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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 894 · 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 8, 3, 2 and 19? (a) 9 (b) 10 (c) 8 (d) 7
  2. 2.What is the mean of 3, 13, 12 and 20? (a) 16 (b) 11 (c) 13 (d) 12
  3. 3.What is the median of 3, 16, 11, 34 and 12? (a) 13 (b) 12 (c) 16 (d) 11
  4. 4.What is the median of 12, 26, 18, 23 and 29? (a) 18 (b) 23 (c) 24 (d) 26
  5. 5.What is the mean of 15, 19, 12, 6, 14 and 18? (a) 12 (b) 13 (c) 15 (d) 14
  6. 6.What is the mean of 16, 20, 5, 17 and 12? (a) 15 (b) 13 (c) 14 (d) 16
  7. 7.What is the mean of 2, 6, 20, 10, 6 and 16? (a) 10 (b) 11 (c) 9 (d) 12
  8. 8.What is the mean of 11, 8, 6, 15 and 5? (a) 10 (b) 11 (c) 9 (d) 8
  9. 9.What is the mode of 2, 6, 2, 10, 6, 2 and 20? (a) 20 (b) 10 (c) 6 (d) 2
  10. 10.What is the mode of 14, 4, 19, 4, 14, 7 and 4? (a) 4 (b) 14 (c) 7 (d) 19
  11. 11.What is the median of 18, 15, 21, 30, 2, 4 and 38? (a) 15 (b) 21 (c) 18 (d) 30
  12. 12.What is the mode of 9, 2, 9, 12, 2, 2 and 14? (a) 2 (b) 14 (c) 9 (d) 12
  13. 13.The mean of 4 numbers is 11. When the number 31 is added to them, what is the new mean? (a) 21 (b) 15 (c) 16 (d) 11
  14. 14.What is the mean of 17, 15, 14, 8, 11 and 7? (a) 14 (b) 13 (c) 12 (d) 11
  15. 15.What is the median of 12, 21, 7, 36, 14, 34 and 10? (a) 14 (b) 21 (c) 36 (d) 12
  16. 16.The mean of 7 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 22 (b) 24 (c) 23 (d) 26
  17. 17.The mean of 5 numbers is 15. When the number 39 is added to them, what is the new mean? (a) 20 (b) 15 (c) 27 (d) 19
  18. 18.What is the mode of 13, 3, 20, 3, 13, 12 and 3? (a) 13 (b) 20 (c) 3 (d) 12
  19. 19.The mean of 6 numbers is 39. When the number 46 is added to them, what is the new mean? (a) 40 (b) 42 (c) 39 (d) 41
  20. 20.What is the mean of 11, 4, 20 and 17? (a) 14 (b) 13 (c) 12 (d) 15
  21. 21.What is the mode of 3, 10, 16, 3, 1, 3 and 1? (a) 1 (b) 16 (c) 10 (d) 3
  22. 22.The mean of 5 numbers is 20. When the number 14 is added to them, what is the new mean? (a) 18 (b) 20 (c) 19 (d) 17
  23. 23.What is the mean of 10, 20, 12, 2, 11 and 17? (a) 11 (b) 12 (c) 14 (d) 13
  24. 24.The mean of 3 numbers is 36. When the number 32 is added to them, what is the new mean? (a) 36 (b) 37 (c) 34 (d) 35
  25. 25.What is the mode of 4, 15, 2, 4, 4, 17 and 17? (a) 4 (b) 17 (c) 15 (d) 2
  26. 26.What is the mean of 11, 16, 13 and 20? (a) 16 (b) 15 (c) 12 (d) 20
  27. 27.What is the median of 12, 2, 26, 34 and 21? (a) 19 (b) 12 (c) 21 (d) 26
  28. 28.What is the mode of 3, 8, 3, 3, 2, 2 and 11? (a) 8 (b) 11 (c) 3 (d) 2
  29. 29.What is the median of 20, 12, 3, 7 and 19? (a) 7 (b) 12 (c) 19 (d) 3
  30. 30.The mean of 4 numbers is 30. When the number 15 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 30
  31. 31.What is the mean of 5, 11, 16 and 20? (a) 12 (b) 13 (c) 14 (d) 15
  32. 32.What is the median of 8, 13, 18, 17, 31, 35 and 11? (a) 18 (b) 13 (c) 19 (d) 17
  33. 33.What is the mode of 15, 5, 18, 18, 15, 2 and 18? (a) 18 (b) 15 (c) 2 (d) 5
  34. 34.What is the median of 8, 9, 1, 36, 19, 3 and 11? (a) 36 (b) 8 (c) 9 (d) 11
  35. 35.What is the median of 15, 39, 14, 9 and 23? (a) 14 (b) 15 (c) 23 (d) 20
  36. 36.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 16
  37. 37.What is the mode of 4, 13, 4, 13, 5, 2 and 13? (a) 5 (b) 2 (c) 4 (d) 13
  38. 38.What is the median of 28, 36, 2, 12, 35, 11 and 31? (a) 28 (b) 29 (c) 31 (d) 12
  39. 39.The mean of 9 numbers is 30. When the number 10 is added to them, what is the new mean? (a) 20 (b) 28 (c) 29 (d) 30
  40. 40.What is the mean of 11, 15, 7, 7 and 5? (a) 9 (b) 11 (c) 8 (d) 10

Answer key

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

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