) 31 (d) 40
  4. 4.What is the mode of 8, 18, 17, 17, 18, 18 and 6? (a) 18 (b) 17 (c) 6 (d) 8
  5. 5.What is the median of 5, 11, 28, 17 and 34? (a) 19 (b) 17 (c) 28 (d) 11
  6. 6.What is the median of 16, 19, 3, 36, 22, 7 and 24? (a) 22 (b) 16 (c) 36 (d) 19
  7. 7.What is the median of 3, 26, 38, 16 and 11? (a) 26 (b) 38 (c) 11 (d) 16
  8. 8.What is the mean of 15, 9, 11, 4 and 21? (a) 13 (b) 10 (c) 12 (d) 15
  9. 9.What is the median of 7, 23, 8, 19 and 10? (a) 19 (b) 10 (c) 11 (d) 8
  10. 10.What is the mode of 6, 7, 5, 1, 7, 6 and 6? (a) 5 (b) 7 (c) 1 (d) 6
  11. 11.What is the mode of 4, 2, 5, 4, 5, 15 and 4? (a) 5 (b) 2 (c) 15 (d) 4
  12. 12.What is the mean of 6, 9, 11, 15 and 19? (a) 12 (b) 13 (c) 10 (d) 15
  13. 13.What is the mean of 16, 7, 6, 7, 12 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  14. 14.What is the mode of 19, 7, 19, 19, 7, 15 and 13? (a) 13 (b) 15 (c) 19 (d) 7
  15. 15.What is the median of 35, 20, 22, 10 and 38? (a) 22 (b) 25 (c) 20 (d) 35
  16. 16.What is the mean of 6, 4, 6, 12, 12 and 8? (a) 7 (b) 10 (c) 8 (d) 9
  17. 17.What is the mean of 8, 15, 15 and 10? (a) 11 (b) 16 (c) 12 (d) 13
  18. 18.What is the mean of 14, 13, 15, 3 and 15? (a) 13 (b) 10 (c) 15 (d) 12
  19. 19.What is the median of 3, 12, 29, 23, 6, 36 and 10? (a) 23 (b) 12 (c) 10 (d) 17
  20. 20.What is the mean of 8, 8, 17, 2, 17 and 14? (a) 10 (b) 12 (c) 11 (d) 13
  21. 21.What is the median of 34, 37, 27, 40, 20, 5 and 7? (a) 34 (b) 40 (c) 20 (d) 27
  22. 22.The mean of 3 numbers is 13. When the number 17 is added to them, what is the new mean? (a) 15 (b) 14 (c) 13 (d) 16
  23. 23.What is the mean of 4, 16, 14, 8, 13 and 5? (a) 12 (b) 9 (c) 11 (d) 10
  24. 24.What is the median of 24, 7, 5, 26, 23, 38 and 12? (a) 24 (b) 12 (c) 23 (d) 26
  25. 25.What is the mean of 3, 11, 11, 16, 5 and 8? (a) 9 (b) 11 (c) 8 (d) 10
  26. 26.What is the median of 3, 36, 12, 13 and 5? (a) 11 (b) 12 (c) 5 (d) 13
  27. 27.The mean of 3 numbers is 10. When the number 22 is added to them, what is the new mean? (a) 14 (b) 13 (c) 10 (d) 16
  28. 28.The mean of 7 numbers is 36. When the number 20 is added to them, what is the new mean? (a) 34 (b) 36 (c) 28 (d) 35
  29. 29.What is the median of 17, 24, 4, 15 and 25? (a) 4 (b) 24 (c) 15 (d) 17
  30. 30.What is the median of 8, 2, 40, 30, 37, 32 and 29? (a) 32 (b) 31 (c) 29 (d) 30
  31. 31.What is the mean of 10, 9, 5, 12 and 4? (a) 7 (b) 10 (c) 9 (d) 8
  32. 32.What is the mean of 12, 5, 7, 2, 13 and 3? (a) 8 (b) 6 (c) 9 (d) 7
  33. 33.What is the median of 10, 9, 36, 27 and 34? (a) 36 (b) 27 (c) 10 (d) 34
  34. 34.The mean of 3 numbers is 36. When the number 28 is added to them, what is the new mean? (a) 36 (b) 32 (c) 35 (d) 34
  35. 35.What is the mode of 5, 9, 4, 9, 2, 2 and 2? (a) 9 (b) 5 (c) 2 (d) 4
  36. 36.What is the mode of 2, 14, 12, 2, 14, 7 and 14? (a) 7 (b) 2 (c) 12 (d) 14
  37. 37.What is the median of 24, 20, 31, 19, 15, 7 and 2? (a) 15 (b) 18 (c) 20 (d) 19
  38. 38.What is the median of 13, 26, 38, 11 and 23? (a) 23 (b) 26 (c) 13 (d) 38
  39. 39.What is the mode of 14, 5, 5, 14, 5, 16 and 1? (a) 5 (b) 1 (c) 16 (d) 14
  40. 40.The mean of 5 numbers is 17. When the number 11 is added to them, what is the new mean? (a) 15 (b) 14 (c) 16 (d) 17

Answer key

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

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