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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 133 · 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 mode of 19, 10, 14, 10, 12, 12 and 10? (a) 12 (b) 19 (c) 10 (d) 14
  2. 2.What is the median of 39, 28, 3, 24 and 27? (a) 3 (b) 28 (c) 24 (d) 27
  3. 3.What is the mode of 3, 2, 3, 18, 2, 2 and 5? (a) 5 (b) 18 (c) 2 (d) 3
  4. 4.What is the median of 32, 35, 26, 29 and 18? (a) 28 (b) 26 (c) 29 (d) 32
  5. 5.What is the mean of 15, 5, 3, 4, 3 and 12? (a) 8 (b) 6 (c) 7 (d) 9
  6. 6.The mean of 8 numbers is 29. When the number 20 is added to them, what is the new mean? (a) 29 (b) 28 (c) 27 (d) 30
  7. 7.What is the mean of 18, 3, 19 and 4? (a) 13 (b) 12 (c) 11 (d) 10
  8. 8.What is the mode of 3, 16, 10, 10, 10, 3 and 9? (a) 9 (b) 16 (c) 10 (d) 3
  9. 9.What is the median of 36, 10, 30, 3 and 13? (a) 14 (b) 30 (c) 13 (d) 10
  10. 10.What is the mode of 11, 12, 16, 11, 11, 16 and 7? (a) 7 (b) 16 (c) 12 (d) 11
  11. 11.What is the median of 33, 34, 21, 6, 7, 15 and 26? (a) 26 (b) 15 (c) 6 (d) 21
  12. 12.What is the mode of 4, 13, 13, 15, 16, 15 and 13? (a) 4 (b) 15 (c) 13 (d) 16
  13. 13.What is the median of 19, 21, 2, 33, 29, 23 and 22? (a) 33 (b) 22 (c) 21 (d) 23
  14. 14.What is the median of 8, 3, 10, 16 and 27? (a) 10 (b) 8 (c) 16 (d) 11
  15. 15.What is the mean of 5, 6, 17 and 12? (a) 11 (b) 10 (c) 8 (d) 9
  16. 16.What is the mean of 18, 3, 8 and 7? (a) 8 (b) 10 (c) 9 (d) 12
  17. 17.What is the mean of 10, 15, 4 and 3? (a) 9 (b) 8 (c) 7 (d) 10
  18. 18.The mean of 8 numbers is 13. When the number 4 is added to them, what is the new mean? (a) 14 (b) 13 (c) 12 (d) 11
  19. 19.The mean of 6 numbers is 13. When the number 6 is added to them, what is the new mean? (a) 12 (b) 13 (c) 14 (d) 11
  20. 20.What is the median of 30, 10, 35, 31 and 18? (a) 30 (b) 35 (c) 31 (d) 18
  21. 21.The mean of 9 numbers is 37. When the number 17 is added to them, what is the new mean? (a) 36 (b) 35 (c) 27 (d) 37
  22. 22.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 13 (b) 14 (c) 16 (d) 12
  23. 23.What is the median of 13, 35, 23, 29 and 5? (a) 29 (b) 13 (c) 21 (d) 23
  24. 24.The mean of 6 numbers is 38. When the number 10 is added to them, what is the new mean? (a) 38 (b) 24 (c) 35 (d) 34
  25. 25.The mean of 3 numbers is 16. When the number 8 is added to them, what is the new mean? (a) 12 (b) 16 (c) 14 (d) 15
  26. 26.The mean of 4 numbers is 39. When the number 34 is added to them, what is the new mean? (a) 38 (b) 39 (c) 37 (d) 40
  27. 27.What is the mean of 13, 3, 18, 9 and 17? (a) 13 (b) 12 (c) 15 (d) 10
  28. 28.What is the mode of 11, 11, 3, 1, 7, 11 and 7? (a) 1 (b) 3 (c) 11 (d) 7
  29. 29.The mean of 3 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 18 (b) 17 (c) 20 (d) 14
  30. 30.The mean of 8 numbers is 33. When the number 24 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 34
  31. 31.What is the mean of 18, 18, 4 and 8? (a) 16 (b) 12 (c) 11 (d) 13
  32. 32.What is the mean of 5, 4, 7 and 20? (a) 12 (b) 10 (c) 8 (d) 9
  33. 33.What is the median of 12, 22, 30, 20 and 40? (a) 22 (b) 23 (c) 30 (d) 20
  34. 34.The mean of 5 numbers is 11. When the number 17 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  35. 35.What is the mode of 1, 1, 20, 13, 12, 12 and 12? (a) 12 (b) 20 (c) 1 (d) 13
  36. 36.The mean of 5 numbers is 37. When the number 25 is added to them, what is the new mean? (a) 36 (b) 31 (c) 37 (d) 35
  37. 37.What is the median of 37, 35, 11, 26, 8, 33 and 5? (a) 11 (b) 33 (c) 27 (d) 26
  38. 38.What is the median of 35, 4, 15, 34 and 8? (a) 8 (b) 16 (c) 15 (d) 34
  39. 39.What is the mean of 9, 18, 15, 6, 3 and 9? (a) 10 (b) 11 (c) 9 (d) 12
  40. 40.What is the median of 21, 31, 39, 8 and 33? (a) 21 (b) 31 (c) 33 (d) 39

Answer key

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

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