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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 769 · 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 28, 11, 1, 20, 38, 34 and 17? (a) 20 (b) 28 (c) 17 (d) 21
  2. 2.What is the mean of 18, 16, 8, 6 and 7? (a) 12 (b) 11 (c) 10 (d) 13
  3. 3.The mean of 4 numbers is 10. When the number 15 is added to them, what is the new mean? (a) 13 (b) 11 (c) 10 (d) 12
  4. 4.The mean of 3 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 16 (b) 10 (c) 14 (d) 13
  5. 5.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 29
  6. 6.What is the median of 29, 1, 10, 25 and 8? (a) 25 (b) 10 (c) 8 (d) 11
  7. 7.What is the median of 28, 22, 9, 33 and 18? (a) 28 (b) 18 (c) 9 (d) 22
  8. 8.What is the median of 8, 10, 26, 6, 40, 22 and 32? (a) 26 (b) 6 (c) 10 (d) 22
  9. 9.What is the mean of 6, 15, 3 and 20? (a) 10 (b) 11 (c) 13 (d) 12
  10. 10.What is the median of 20, 25, 35, 21 and 24? (a) 35 (b) 21 (c) 25 (d) 24
  11. 11.What is the mean of 2, 2, 13, 4, 14 and 7? (a) 7 (b) 6 (c) 8 (d) 9
  12. 12.What is the mean of 6, 18, 2, 18 and 16? (a) 15 (b) 12 (c) 10 (d) 13
  13. 13.The mean of 8 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 22 (b) 31 (c) 29 (d) 30
  14. 14.What is the mean of 12, 5, 15 and 20? (a) 14 (b) 15 (c) 13 (d) 12
  15. 15.What is the median of 20, 3, 21, 1, 34, 39 and 14? (a) 21 (b) 20 (c) 14 (d) 1
  16. 16.What is the mean of 20, 14, 20, 12 and 19? (a) 17 (b) 19 (c) 16 (d) 18
  17. 17.What is the median of 27, 4, 6, 23, 21, 16 and 8? (a) 16 (b) 15 (c) 21 (d) 23
  18. 18.What is the mode of 2, 2, 3, 2, 1, 18 and 1? (a) 3 (b) 2 (c) 18 (d) 1
  19. 19.The mean of 3 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 36 (b) 40 (c) 32 (d) 37
  20. 20.The mean of 3 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 14 (b) 15 (c) 12 (d) 16
  21. 21.What is the mode of 12, 13, 6, 12, 3, 12 and 13? (a) 3 (b) 12 (c) 6 (d) 13
  22. 22.What is the mode of 19, 9, 19, 16, 16, 19 and 15? (a) 16 (b) 9 (c) 15 (d) 19
  23. 23.The mean of 4 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 28 (b) 23 (c) 18 (d) 22
  24. 24.What is the mean of 10, 15, 14, 4 and 7? (a) 12 (b) 10 (c) 11 (d) 9
  25. 25.What is the median of 31, 24, 40, 26, 28, 3 and 5? (a) 26 (b) 28 (c) 27 (d) 24
  26. 26.What is the median of 15, 1, 8, 13 and 32? (a) 8 (b) 13 (c) 14 (d) 15
  27. 27.What is the mode of 10, 15, 11, 7, 7, 10 and 7? (a) 11 (b) 10 (c) 7 (d) 15
  28. 28.What is the mode of 5, 5, 5, 7, 7, 17 and 2? (a) 7 (b) 5 (c) 17 (d) 2
  29. 29.What is the median of 11, 36, 33, 37, 38, 5 and 14? (a) 33 (b) 14 (c) 36 (d) 37
  30. 30.The mean of 4 numbers is 19. When the number 24 is added to them, what is the new mean? (a) 20 (b) 19 (c) 21 (d) 22
  31. 31.The mean of 9 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 21
  32. 32.What is the mean of 6, 14, 16 and 20? (a) 13 (b) 16 (c) 14 (d) 15
  33. 33.What is the median of 10, 22, 11, 1 and 6? (a) 9 (b) 11 (c) 6 (d) 10
  34. 34.What is the mode of 2, 19, 13, 2, 19, 6 and 2? (a) 13 (b) 2 (c) 19 (d) 6
  35. 35.What is the mode of 3, 3, 11, 16, 1, 16 and 16? (a) 11 (b) 3 (c) 1 (d) 16
  36. 36.What is the mean of 9, 3, 14, 20 and 19? (a) 15 (b) 13 (c) 14 (d) 12
  37. 37.What is the mode of 12, 19, 12, 11, 1, 12 and 11? (a) 19 (b) 11 (c) 12 (d) 1
  38. 38.What is the mode of 11, 6, 18, 5, 11, 11 and 5? (a) 11 (b) 5 (c) 18 (d) 6
  39. 39.The mean of 8 numbers is 12. When the number 30 is added to them, what is the new mean? (a) 14 (b) 15 (c) 12 (d) 21
  40. 40.What is the median of 21, 5, 40, 30, 1, 33 and 32? (a) 30 (b) 21 (c) 32 (d) 31

Answer key

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

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