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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 396 · 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 7, 19, 9 and 17? (a) 12 (b) 15 (c) 13 (d) 14
  2. 2.What is the mean of 8, 15, 18, 13 and 6? (a) 13 (b) 15 (c) 10 (d) 12
  3. 3.What is the mean of 16, 18, 20, 13, 18 and 5? (a) 15 (b) 18 (c) 14 (d) 16
  4. 4.The mean of 6 numbers is 16. When the number 37 is added to them, what is the new mean? (a) 20 (b) 18 (c) 19 (d) 16
  5. 5.What is the mode of 16, 6, 4, 6, 20, 16 and 16? (a) 20 (b) 16 (c) 6 (d) 4
  6. 6.What is the mean of 13, 15, 12, 17, 12 and 9? (a) 14 (b) 12 (c) 13 (d) 15
  7. 7.What is the median of 24, 22, 5, 1 and 12? (a) 22 (b) 13 (c) 5 (d) 12
  8. 8.What is the mean of 2, 11, 13, 16, 10 and 20? (a) 14 (b) 13 (c) 11 (d) 12
  9. 9.What is the mode of 12, 17, 9, 9, 1, 17 and 9? (a) 12 (b) 17 (c) 1 (d) 9
  10. 10.The mean of 5 numbers is 21. When the number 9 is added to them, what is the new mean? (a) 20 (b) 15 (c) 21 (d) 19
  11. 11.What is the mean of 3, 4, 15, 16 and 12? (a) 11 (b) 10 (c) 12 (d) 9
  12. 12.What is the mean of 11, 4, 12 and 5? (a) 9 (b) 10 (c) 7 (d) 8
  13. 13.What is the mean of 16, 13, 8, 3, 9 and 17? (a) 10 (b) 11 (c) 12 (d) 13
  14. 14.What is the median of 28, 36, 10, 19, 29, 21 and 25? (a) 19 (b) 25 (c) 24 (d) 28
  15. 15.The mean of 9 numbers is 16. When the number 36 is added to them, what is the new mean? (a) 19 (b) 16 (c) 18 (d) 26
  16. 16.What is the mode of 16, 3, 11, 3, 11, 11 and 8? (a) 8 (b) 16 (c) 3 (d) 11
  17. 17.The mean of 9 numbers is 27. When the number 7 is added to them, what is the new mean? (a) 25 (b) 27 (c) 17 (d) 26
  18. 18.What is the mode of 5, 20, 20, 14, 5, 19 and 5? (a) 20 (b) 14 (c) 5 (d) 19
  19. 19.The mean of 6 numbers is 18. When the number 4 is added to them, what is the new mean? (a) 16 (b) 11 (c) 17 (d) 18
  20. 20.What is the mean of 20, 15, 19 and 18? (a) 17 (b) 19 (c) 24 (d) 18
  21. 21.What is the mean of 7, 6, 11 and 20? (a) 11 (b) 12 (c) 10 (d) 13
  22. 22.What is the mean of 14, 8, 15 and 15? (a) 13 (b) 15 (c) 14 (d) 12
  23. 23.The mean of 3 numbers is 35. When the number 43 is added to them, what is the new mean? (a) 39 (b) 35 (c) 37 (d) 38
  24. 24.What is the median of 25, 11, 40, 24, 22, 36 and 32? (a) 25 (b) 24 (c) 26 (d) 32
  25. 25.What is the mean of 11, 12, 7, 7 and 8? (a) 8 (b) 11 (c) 9 (d) 10
  26. 26.The mean of 7 numbers is 32. When the number 16 is added to them, what is the new mean? (a) 32 (b) 30 (c) 24 (d) 31
  27. 27.What is the mean of 15, 5, 14, 10 and 16? (a) 15 (b) 10 (c) 13 (d) 12
  28. 28.The mean of 4 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 16 (b) 14 (c) 19 (d) 17
  29. 29.What is the mean of 6, 14, 3, 19, 3 and 9? (a) 10 (b) 11 (c) 9 (d) 8
  30. 30.What is the mean of 13, 9, 2, 14, 11 and 17? (a) 12 (b) 13 (c) 11 (d) 10
  31. 31.What is the median of 24, 35, 21, 1 and 32? (a) 25 (b) 32 (c) 24 (d) 21
  32. 32.What is the median of 16, 23, 10, 4 and 39? (a) 10 (b) 17 (c) 23 (d) 16
  33. 33.What is the median of 36, 35, 5, 40, 37, 31 and 32? (a) 36 (b) 40 (c) 32 (d) 35
  34. 34.What is the median of 4, 30, 19, 9, 6, 39 and 17? (a) 17 (b) 9 (c) 18 (d) 19
  35. 35.What is the mean of 19, 4, 14, 19 and 19? (a) 15 (b) 16 (c) 17 (d) 14
  36. 36.What is the mode of 16, 1, 16, 3, 16, 9 and 9? (a) 3 (b) 16 (c) 9 (d) 1
  37. 37.What is the mode of 4, 5, 4, 12, 16, 16 and 16? (a) 12 (b) 5 (c) 4 (d) 16
  38. 38.The mean of 5 numbers is 20. When the number 26 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 21
  39. 39.What is the mode of 17, 11, 11, 5, 5, 9 and 11? (a) 11 (b) 9 (c) 5 (d) 17
  40. 40.What is the median of 9, 15, 4, 21, 28, 35 and 16? (a) 15 (b) 21 (c) 16 (d) 17

Answer key

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

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