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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 683 · 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 5, 37, 10, 23, 36, 17 and 11? (a) 17 (b) 23 (c) 11 (d) 18
  2. 2.What is the median of 10, 33, 7, 19 and 21? (a) 19 (b) 18 (c) 21 (d) 7
  3. 3.What is the mode of 18, 17, 14, 18, 17, 20 and 17? (a) 20 (b) 17 (c) 18 (d) 14
  4. 4.What is the mean of 17, 9, 14 and 4? (a) 11 (b) 12 (c) 10 (d) 13
  5. 5.What is the mean of 15, 8, 2 and 11? (a) 9 (b) 12 (c) 10 (d) 8
  6. 6.What is the mean of 11, 17, 15, 8, 15 and 6? (a) 13 (b) 11 (c) 12 (d) 14
  7. 7.The mean of 5 numbers is 25. When the number 31 is added to them, what is the new mean? (a) 25 (b) 28 (c) 27 (d) 26
  8. 8.What is the mode of 15, 4, 15, 15, 17, 11 and 4? (a) 11 (b) 15 (c) 17 (d) 4
  9. 9.What is the median of 40, 21, 6, 2 and 11? (a) 11 (b) 21 (c) 16 (d) 6
  10. 10.The mean of 4 numbers is 31. When the number 11 is added to them, what is the new mean? (a) 31 (b) 27 (c) 21 (d) 28
  11. 11.What is the median of 28, 29, 12, 35 and 9? (a) 28 (b) 12 (c) 29 (d) 27
  12. 12.What is the mode of 11, 20, 10, 20, 16, 20 and 11? (a) 16 (b) 11 (c) 10 (d) 20
  13. 13.What is the median of 13, 2, 3, 31 and 20? (a) 20 (b) 3 (c) 14 (d) 13
  14. 14.What is the mean of 10, 5, 2, 17 and 21? (a) 12 (b) 10 (c) 13 (d) 11
  15. 15.The mean of 5 numbers is 28. When the number 4 is added to them, what is the new mean? (a) 25 (b) 28 (c) 16 (d) 24
  16. 16.What is the mean of 9, 5, 7, 6, 11 and 22? (a) 12 (b) 11 (c) 9 (d) 10
  17. 17.What is the mode of 1, 1, 15, 2, 8, 1 and 8? (a) 15 (b) 2 (c) 8 (d) 1
  18. 18.What is the median of 35, 34, 6, 25 and 18? (a) 6 (b) 18 (c) 34 (d) 25
  19. 19.The mean of 9 numbers is 11. When the number 51 is added to them, what is the new mean? (a) 11 (b) 31 (c) 16 (d) 15
  20. 20.The mean of 4 numbers is 11. When the number 6 is added to them, what is the new mean? (a) 11 (b) 12 (c) 9 (d) 10
  21. 21.What is the mean of 7, 14, 11, 5, 19 and 4? (a) 12 (b) 9 (c) 10 (d) 11
  22. 22.The mean of 4 numbers is 40. When the number 45 is added to them, what is the new mean? (a) 41 (b) 43 (c) 40 (d) 42
  23. 23.What is the mean of 3, 6, 6, 10, 13 and 10? (a) 9 (b) 7 (c) 8 (d) 10
  24. 24.What is the mean of 8, 15, 17 and 12? (a) 15 (b) 13 (c) 12 (d) 14
  25. 25.What is the mode of 18, 18, 4, 20, 10, 18 and 10? (a) 18 (b) 20 (c) 4 (d) 10
  26. 26.What is the median of 16, 14, 13, 17, 2, 31 and 34? (a) 15 (b) 16 (c) 17 (d) 14
  27. 27.What is the mode of 8, 8, 8, 14, 14, 5 and 4? (a) 4 (b) 8 (c) 5 (d) 14
  28. 28.What is the mean of 14, 20, 18 and 8? (a) 15 (b) 12 (c) 20 (d) 16
  29. 29.What is the mean of 13, 14, 3 and 10? (a) 8 (b) 11 (c) 9 (d) 10
  30. 30.The mean of 3 numbers is 25. When the number 21 is added to them, what is the new mean? (a) 23 (b) 24 (c) 26 (d) 25
  31. 31.What is the mode of 3, 12, 12, 18, 13, 12 and 18? (a) 3 (b) 12 (c) 13 (d) 18
  32. 32.The mean of 8 numbers is 36. When the number 18 is added to them, what is the new mean? (a) 27 (b) 36 (c) 35 (d) 34
  33. 33.What is the mean of 2, 8, 20, 20 and 5? (a) 11 (b) 12 (c) 13 (d) 10
  34. 34.What is the median of 4, 24, 6, 14 and 31? (a) 6 (b) 24 (c) 15 (d) 14
  35. 35.What is the mean of 3, 3, 13, 11 and 10? (a) 7 (b) 10 (c) 9 (d) 8
  36. 36.What is the mean of 16, 14, 18 and 16? (a) 17 (b) 15 (c) 18 (d) 16
  37. 37.What is the mode of 14, 10, 11, 19, 19, 14 and 14? (a) 11 (b) 10 (c) 19 (d) 14
  38. 38.What is the mean of 17, 10, 10 and 19? (a) 15 (b) 13 (c) 16 (d) 14
  39. 39.The mean of 6 numbers is 31. When the number 59 is added to them, what is the new mean? (a) 45 (b) 31 (c) 35 (d) 36
  40. 40.What is the median of 30, 9, 37, 27 and 14? (a) 27 (b) 14 (c) 37 (d) 30

Answer key

  1. 17
  2. 19
  3. 17
  4. 11
  5. 9
  6. 12
  7. 26
  8. 15
  9. 11
  10. 27
  11. 28
  12. 20
  13. 13
  14. 11
  15. 24
  16. 10
  17. 1
  18. 25
  19. 15
  20. 10
  21. 10
  22. 41
  23. 8
  24. 13
  25. 18
  26. 16
  27. 8
  28. 15
  29. 10
  30. 24
  31. 12
  32. 34
  33. 11
  34. 14
  35. 8
  36. 16
  37. 14
  38. 14
  39. 35
  40. 27

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