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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 177 · 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 15, 40, 30, 20, 29, 9 and 8? (a) 15 (b) 20 (c) 29 (d) 21
  2. 2.What is the mode of 14, 16, 16, 7, 2, 7 and 7? (a) 14 (b) 7 (c) 16 (d) 2
  3. 3.What is the mean of 10, 5, 20 and 17? (a) 12 (b) 13 (c) 14 (d) 15
  4. 4.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 16 (b) 22 (c) 17 (d) 12
  5. 5.What is the mode of 9, 9, 2, 9, 4, 2 and 5? (a) 5 (b) 2 (c) 9 (d) 4
  6. 6.What is the mean of 19, 2, 20 and 19? (a) 12 (b) 20 (c) 15 (d) 16
  7. 7.What is the median of 13, 40, 9, 10, 15, 27 and 18? (a) 15 (b) 13 (c) 18 (d) 10
  8. 8.What is the median of 21, 32, 15, 8 and 27? (a) 22 (b) 21 (c) 27 (d) 15
  9. 9.What is the median of 22, 7, 2, 16 and 6? (a) 6 (b) 16 (c) 7 (d) 2
  10. 10.What is the median of 6, 5, 25, 18, 14, 20 and 10? (a) 18 (b) 15 (c) 10 (d) 14
  11. 11.What is the mean of 4, 19, 19 and 10? (a) 15 (b) 14 (c) 12 (d) 13
  12. 12.What is the median of 2, 33, 15, 13, 5, 23 and 21? (a) 15 (b) 16 (c) 13 (d) 21
  13. 13.What is the mode of 10, 2, 16, 10, 2, 10 and 9? (a) 2 (b) 16 (c) 9 (d) 10
  14. 14.What is the mean of 5, 12, 16, 16, 8 and 21? (a) 14 (b) 12 (c) 13 (d) 15
  15. 15.What is the median of 8, 37, 23, 6, 7, 15 and 13? (a) 8 (b) 15 (c) 6 (d) 13
  16. 16.The mean of 4 numbers is 13. When the number 33 is added to them, what is the new mean? (a) 23 (b) 18 (c) 17 (d) 13
  17. 17.What is the median of 30, 31, 5, 26 and 10? (a) 10 (b) 30 (c) 5 (d) 26
  18. 18.What is the median of 5, 28, 32, 14 and 18? (a) 14 (b) 28 (c) 18 (d) 32
  19. 19.The mean of 8 numbers is 29. When the number 47 is added to them, what is the new mean? (a) 32 (b) 38 (c) 31 (d) 29
  20. 20.What is the mode of 4, 18, 18, 10, 5, 18 and 5? (a) 4 (b) 10 (c) 18 (d) 5
  21. 21.What is the mean of 8, 18, 13, 10, 19 and 22? (a) 16 (b) 18 (c) 15 (d) 14
  22. 22.What is the mean of 15, 13, 16, 18, 15 and 19? (a) 16 (b) 15 (c) 18 (d) 17
  23. 23.What is the mean of 8, 19, 17, 15 and 21? (a) 17 (b) 20 (c) 15 (d) 16
  24. 24.What is the median of 35, 7, 8, 34 and 20? (a) 34 (b) 20 (c) 8 (d) 21
  25. 25.What is the mode of 17, 9, 16, 9, 9, 2 and 16? (a) 16 (b) 2 (c) 9 (d) 17
  26. 26.The mean of 3 numbers is 39. When the number 35 is added to them, what is the new mean? (a) 39 (b) 40 (c) 38 (d) 37
  27. 27.What is the mode of 20, 13, 5, 13, 20, 4 and 13? (a) 5 (b) 20 (c) 13 (d) 4
  28. 28.What is the mean of 13, 19, 12, 9, 4 and 21? (a) 13 (b) 12 (c) 14 (d) 15
  29. 29.What is the median of 28, 18, 26, 2, 10, 27 and 30? (a) 2 (b) 18 (c) 27 (d) 26
  30. 30.The mean of 4 numbers is 15. When the number 20 is added to them, what is the new mean? (a) 18 (b) 17 (c) 15 (d) 16
  31. 31.What is the mean of 6, 2, 6, 19 and 12? (a) 11 (b) 8 (c) 9 (d) 10
  32. 32.What is the mean of 8, 14, 3 and 3? (a) 6 (b) 8 (c) 9 (d) 7
  33. 33.What is the mean of 16, 2, 14, 13 and 15? (a) 13 (b) 12 (c) 15 (d) 10
  34. 34.What is the mode of 17, 3, 3, 3, 10, 18 and 18? (a) 10 (b) 18 (c) 3 (d) 17
  35. 35.What is the mean of 5, 2, 15 and 14? (a) 12 (b) 8 (c) 9 (d) 10
  36. 36.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 26 (b) 32 (c) 29 (d) 30
  37. 37.The mean of 3 numbers is 22. When the number 10 is added to them, what is the new mean? (a) 20 (b) 22 (c) 16 (d) 19
  38. 38.What is the mode of 3, 17, 15, 2, 15, 17 and 15? (a) 15 (b) 3 (c) 2 (d) 17
  39. 39.The mean of 3 numbers is 16. When the number 32 is added to them, what is the new mean? (a) 24 (b) 16 (c) 20 (d) 21
  40. 40.What is the mean of 20, 14, 15, 10 and 6? (a) 15 (b) 14 (c) 13 (d) 12

Answer key

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

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