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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 526 · 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 mean of 16, 6, 11 and 15? (a) 11 (b) 16 (c) 12 (d) 13
  2. 2.What is the median of 13, 19, 30, 6, 28, 26 and 29? (a) 6 (b) 19 (c) 26 (d) 28
  3. 3.The mean of 4 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 21 (b) 16 (c) 19 (d) 18
  4. 4.What is the median of 26, 12, 5, 1, 3, 27 and 39? (a) 1 (b) 5 (c) 12 (d) 26
  5. 5.What is the mean of 8, 17, 7, 7 and 6? (a) 10 (b) 11 (c) 8 (d) 9
  6. 6.What is the mean of 18, 7, 3, 3, 12 and 23? (a) 10 (b) 12 (c) 11 (d) 13
  7. 7.The mean of 4 numbers is 25. When the number 40 is added to them, what is the new mean? (a) 29 (b) 25 (c) 28 (d) 27
  8. 8.What is the mean of 9, 18, 11, 7 and 15? (a) 13 (b) 15 (c) 12 (d) 10
  9. 9.What is the mean of 3, 17, 8, 5, 15 and 12? (a) 10 (b) 12 (c) 9 (d) 11
  10. 10.What is the median of 34, 19, 39, 36, 31, 4 and 6? (a) 34 (b) 19 (c) 31 (d) 36
  11. 11.What is the mean of 6, 13, 3, 11, 4 and 23? (a) 10 (b) 9 (c) 12 (d) 11
  12. 12.What is the mean of 18, 15, 18, 6 and 3? (a) 10 (b) 15 (c) 12 (d) 13
  13. 13.What is the mean of 12, 4, 16, 13 and 15? (a) 10 (b) 13 (c) 15 (d) 12
  14. 14.What is the mean of 2, 12, 2 and 12? (a) 6 (b) 7 (c) 8 (d) 9
  15. 15.The mean of 4 numbers is 14. When the number 19 is added to them, what is the new mean? (a) 15 (b) 17 (c) 16 (d) 14
  16. 16.What is the mean of 20, 9, 18, 14 and 19? (a) 15 (b) 17 (c) 20 (d) 16
  17. 17.What is the mode of 16, 16, 20, 20, 2, 12 and 20? (a) 12 (b) 20 (c) 16 (d) 2
  18. 18.What is the mode of 14, 10, 4, 4, 6, 4 and 6? (a) 10 (b) 14 (c) 4 (d) 6
  19. 19.What is the median of 35, 22, 8, 12, 3, 6 and 21? (a) 12 (b) 8 (c) 21 (d) 13
  20. 20.What is the median of 11, 33, 18, 4 and 12? (a) 11 (b) 13 (c) 12 (d) 18
  21. 21.What is the mean of 15, 17, 10, 6, 2 and 10? (a) 12 (b) 10 (c) 9 (d) 11
  22. 22.What is the median of 14, 11, 26, 8 and 5? (a) 26 (b) 11 (c) 8 (d) 14
  23. 23.The mean of 5 numbers is 39. When the number 51 is added to them, what is the new mean? (a) 45 (b) 42 (c) 41 (d) 39
  24. 24.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 23 (b) 14 (c) 22 (d) 24
  25. 25.What is the mode of 16, 2, 14, 13, 14, 2 and 14? (a) 2 (b) 16 (c) 13 (d) 14
  26. 26.What is the median of 25, 31, 37, 15 and 26? (a) 37 (b) 25 (c) 31 (d) 26
  27. 27.The mean of 3 numbers is 31. When the number 23 is added to them, what is the new mean? (a) 31 (b) 30 (c) 27 (d) 29
  28. 28.The mean of 8 numbers is 12. When the number 3 is added to them, what is the new mean? (a) 10 (b) 13 (c) 11 (d) 12
  29. 29.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 18 (b) 13 (c) 15 (d) 16
  30. 30.What is the mean of 7, 7, 12 and 10? (a) 12 (b) 9 (c) 10 (d) 8
  31. 31.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 30 (b) 28 (c) 31 (d) 38
  32. 32.What is the mean of 8, 10, 15, 16 and 6? (a) 12 (b) 11 (c) 10 (d) 13
  33. 33.What is the mode of 10, 12, 12, 5, 10, 10 and 16? (a) 5 (b) 16 (c) 12 (d) 10
  34. 34.The mean of 5 numbers is 19. When the number 13 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 16
  35. 35.What is the mean of 16, 18, 3, 20, 2 and 19? (a) 12 (b) 13 (c) 15 (d) 14
  36. 36.What is the mean of 9, 17, 19 and 23? (a) 19 (b) 16 (c) 18 (d) 17
  37. 37.The mean of 3 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 9 (b) 12 (c) 11 (d) 13
  38. 38.What is the median of 2, 26, 1, 10, 35, 5 and 38? (a) 5 (b) 10 (c) 26 (d) 11
  39. 39.What is the median of 10, 12, 16, 18 and 22? (a) 18 (b) 12 (c) 17 (d) 16
  40. 40.What is the median of 11, 29, 12, 26 and 30? (a) 27 (b) 29 (c) 26 (d) 12

Answer key

  1. 12
  2. 26
  3. 18
  4. 12
  5. 9
  6. 11
  7. 28
  8. 12
  9. 10
  10. 31
  11. 10
  12. 12
  13. 12
  14. 7
  15. 15
  16. 16
  17. 20
  18. 4
  19. 12
  20. 12
  21. 10
  22. 11
  23. 41
  24. 22
  25. 14
  26. 26
  27. 29
  28. 11
  29. 15
  30. 9
  31. 30
  32. 11
  33. 10
  34. 18
  35. 13
  36. 17
  37. 11
  38. 10
  39. 16
  40. 26

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