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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 505 · 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 4 numbers is 15. When the number 35 is added to them, what is the new mean? (a) 20 (b) 19 (c) 15 (d) 25
  2. 2.What is the mean of 15, 15, 13 and 5? (a) 16 (b) 13 (c) 11 (d) 12
  3. 3.What is the median of 13, 6, 7, 34 and 8? (a) 7 (b) 8 (c) 13 (d) 9
  4. 4.What is the mean of 17, 17, 7, 4, 3 and 6? (a) 8 (b) 11 (c) 10 (d) 9
  5. 5.What is the mean of 3, 8, 14 and 15? (a) 8 (b) 11 (c) 9 (d) 10
  6. 6.What is the median of 10, 6, 26, 29, 11, 34 and 37? (a) 29 (b) 26 (c) 27 (d) 11
  7. 7.What is the median of 14, 36, 29, 28, 37, 1 and 5? (a) 28 (b) 14 (c) 29 (d) 27
  8. 8.What is the mode of 6, 15, 3, 9, 3, 6 and 6? (a) 3 (b) 9 (c) 15 (d) 6
  9. 9.What is the mean of 15, 16, 6, 15, 3 and 17? (a) 12 (b) 11 (c) 13 (d) 14
  10. 10.What is the mean of 16, 11, 12, 11 and 20? (a) 15 (b) 16 (c) 13 (d) 14
  11. 11.What is the mode of 1, 1, 19, 3, 14, 14 and 14? (a) 3 (b) 19 (c) 14 (d) 1
  12. 12.What is the mode of 6, 5, 7, 6, 2, 7 and 7? (a) 2 (b) 7 (c) 6 (d) 5
  13. 13.What is the mean of 13, 17, 13, 6 and 6? (a) 11 (b) 10 (c) 13 (d) 12
  14. 14.What is the median of 25, 37, 22, 31, 17, 34 and 8? (a) 26 (b) 31 (c) 22 (d) 25
  15. 15.What is the mean of 15, 4, 17, 2, 20 and 8? (a) 10 (b) 12 (c) 13 (d) 11
  16. 16.What is the mode of 18, 18, 11, 9, 18, 20 and 9? (a) 18 (b) 11 (c) 9 (d) 20
  17. 17.What is the mode of 18, 15, 12, 7, 7, 15 and 7? (a) 7 (b) 15 (c) 12 (d) 18
  18. 18.What is the mode of 20, 13, 2, 20, 2, 19 and 20? (a) 20 (b) 2 (c) 19 (d) 13
  19. 19.The mean of 6 numbers is 37. When the number 9 is added to them, what is the new mean? (a) 34 (b) 37 (c) 33 (d) 23
  20. 20.The mean of 6 numbers is 32. When the number 53 is added to them, what is the new mean? (a) 35 (b) 34 (c) 36 (d) 32
  21. 21.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 24 (b) 29 (c) 23 (d) 19
  22. 22.What is the mean of 3, 6, 17, 19, 13 and 8? (a) 12 (b) 10 (c) 13 (d) 11
  23. 23.What is the mode of 1, 18, 16, 18, 16, 9 and 18? (a) 16 (b) 18 (c) 9 (d) 1
  24. 24.What is the mean of 13, 2, 10 and 7? (a) 10 (b) 8 (c) 9 (d) 7
  25. 25.What is the mode of 3, 16, 3, 2, 16, 14 and 3? (a) 2 (b) 14 (c) 3 (d) 16
  26. 26.What is the median of 3, 31, 19, 8 and 9? (a) 19 (b) 14 (c) 8 (d) 9
  27. 27.The mean of 6 numbers is 36. When the number 8 is added to them, what is the new mean? (a) 33 (b) 36 (c) 22 (d) 32
  28. 28.What is the mode of 8, 19, 4, 4, 2, 8 and 8? (a) 19 (b) 8 (c) 2 (d) 4
  29. 29.What is the mode of 7, 3, 3, 13, 7, 3 and 10? (a) 13 (b) 10 (c) 7 (d) 3
  30. 30.What is the median of 33, 4, 39, 13 and 36? (a) 36 (b) 33 (c) 25 (d) 39
  31. 31.What is the median of 2, 25, 13, 1 and 20? (a) 2 (b) 13 (c) 14 (d) 20
  32. 32.What is the mean of 6, 4, 15, 16, 18 and 7? (a) 10 (b) 11 (c) 12 (d) 13
  33. 33.What is the median of 7, 4, 3, 6 and 12? (a) 4 (b) 3 (c) 6 (d) 7
  34. 34.What is the mode of 15, 12, 12, 14, 14, 14 and 18? (a) 18 (b) 12 (c) 14 (d) 15
  35. 35.What is the median of 31, 6, 9, 12 and 14? (a) 14 (b) 12 (c) 9 (d) 13
  36. 36.The mean of 7 numbers is 22. When the number 30 is added to them, what is the new mean? (a) 23 (b) 22 (c) 26 (d) 24
  37. 37.The mean of 3 numbers is 30. When the number 34 is added to them, what is the new mean? (a) 30 (b) 33 (c) 32 (d) 31
  38. 38.What is the median of 16, 21, 12, 27 and 29? (a) 12 (b) 27 (c) 21 (d) 16
  39. 39.What is the median of 14, 6, 20, 15 and 38? (a) 14 (b) 15 (c) 16 (d) 20
  40. 40.What is the median of 10, 35, 17, 2 and 25? (a) 10 (b) 17 (c) 18 (d) 25

Answer key

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

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