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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 725 · 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 9 numbers is 17. When the number 27 is added to them, what is the new mean? (a) 22 (b) 17 (c) 18 (d) 19
  2. 2.What is the median of 2, 1, 15, 34, 8, 12 and 21? (a) 15 (b) 12 (c) 34 (d) 8
  3. 3.What is the median of 38, 34, 5, 15 and 40? (a) 34 (b) 5 (c) 38 (d) 15
  4. 4.What is the median of 35, 6, 19, 26 and 37? (a) 35 (b) 19 (c) 27 (d) 26
  5. 5.What is the mode of 16, 15, 5, 5, 5, 8 and 15? (a) 16 (b) 8 (c) 5 (d) 15
  6. 6.What is the median of 7, 1, 39, 13 and 36? (a) 39 (b) 36 (c) 13 (d) 7
  7. 7.What is the median of 8, 14, 19, 31, 11, 35 and 6? (a) 19 (b) 31 (c) 11 (d) 14
  8. 8.What is the mode of 12, 4, 6, 4, 15, 15 and 15? (a) 4 (b) 12 (c) 15 (d) 6
  9. 9.The mean of 6 numbers is 32. When the number 4 is added to them, what is the new mean? (a) 29 (b) 32 (c) 28 (d) 18
  10. 10.What is the mean of 17, 12, 16, 13 and 17? (a) 14 (b) 17 (c) 15 (d) 16
  11. 11.What is the mean of 18, 4, 4 and 6? (a) 9 (b) 8 (c) 7 (d) 10
  12. 12.What is the mode of 18, 16, 16, 4, 16, 17 and 4? (a) 4 (b) 18 (c) 17 (d) 16
  13. 13.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 23 (b) 24 (c) 19 (d) 29
  14. 14.What is the mean of 16, 17, 17, 13 and 17? (a) 16 (b) 17 (c) 15 (d) 20
  15. 15.What is the median of 27, 37, 4, 14, 5, 9 and 32? (a) 9 (b) 15 (c) 14 (d) 27
  16. 16.The mean of 6 numbers is 29. When the number 43 is added to them, what is the new mean? (a) 31 (b) 32 (c) 36 (d) 29
  17. 17.What is the mode of 15, 5, 17, 5, 17, 1 and 17? (a) 17 (b) 15 (c) 5 (d) 1
  18. 18.The mean of 4 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 15 (b) 11 (c) 14 (d) 16
  19. 19.What is the mean of 10, 20, 16, 6, 20 and 18? (a) 14 (b) 18 (c) 15 (d) 16
  20. 20.What is the mean of 10, 16, 11, 11 and 12? (a) 12 (b) 15 (c) 10 (d) 13
  21. 21.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 31 (b) 16 (c) 15 (d) 11
  22. 22.The mean of 3 numbers is 34. When the number 50 is added to them, what is the new mean? (a) 38 (b) 39 (c) 42 (d) 34
  23. 23.What is the mean of 17, 20, 3, 11 and 9? (a) 12 (b) 15 (c) 10 (d) 13
  24. 24.What is the median of 40, 32, 33, 11, 4, 2 and 16? (a) 16 (b) 32 (c) 17 (d) 11
  25. 25.What is the median of 32, 1, 31, 23 and 20? (a) 20 (b) 24 (c) 31 (d) 23
  26. 26.What is the median of 2, 1, 11, 21, 7, 32 and 38? (a) 21 (b) 7 (c) 16 (d) 11
  27. 27.What is the mean of 2, 5, 12, 5 and 16? (a) 9 (b) 8 (c) 10 (d) 7
  28. 28.What is the mode of 7, 18, 8, 3, 8, 7 and 8? (a) 18 (b) 3 (c) 8 (d) 7
  29. 29.The mean of 4 numbers is 13. When the number 23 is added to them, what is the new mean? (a) 13 (b) 18 (c) 15 (d) 16
  30. 30.What is the mode of 18, 16, 16, 19, 19, 11 and 16? (a) 19 (b) 16 (c) 18 (d) 11
  31. 31.What is the mean of 11, 15, 6, 11, 8 and 15? (a) 11 (b) 12 (c) 10 (d) 13
  32. 32.What is the median of 36, 3, 1, 5 and 34? (a) 34 (b) 1 (c) 3 (d) 5
  33. 33.What is the mean of 3, 6, 12, 5 and 19? (a) 9 (b) 11 (c) 8 (d) 10
  34. 34.What is the mean of 15, 12, 11, 15, 13 and 6? (a) 13 (b) 11 (c) 12 (d) 14
  35. 35.What is the mode of 5, 5, 8, 17, 8, 5 and 16? (a) 16 (b) 5 (c) 8 (d) 17
  36. 36.What is the mean of 16, 4, 8, 8 and 19? (a) 12 (b) 10 (c) 13 (d) 11
  37. 37.What is the mean of 2, 2, 19, 7 and 20? (a) 11 (b) 9 (c) 12 (d) 10
  38. 38.What is the median of 16, 19, 13, 1 and 23? (a) 17 (b) 19 (c) 16 (d) 13
  39. 39.What is the mean of 11, 13, 4 and 12? (a) 9 (b) 11 (c) 8 (d) 10
  40. 40.What is the mode of 8, 15, 13, 8, 8, 10 and 15? (a) 8 (b) 10 (c) 13 (d) 15

Answer key

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

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