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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 899 · 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.The mean of 8 numbers is 19. When the number 55 is added to them, what is the new mean? (a) 19 (b) 37 (c) 23 (d) 24
  2. 2.What is the mean of 3, 5, 10, 8 and 4? (a) 6 (b) 7 (c) 8 (d) 5
  3. 3.What is the median of 36, 18, 14, 27, 5, 8 and 6? (a) 27 (b) 8 (c) 18 (d) 14
  4. 4.What is the mean of 6, 20, 2 and 8? (a) 8 (b) 9 (c) 12 (d) 10
  5. 5.What is the mean of 6, 13, 5, 3 and 13? (a) 10 (b) 9 (c) 8 (d) 7
  6. 6.The mean of 4 numbers is 27. When the number 32 is added to them, what is the new mean? (a) 29 (b) 30 (c) 27 (d) 28
  7. 7.What is the median of 2, 5, 10, 12, 25, 9 and 38? (a) 11 (b) 12 (c) 9 (d) 10
  8. 8.The mean of 6 numbers is 16. When the number 44 is added to them, what is the new mean? (a) 20 (b) 16 (c) 30 (d) 21
  9. 9.What is the median of 26, 15, 1, 6 and 37? (a) 17 (b) 15 (c) 26 (d) 1
  10. 10.The mean of 5 numbers is 30. When the number 24 is added to them, what is the new mean? (a) 28 (b) 29 (c) 30 (d) 27
  11. 11.What is the mean of 14, 15, 4, 8, 19 and 12? (a) 13 (b) 14 (c) 12 (d) 11
  12. 12.What is the mode of 14, 8, 3, 8, 14, 16 and 14? (a) 3 (b) 14 (c) 8 (d) 16
  13. 13.What is the median of 25, 16, 39, 1 and 11? (a) 11 (b) 25 (c) 39 (d) 16
  14. 14.What is the mean of 4, 13, 15, 4, 5 and 13? (a) 10 (b) 9 (c) 11 (d) 8
  15. 15.What is the mode of 19, 18, 19, 11, 18, 19 and 12? (a) 18 (b) 11 (c) 19 (d) 12
  16. 16.What is the median of 8, 10, 27, 23 and 21? (a) 10 (b) 21 (c) 23 (d) 27
  17. 17.What is the mean of 7, 20, 4, 6 and 8? (a) 11 (b) 10 (c) 8 (d) 9
  18. 18.The mean of 5 numbers is 16. When the number 4 is added to them, what is the new mean? (a) 16 (b) 14 (c) 10 (d) 15
  19. 19.The mean of 3 numbers is 28. When the number 20 is added to them, what is the new mean? (a) 27 (b) 24 (c) 26 (d) 28
  20. 20.What is the mode of 7, 17, 3, 17, 17, 10 and 3? (a) 17 (b) 10 (c) 7 (d) 3
  21. 21.What is the mode of 8, 8, 8, 15, 15, 11 and 18? (a) 18 (b) 15 (c) 8 (d) 11
  22. 22.The mean of 3 numbers is 18. When the number 14 is added to them, what is the new mean? (a) 18 (b) 19 (c) 16 (d) 17
  23. 23.What is the mode of 6, 19, 5, 6, 19, 12 and 19? (a) 19 (b) 6 (c) 5 (d) 12
  24. 24.What is the median of 28, 14, 12, 1, 25, 30 and 7? (a) 14 (b) 12 (c) 1 (d) 25
  25. 25.What is the median of 21, 1, 3, 10, 16, 29 and 19? (a) 10 (b) 16 (c) 19 (d) 17
  26. 26.What is the median of 15, 28, 20, 24, 26, 22 and 27? (a) 24 (b) 25 (c) 22 (d) 26
  27. 27.What is the mean of 14, 15, 15, 6 and 20? (a) 14 (b) 13 (c) 16 (d) 15
  28. 28.What is the mode of 7, 6, 10, 15, 15, 6 and 6? (a) 15 (b) 10 (c) 7 (d) 6
  29. 29.What is the mean of 2, 15, 2 and 9? (a) 9 (b) 7 (c) 8 (d) 6
  30. 30.What is the mean of 9, 14, 5, 13 and 19? (a) 10 (b) 13 (c) 12 (d) 15
  31. 31.The mean of 4 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 14 (b) 11 (c) 16 (d) 15
  32. 32.What is the mean of 18, 5, 20 and 5? (a) 12 (b) 13 (c) 11 (d) 16
  33. 33.What is the mode of 14, 13, 12, 12, 16, 12 and 13? (a) 13 (b) 16 (c) 14 (d) 12
  34. 34.What is the mode of 19, 3, 19, 4, 3, 18 and 3? (a) 18 (b) 19 (c) 4 (d) 3
  35. 35.What is the median of 1, 12, 32, 4 and 33? (a) 4 (b) 13 (c) 12 (d) 32
  36. 36.What is the mode of 8, 8, 16, 8, 7, 16 and 18? (a) 16 (b) 18 (c) 8 (d) 7
  37. 37.What is the mean of 9, 5, 6 and 4? (a) 7 (b) 6 (c) 8 (d) 5
  38. 38.What is the median of 31, 3, 7, 30 and 17? (a) 18 (b) 30 (c) 17 (d) 7
  39. 39.What is the median of 24, 18, 35, 13, 14, 39 and 10? (a) 24 (b) 14 (c) 13 (d) 18
  40. 40.What is the mode of 4, 14, 14, 2, 17, 14 and 2? (a) 4 (b) 17 (c) 2 (d) 14

Answer key

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

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