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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 66 · 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 14, 11, 20, 12, 7 and 8? (a) 13 (b) 14 (c) 12 (d) 11
  2. 2.The mean of 7 numbers is 38. When the number 14 is added to them, what is the new mean? (a) 36 (b) 35 (c) 26 (d) 38
  3. 3.What is the median of 27, 32, 36, 13, 19, 37 and 8? (a) 32 (b) 13 (c) 19 (d) 27
  4. 4.What is the mode of 14, 14, 8, 2, 14, 8 and 7? (a) 8 (b) 2 (c) 7 (d) 14
  5. 5.What is the median of 11, 25, 13, 35, 24, 12 and 15? (a) 15 (b) 13 (c) 24 (d) 35
  6. 6.The mean of 9 numbers is 32. When the number 2 is added to them, what is the new mean? (a) 30 (b) 32 (c) 17 (d) 29
  7. 7.What is the mode of 3, 5, 3, 14, 4, 4 and 4? (a) 5 (b) 3 (c) 14 (d) 4
  8. 8.What is the median of 36, 12, 8, 9, 18, 15 and 10? (a) 9 (b) 10 (c) 12 (d) 15
  9. 9.What is the median of 16, 1, 35, 4 and 8? (a) 8 (b) 35 (c) 16 (d) 4
  10. 10.What is the mean of 7, 18, 13, 6, 12 and 10? (a) 10 (b) 13 (c) 12 (d) 11
  11. 11.What is the median of 21, 9, 20, 14, 27, 15 and 28? (a) 21 (b) 14 (c) 15 (d) 20
  12. 12.The mean of 4 numbers is 21. When the number 31 is added to them, what is the new mean? (a) 21 (b) 26 (c) 23 (d) 24
  13. 13.What is the median of 4, 38, 16, 22, 31, 23 and 26? (a) 24 (b) 22 (c) 23 (d) 26
  14. 14.What is the mean of 16, 4, 2, 15 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  15. 15.What is the median of 13, 10, 12, 1 and 6? (a) 12 (b) 11 (c) 6 (d) 10
  16. 16.What is the median of 31, 11, 34, 3 and 7? (a) 7 (b) 34 (c) 11 (d) 31
  17. 17.What is the mean of 9, 2, 17, 16 and 16? (a) 13 (b) 15 (c) 12 (d) 10
  18. 18.What is the mean of 13, 5, 20 and 18? (a) 14 (b) 16 (c) 15 (d) 13
  19. 19.What is the median of 27, 8, 7, 5, 20, 18 and 3? (a) 18 (b) 8 (c) 5 (d) 7
  20. 20.What is the mode of 7, 7, 6, 13, 7, 14 and 6? (a) 7 (b) 6 (c) 13 (d) 14
  21. 21.What is the mean of 5, 16, 3 and 12? (a) 8 (b) 10 (c) 9 (d) 12
  22. 22.What is the mean of 16, 14, 16 and 6? (a) 14 (b) 13 (c) 12 (d) 15
  23. 23.The mean of 7 numbers is 18. When the number 10 is added to them, what is the new mean? (a) 17 (b) 18 (c) 14 (d) 16
  24. 24.What is the median of 10, 29, 30, 18 and 20? (a) 30 (b) 29 (c) 18 (d) 20
  25. 25.The mean of 4 numbers is 40. When the number 30 is added to them, what is the new mean? (a) 40 (b) 35 (c) 39 (d) 38
  26. 26.What is the mean of 14, 5, 8 and 5? (a) 7 (b) 10 (c) 9 (d) 8
  27. 27.What is the mean of 6, 11, 13 and 6? (a) 10 (b) 12 (c) 9 (d) 8
  28. 28.What is the median of 2, 8, 18, 23 and 3? (a) 3 (b) 8 (c) 9 (d) 18
  29. 29.What is the mean of 4, 9, 6, 2, 16 and 11? (a) 10 (b) 7 (c) 8 (d) 9
  30. 30.The mean of 5 numbers is 17. When the number 5 is added to them, what is the new mean? (a) 11 (b) 17 (c) 15 (d) 16
  31. 31.The mean of 7 numbers is 39. When the number 55 is added to them, what is the new mean? (a) 47 (b) 39 (c) 41 (d) 42
  32. 32.What is the median of 32, 20, 25, 30, 19, 27 and 5? (a) 27 (b) 20 (c) 30 (d) 25
  33. 33.What is the mode of 20, 4, 13, 20, 4, 20 and 6? (a) 13 (b) 6 (c) 4 (d) 20
  34. 34.What is the mean of 12, 11, 3, 9 and 10? (a) 8 (b) 9 (c) 10 (d) 11
  35. 35.What is the mean of 7, 12, 17, 13, 6 and 17? (a) 14 (b) 11 (c) 12 (d) 13
  36. 36.The mean of 7 numbers is 16. When the number 40 is added to them, what is the new mean? (a) 19 (b) 28 (c) 16 (d) 20
  37. 37.The mean of 3 numbers is 33. When the number 21 is added to them, what is the new mean? (a) 30 (b) 31 (c) 27 (d) 33
  38. 38.What is the mean of 12, 9, 5 and 2? (a) 9 (b) 8 (c) 7 (d) 6
  39. 39.What is the median of 38, 6, 32, 31, 17, 20 and 11? (a) 21 (b) 20 (c) 17 (d) 31
  40. 40.What is the mean of 14, 3, 6, 10, 16 and 17? (a) 12 (b) 11 (c) 10 (d) 13

Answer key

  1. 12
  2. 35
  3. 27
  4. 14
  5. 15
  6. 29
  7. 4
  8. 12
  9. 8
  10. 11
  11. 20
  12. 23
  13. 23
  14. 9
  15. 10
  16. 11
  17. 12
  18. 14
  19. 8
  20. 7
  21. 9
  22. 13
  23. 17
  24. 20
  25. 38
  26. 8
  27. 9
  28. 8
  29. 8
  30. 15
  31. 41
  32. 25
  33. 20
  34. 9
  35. 12
  36. 19
  37. 30
  38. 7
  39. 20
  40. 11

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