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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 398 · 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 3, 12, 3, 10, 5 and 3? (a) 6 (b) 8 (c) 5 (d) 7
  2. 2.What is the mean of 6, 19, 19, 13, 4 and 11? (a) 12 (b) 13 (c) 14 (d) 11
  3. 3.What is the mean of 13, 20, 7, 14, 8 and 10? (a) 13 (b) 11 (c) 14 (d) 12
  4. 4.What is the mode of 18, 7, 5, 16, 18, 18 and 7? (a) 18 (b) 7 (c) 16 (d) 5
  5. 5.The mean of 5 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 34 (b) 35 (c) 32 (d) 38
  6. 6.What is the mean of 14, 5, 6, 6, 20 and 21? (a) 12 (b) 11 (c) 14 (d) 13
  7. 7.What is the mean of 8, 20, 11, 10 and 6? (a) 12 (b) 13 (c) 11 (d) 10
  8. 8.What is the median of 24, 34, 18, 1, 33, 29 and 30? (a) 1 (b) 29 (c) 24 (d) 30
  9. 9.The mean of 9 numbers is 27. When the number 57 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 42
  10. 10.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 14 (b) 13 (c) 11 (d) 12
  11. 11.What is the mean of 8, 2, 2, 11, 20 and 11? (a) 8 (b) 11 (c) 10 (d) 9
  12. 12.What is the mode of 16, 16, 6, 16, 13, 14 and 6? (a) 14 (b) 16 (c) 6 (d) 13
  13. 13.What is the mode of 11, 11, 19, 19, 11, 5 and 12? (a) 5 (b) 12 (c) 11 (d) 19
  14. 14.What is the mean of 5, 13, 20, 12 and 5? (a) 12 (b) 10 (c) 13 (d) 11
  15. 15.The mean of 6 numbers is 24. When the number 3 is added to them, what is the new mean? (a) 22 (b) 24 (c) 20 (d) 21
  16. 16.What is the median of 35, 13, 28, 33 and 26? (a) 33 (b) 28 (c) 27 (d) 26
  17. 17.What is the mean of 20, 14, 5 and 17? (a) 13 (b) 16 (c) 15 (d) 14
  18. 18.What is the mode of 1, 15, 3, 3, 10, 3 and 15? (a) 10 (b) 1 (c) 3 (d) 15
  19. 19.What is the mean of 3, 7, 14, 20, 19 and 21? (a) 13 (b) 15 (c) 12 (d) 14
  20. 20.The mean of 8 numbers is 15. When the number 6 is added to them, what is the new mean? (a) 15 (b) 16 (c) 13 (d) 14
  21. 21.What is the mean of 10, 15, 14, 3 and 23? (a) 13 (b) 15 (c) 14 (d) 12
  22. 22.The mean of 8 numbers is 13. When the number 22 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 16
  23. 23.What is the mode of 17, 18, 17, 18, 3, 12 and 17? (a) 18 (b) 12 (c) 3 (d) 17
  24. 24.The mean of 8 numbers is 32. When the number 5 is added to them, what is the new mean? (a) 32 (b) 30 (c) 29 (d) 28
  25. 25.What is the median of 40, 2, 21, 27, 35, 5 and 18? (a) 18 (b) 21 (c) 22 (d) 27
  26. 26.What is the median of 30, 35, 22, 7 and 39? (a) 30 (b) 35 (c) 22 (d) 31
  27. 27.The mean of 8 numbers is 16. When the number 34 is added to them, what is the new mean? (a) 18 (b) 19 (c) 25 (d) 16
  28. 28.The mean of 9 numbers is 10. When the number 40 is added to them, what is the new mean? (a) 10 (b) 14 (c) 25 (d) 13
  29. 29.The mean of 4 numbers is 24. When the number 19 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 22
  30. 30.What is the mode of 11, 11, 4, 6, 4, 5 and 11? (a) 6 (b) 11 (c) 5 (d) 4
  31. 31.What is the mean of 9, 9, 11, 20, 14 and 9? (a) 12 (b) 13 (c) 11 (d) 14
  32. 32.The mean of 4 numbers is 21. When the number 26 is added to them, what is the new mean? (a) 23 (b) 24 (c) 22 (d) 21
  33. 33.What is the mean of 3, 11, 15, 19, 12 and 12? (a) 14 (b) 11 (c) 12 (d) 13
  34. 34.What is the median of 16, 10, 21, 39, 2, 7 and 11? (a) 16 (b) 10 (c) 39 (d) 11
  35. 35.What is the mean of 9, 16, 19 and 12? (a) 16 (b) 15 (c) 14 (d) 13
  36. 36.The mean of 5 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 18 (b) 27 (c) 21 (d) 22
  37. 37.What is the mean of 3, 9, 2 and 18? (a) 7 (b) 9 (c) 8 (d) 10
  38. 38.What is the mean of 6, 8, 6, 6, 11 and 5? (a) 7 (b) 9 (c) 6 (d) 8
  39. 39.What is the mean of 9, 17, 5, 10 and 14? (a) 10 (b) 11 (c) 12 (d) 13
  40. 40.What is the median of 22, 32, 20, 34 and 11? (a) 22 (b) 23 (c) 32 (d) 20

Answer key

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

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