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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 850 · 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 6, 13, 15, 18, 13 and 13? (a) 13 (b) 14 (c) 15 (d) 12
  2. 2.What is the median of 21, 4, 11, 24, 2, 16 and 32? (a) 11 (b) 21 (c) 24 (d) 16
  3. 3.What is the mean of 13, 16, 10 and 9? (a) 13 (b) 11 (c) 12 (d) 16
  4. 4.What is the median of 5, 32, 19, 7 and 40? (a) 32 (b) 20 (c) 19 (d) 7
  5. 5.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 10 (b) 13 (c) 11 (d) 12
  6. 6.What is the mode of 2, 17, 9, 17, 12, 2 and 2? (a) 17 (b) 2 (c) 9 (d) 12
  7. 7.What is the mean of 19, 12, 4, 10, 2 and 7? (a) 11 (b) 8 (c) 9 (d) 10
  8. 8.What is the median of 9, 20, 11, 4, 10, 8 and 2? (a) 4 (b) 10 (c) 8 (d) 9
  9. 9.What is the mode of 18, 2, 15, 14, 18, 15 and 18? (a) 15 (b) 14 (c) 2 (d) 18
  10. 10.The mean of 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 28 (b) 27 (c) 30 (d) 18
  11. 11.What is the mean of 3, 3, 15 and 11? (a) 10 (b) 7 (c) 8 (d) 9
  12. 12.What is the mode of 3, 3, 19, 10, 3, 7 and 19? (a) 19 (b) 10 (c) 7 (d) 3
  13. 13.What is the mode of 15, 16, 6, 10, 15, 10 and 10? (a) 15 (b) 16 (c) 10 (d) 6
  14. 14.What is the median of 18, 12, 29, 4, 14, 26 and 30? (a) 4 (b) 26 (c) 18 (d) 19
  15. 15.What is the mean of 17, 10, 20 and 9? (a) 16 (b) 13 (c) 14 (d) 15
  16. 16.What is the median of 4, 12, 20, 39 and 3? (a) 13 (b) 20 (c) 4 (d) 12
  17. 17.What is the median of 1, 31, 15, 11 and 13? (a) 13 (b) 15 (c) 14 (d) 11
  18. 18.What is the mode of 4, 3, 3, 3, 4, 19 and 20? (a) 19 (b) 4 (c) 20 (d) 3
  19. 19.What is the mean of 8, 4, 11, 2 and 10? (a) 8 (b) 9 (c) 6 (d) 7
  20. 20.What is the mean of 13, 9, 9 and 21? (a) 12 (b) 13 (c) 15 (d) 14
  21. 21.What is the mode of 17, 17, 20, 6, 6, 16 and 17? (a) 16 (b) 6 (c) 17 (d) 20
  22. 22.What is the median of 34, 9, 20, 17 and 35? (a) 20 (b) 23 (c) 17 (d) 34
  23. 23.What is the mean of 4, 19, 17, 13 and 7? (a) 15 (b) 10 (c) 13 (d) 12
  24. 24.The mean of 6 numbers is 36. When the number 43 is added to them, what is the new mean? (a) 36 (b) 39 (c) 37 (d) 38
  25. 25.What is the mean of 18, 5, 7, 20 and 20? (a) 13 (b) 16 (c) 15 (d) 14
  26. 26.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 10 (b) 13 (c) 11 (d) 12
  27. 27.The mean of 6 numbers is 25. When the number 39 is added to them, what is the new mean? (a) 27 (b) 28 (c) 32 (d) 25
  28. 28.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 15 (b) 24 (c) 14 (d) 10
  29. 29.The mean of 3 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 14 (b) 16 (c) 13 (d) 10
  30. 30.The mean of 5 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 43 (b) 39 (c) 48 (d) 42
  31. 31.The mean of 6 numbers is 16. When the number 2 is added to them, what is the new mean? (a) 9 (b) 16 (c) 15 (d) 14
  32. 32.What is the mode of 8, 4, 4, 1, 1, 4 and 12? (a) 1 (b) 4 (c) 12 (d) 8
  33. 33.What is the median of 33, 8, 40, 34 and 2? (a) 40 (b) 8 (c) 33 (d) 34
  34. 34.What is the mean of 17, 5, 17 and 17? (a) 13 (b) 14 (c) 15 (d) 16
  35. 35.What is the mode of 4, 20, 14, 20, 16, 20 and 4? (a) 4 (b) 14 (c) 20 (d) 16
  36. 36.What is the mode of 9, 13, 9, 10, 13, 13 and 19? (a) 10 (b) 13 (c) 9 (d) 19
  37. 37.What is the median of 2, 27, 32, 29, 9, 39 and 26? (a) 28 (b) 26 (c) 29 (d) 27
  38. 38.What is the median of 38, 14, 4, 26, 35, 7 and 33? (a) 27 (b) 26 (c) 14 (d) 33
  39. 39.What is the mean of 4, 20, 20 and 4? (a) 16 (b) 13 (c) 11 (d) 12
  40. 40.What is the mean of 19, 16, 4 and 5? (a) 11 (b) 13 (c) 10 (d) 12

Answer key

  1. 13
  2. 16
  3. 12
  4. 19
  5. 12
  6. 2
  7. 9
  8. 9
  9. 18
  10. 27
  11. 8
  12. 3
  13. 10
  14. 18
  15. 14
  16. 12
  17. 13
  18. 3
  19. 7
  20. 13
  21. 17
  22. 20
  23. 12
  24. 37
  25. 14
  26. 11
  27. 27
  28. 14
  29. 13
  30. 42
  31. 14
  32. 4
  33. 33
  34. 14
  35. 20
  36. 13
  37. 27
  38. 26
  39. 12
  40. 11

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