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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 630 · 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 median of 18, 21, 34, 36, 30, 23 and 15? (a) 36 (b) 23 (c) 30 (d) 21
  2. 2.What is the median of 39, 14, 15, 36 and 29? (a) 15 (b) 36 (c) 29 (d) 30
  3. 3.What is the mode of 3, 3, 12, 16, 17, 17 and 17? (a) 16 (b) 17 (c) 12 (d) 3
  4. 4.The mean of 7 numbers is 17. When the number 41 is added to them, what is the new mean? (a) 21 (b) 20 (c) 29 (d) 17
  5. 5.The mean of 9 numbers is 14. When the number 24 is added to them, what is the new mean? (a) 16 (b) 14 (c) 19 (d) 15
  6. 6.What is the mean of 12, 13, 3 and 4? (a) 8 (b) 10 (c) 7 (d) 9
  7. 7.What is the mean of 6, 9, 5, 17, 15 and 20? (a) 14 (b) 11 (c) 12 (d) 13
  8. 8.What is the mode of 16, 17, 14, 16, 16, 2 and 2? (a) 16 (b) 17 (c) 2 (d) 14
  9. 9.What is the mode of 14, 18, 20, 18, 18, 5 and 20? (a) 5 (b) 18 (c) 14 (d) 20
  10. 10.What is the median of 8, 37, 4, 6, 18, 12 and 30? (a) 12 (b) 8 (c) 6 (d) 18
  11. 11.The mean of 6 numbers is 25. When the number 53 is added to them, what is the new mean? (a) 39 (b) 25 (c) 29 (d) 30
  12. 12.What is the mean of 19, 10, 14, 2 and 5? (a) 12 (b) 9 (c) 11 (d) 10
  13. 13.What is the median of 5, 34, 17, 35, 3, 2 and 8? (a) 17 (b) 8 (c) 5 (d) 35
  14. 14.What is the median of 31, 27, 19, 11 and 38? (a) 19 (b) 27 (c) 28 (d) 31
  15. 15.What is the mean of 19, 5, 5, 20 and 11? (a) 10 (b) 13 (c) 15 (d) 12
  16. 16.What is the mode of 18, 18, 12, 6, 2, 18 and 12? (a) 18 (b) 2 (c) 12 (d) 6
  17. 17.What is the median of 12, 29, 36, 9 and 4? (a) 36 (b) 18 (c) 12 (d) 29
  18. 18.What is the mode of 9, 4, 1, 4, 9, 12 and 9? (a) 4 (b) 1 (c) 9 (d) 12
  19. 19.What is the mean of 11, 10, 11 and 20? (a) 15 (b) 13 (c) 12 (d) 14
  20. 20.What is the median of 23, 25, 10, 14 and 2? (a) 15 (b) 10 (c) 14 (d) 23
  21. 21.What is the mean of 15, 12, 16, 2 and 20? (a) 13 (b) 12 (c) 15 (d) 14
  22. 22.What is the median of 20, 25, 7, 27, 19, 9 and 40? (a) 25 (b) 20 (c) 21 (d) 27
  23. 23.What is the median of 11, 13, 35, 3 and 24? (a) 11 (b) 24 (c) 13 (d) 35
  24. 24.What is the mean of 11, 3, 10, 19 and 12? (a) 12 (b) 10 (c) 13 (d) 11
  25. 25.What is the mode of 17, 12, 12, 5, 8, 8 and 8? (a) 17 (b) 8 (c) 12 (d) 5
  26. 26.What is the mode of 14, 15, 15, 14, 18, 12 and 14? (a) 15 (b) 12 (c) 14 (d) 18
  27. 27.What is the mode of 2, 14, 2, 17, 14, 2 and 8? (a) 8 (b) 17 (c) 14 (d) 2
  28. 28.What is the median of 16, 7, 1, 26 and 9? (a) 9 (b) 1 (c) 16 (d) 7
  29. 29.What is the mean of 16, 7, 16, 17 and 19? (a) 16 (b) 17 (c) 15 (d) 14
  30. 30.The mean of 7 numbers is 13. When the number 5 is added to them, what is the new mean? (a) 9 (b) 11 (c) 12 (d) 13
  31. 31.What is the median of 34, 6, 4, 25 and 15? (a) 25 (b) 6 (c) 15 (d) 4
  32. 32.What is the mean of 8, 14, 8 and 18? (a) 12 (b) 11 (c) 16 (d) 13
  33. 33.What is the mean of 20, 13, 8, 8 and 11? (a) 10 (b) 12 (c) 13 (d) 15
  34. 34.What is the mean of 20, 15, 17 and 20? (a) 24 (b) 19 (c) 17 (d) 18
  35. 35.The mean of 8 numbers is 17. When the number 8 is added to them, what is the new mean? (a) 18 (b) 17 (c) 16 (d) 15
  36. 36.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 20 (b) 26 (c) 21 (d) 18
  37. 37.What is the median of 30, 8, 5, 31 and 2? (a) 5 (b) 30 (c) 9 (d) 8
  38. 38.The mean of 5 numbers is 26. When the number 44 is added to them, what is the new mean? (a) 29 (b) 30 (c) 35 (d) 26
  39. 39.What is the mean of 9, 2, 2 and 23? (a) 10 (b) 9 (c) 8 (d) 12
  40. 40.What is the median of 6, 36, 30, 21 and 8? (a) 30 (b) 22 (c) 21 (d) 8

Answer key

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

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