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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 635 · 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 13, 2, 3, 5 and 22? (a) 11 (b) 8 (c) 10 (d) 9
  2. 2.What is the median of 20, 33, 24, 4 and 21? (a) 20 (b) 24 (c) 21 (d) 22
  3. 3.What is the mean of 9, 3, 2 and 22? (a) 12 (b) 8 (c) 9 (d) 10
  4. 4.What is the median of 3, 10, 33, 40 and 17? (a) 17 (b) 33 (c) 18 (d) 10
  5. 5.What is the mode of 10, 17, 12, 17, 12, 17 and 15? (a) 17 (b) 15 (c) 12 (d) 10
  6. 6.The mean of 5 numbers is 35. When the number 41 is added to them, what is the new mean? (a) 37 (b) 35 (c) 38 (d) 36
  7. 7.The mean of 3 numbers is 24. When the number 20 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 22
  8. 8.What is the mode of 17, 17, 20, 14, 17, 14 and 3? (a) 14 (b) 17 (c) 20 (d) 3
  9. 9.What is the median of 25, 24, 4, 23, 32, 36 and 29? (a) 29 (b) 25 (c) 23 (d) 24
  10. 10.What is the mode of 5, 5, 5, 14, 19, 12 and 19? (a) 14 (b) 5 (c) 19 (d) 12
  11. 11.What is the mode of 15, 20, 2, 20, 12, 2 and 2? (a) 20 (b) 15 (c) 12 (d) 2
  12. 12.The mean of 9 numbers is 19. When the number 29 is added to them, what is the new mean? (a) 19 (b) 24 (c) 20 (d) 21
  13. 13.The mean of 7 numbers is 13. When the number 29 is added to them, what is the new mean? (a) 16 (b) 13 (c) 15 (d) 21
  14. 14.What is the median of 11, 35, 4, 6 and 20? (a) 20 (b) 6 (c) 11 (d) 4
  15. 15.What is the mean of 3, 4, 18, 7 and 8? (a) 10 (b) 9 (c) 8 (d) 7
  16. 16.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 24 (b) 27 (c) 25 (d) 26
  17. 17.What is the mode of 7, 5, 4, 6, 6, 6 and 7? (a) 4 (b) 7 (c) 5 (d) 6
  18. 18.The mean of 3 numbers is 34. When the number 30 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 33
  19. 19.What is the mean of 12, 5, 14 and 9? (a) 8 (b) 11 (c) 10 (d) 9
  20. 20.The mean of 3 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 22 (b) 21 (c) 17 (d) 25
  21. 21.What is the median of 21, 33, 37, 20 and 10? (a) 33 (b) 37 (c) 21 (d) 20
  22. 22.What is the median of 2, 25, 26, 6, 24, 27 and 8? (a) 24 (b) 25 (c) 6 (d) 8
  23. 23.The mean of 8 numbers is 16. When the number 7 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  24. 24.What is the median of 15, 11, 30, 22 and 6? (a) 30 (b) 11 (c) 15 (d) 22
  25. 25.What is the mode of 14, 15, 19, 14, 14, 19 and 13? (a) 19 (b) 15 (c) 14 (d) 13
  26. 26.What is the median of 6, 22, 20, 13 and 11? (a) 13 (b) 11 (c) 20 (d) 14
  27. 27.What is the mean of 7, 19, 13, 3, 17 and 7? (a) 13 (b) 12 (c) 11 (d) 10
  28. 28.The mean of 8 numbers is 10. When the number 1 is added to them, what is the new mean? (a) 10 (b) 8 (c) 9 (d) 11
  29. 29.What is the median of 25, 9, 19, 10, 8, 30 and 38? (a) 19 (b) 10 (c) 20 (d) 25
  30. 30.What is the median of 34, 27, 8, 4 and 28? (a) 28 (b) 8 (c) 27 (d) 26
  31. 31.The mean of 5 numbers is 14. When the number 8 is added to them, what is the new mean? (a) 13 (b) 11 (c) 14 (d) 12
  32. 32.What is the median of 24, 10, 20, 37 and 6? (a) 24 (b) 20 (c) 10 (d) 21
  33. 33.What is the median of 10, 9, 12, 28, 1, 24 and 7? (a) 28 (b) 13 (c) 10 (d) 12
  34. 34.What is the median of 8, 28, 20, 13 and 9? (a) 20 (b) 13 (c) 9 (d) 14
  35. 35.What is the median of 35, 18, 40, 17 and 1? (a) 17 (b) 40 (c) 18 (d) 35
  36. 36.What is the mode of 3, 6, 3, 12, 12, 7 and 12? (a) 7 (b) 12 (c) 3 (d) 6
  37. 37.The mean of 7 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 13 (b) 14 (c) 10 (d) 22
  38. 38.What is the mode of 8, 15, 16, 15, 9, 15 and 9? (a) 15 (b) 16 (c) 9 (d) 8
  39. 39.What is the mode of 11, 7, 11, 6, 7, 14 and 11? (a) 7 (b) 11 (c) 6 (d) 14
  40. 40.The mean of 4 numbers is 21. When the number 31 is added to them, what is the new mean? (a) 21 (b) 23 (c) 26 (d) 24

Answer key

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

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