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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 328 · 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 4, 19, 5 and 16? (a) 13 (b) 12 (c) 11 (d) 10
  2. 2.What is the median of 34, 39, 13, 6 and 28? (a) 28 (b) 13 (c) 24 (d) 34
  3. 3.What is the mode of 18, 8, 4, 6, 6, 8 and 6? (a) 18 (b) 6 (c) 4 (d) 8
  4. 4.What is the mean of 14, 5, 3, 7, 16 and 15? (a) 10 (b) 9 (c) 12 (d) 11
  5. 5.What is the mean of 6, 8, 16 and 18? (a) 11 (b) 16 (c) 13 (d) 12
  6. 6.What is the mode of 17, 3, 19, 2, 17, 19 and 19? (a) 2 (b) 17 (c) 19 (d) 3
  7. 7.The mean of 3 numbers is 11. When the number 15 is added to them, what is the new mean? (a) 11 (b) 13 (c) 12 (d) 14
  8. 8.What is the mean of 8, 15, 13, 17 and 7? (a) 15 (b) 10 (c) 13 (d) 12
  9. 9.What is the mean of 11, 18, 12, 20, 6 and 11? (a) 15 (b) 12 (c) 13 (d) 14
  10. 10.What is the median of 8, 28, 16, 9 and 31? (a) 9 (b) 17 (c) 28 (d) 16
  11. 11.What is the mode of 20, 19, 14, 19, 19, 12 and 12? (a) 14 (b) 12 (c) 20 (d) 19
  12. 12.What is the mean of 5, 6, 14 and 7? (a) 9 (b) 8 (c) 10 (d) 7
  13. 13.The mean of 3 numbers is 15. When the number 11 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 14
  14. 14.The mean of 7 numbers is 31. When the number 15 is added to them, what is the new mean? (a) 23 (b) 29 (c) 31 (d) 30
  15. 15.What is the median of 8, 37, 38, 13 and 28? (a) 28 (b) 37 (c) 13 (d) 38
  16. 16.The mean of 6 numbers is 22. When the number 15 is added to them, what is the new mean? (a) 22 (b) 23 (c) 21 (d) 20
  17. 17.What is the mode of 4, 3, 2, 2, 4, 10 and 4? (a) 2 (b) 3 (c) 10 (d) 4
  18. 18.What is the mode of 9, 9, 15, 1, 7, 15 and 15? (a) 7 (b) 9 (c) 15 (d) 1
  19. 19.What is the mean of 9, 13, 7 and 3? (a) 8 (b) 10 (c) 7 (d) 9
  20. 20.What is the mean of 11, 6, 5 and 14? (a) 8 (b) 10 (c) 9 (d) 12
  21. 21.What is the mode of 16, 9, 11, 19, 9, 16 and 9? (a) 11 (b) 9 (c) 19 (d) 16
  22. 22.What is the median of 7, 27, 1, 11, 10, 3 and 30? (a) 7 (b) 10 (c) 11 (d) 9
  23. 23.The mean of 6 numbers is 36. When the number 57 is added to them, what is the new mean? (a) 40 (b) 39 (c) 36 (d) 38
  24. 24.What is the mean of 17, 13, 9 and 13? (a) 12 (b) 14 (c) 13 (d) 15
  25. 25.What is the mean of 4, 14, 4, 6, 9 and 5? (a) 7 (b) 9 (c) 6 (d) 8
  26. 26.The mean of 8 numbers is 38. When the number 2 is added to them, what is the new mean? (a) 34 (b) 20 (c) 35 (d) 38
  27. 27.The mean of 7 numbers is 40. When the number 8 is added to them, what is the new mean? (a) 37 (b) 24 (c) 36 (d) 40
  28. 28.What is the median of 22, 21, 16, 7 and 2? (a) 7 (b) 17 (c) 21 (d) 16
  29. 29.What is the median of 18, 10, 12, 22 and 14? (a) 18 (b) 15 (c) 12 (d) 14
  30. 30.What is the median of 31, 35, 17, 9 and 25? (a) 26 (b) 17 (c) 25 (d) 31
  31. 31.What is the mean of 11, 16, 14, 19 and 10? (a) 13 (b) 15 (c) 14 (d) 16
  32. 32.What is the mode of 4, 20, 4, 3, 20, 11 and 20? (a) 20 (b) 4 (c) 3 (d) 11
  33. 33.The mean of 3 numbers is 15. When the number 27 is added to them, what is the new mean? (a) 19 (b) 18 (c) 21 (d) 15
  34. 34.What is the median of 23, 5, 13, 18, 4, 2 and 10? (a) 18 (b) 13 (c) 10 (d) 5
  35. 35.What is the mean of 19, 18, 12, 5, 7 and 5? (a) 11 (b) 13 (c) 12 (d) 10
  36. 36.What is the median of 22, 19, 13, 20, 11, 16 and 3? (a) 19 (b) 16 (c) 13 (d) 20
  37. 37.What is the mean of 3, 3, 11 and 7? (a) 7 (b) 5 (c) 8 (d) 6
  38. 38.What is the mode of 15, 11, 11, 15, 16, 8 and 15? (a) 8 (b) 15 (c) 11 (d) 16
  39. 39.What is the mode of 2, 11, 3, 13, 2, 3 and 2? (a) 11 (b) 13 (c) 2 (d) 3
  40. 40.What is the mode of 20, 7, 1, 1, 3, 1 and 20? (a) 3 (b) 20 (c) 1 (d) 7

Answer key

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

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