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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 339 · 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 mode of 3, 14, 6, 10, 6, 6 and 10? (a) 14 (b) 3 (c) 6 (d) 10
  2. 2.What is the mode of 7, 1, 1, 10, 6, 10 and 10? (a) 1 (b) 7 (c) 6 (d) 10
  3. 3.The mean of 7 numbers is 22. When the number 38 is added to them, what is the new mean? (a) 30 (b) 24 (c) 22 (d) 25
  4. 4.What is the mean of 12, 2, 19 and 11? (a) 13 (b) 10 (c) 11 (d) 12
  5. 5.What is the mode of 4, 9, 4, 5, 5, 5 and 14? (a) 4 (b) 5 (c) 9 (d) 14
  6. 6.What is the median of 7, 12, 33, 4 and 28? (a) 28 (b) 33 (c) 7 (d) 12
  7. 7.What is the mean of 9, 4, 5, 5 and 7? (a) 8 (b) 5 (c) 6 (d) 7
  8. 8.What is the median of 7, 35, 36, 38 and 18? (a) 35 (b) 18 (c) 36 (d) 34
  9. 9.What is the mode of 12, 12, 11, 11, 5, 2 and 12? (a) 2 (b) 5 (c) 12 (d) 11
  10. 10.The mean of 6 numbers is 30. When the number 51 is added to them, what is the new mean? (a) 30 (b) 32 (c) 34 (d) 33
  11. 11.The mean of 4 numbers is 23. When the number 3 is added to them, what is the new mean? (a) 20 (b) 13 (c) 19 (d) 23
  12. 12.What is the median of 32, 37, 19, 2 and 18? (a) 19 (b) 18 (c) 32 (d) 20
  13. 13.What is the mode of 1, 6, 14, 14, 18, 14 and 18? (a) 14 (b) 1 (c) 18 (d) 6
  14. 14.What is the mode of 18, 12, 13, 13, 13, 7 and 12? (a) 12 (b) 7 (c) 18 (d) 13
  15. 15.What is the mean of 19, 10, 15, 3 and 23? (a) 13 (b) 16 (c) 14 (d) 15
  16. 16.The mean of 5 numbers is 19. When the number 43 is added to them, what is the new mean? (a) 19 (b) 31 (c) 24 (d) 23
  17. 17.What is the mean of 11, 16, 16 and 17? (a) 16 (b) 20 (c) 12 (d) 15
  18. 18.What is the mode of 16, 11, 7, 9, 7, 16 and 16? (a) 16 (b) 9 (c) 11 (d) 7
  19. 19.What is the mean of 16, 12, 5 and 11? (a) 12 (b) 10 (c) 11 (d) 13
  20. 20.What is the mean of 15, 20, 16 and 5? (a) 15 (b) 16 (c) 13 (d) 14
  21. 21.What is the median of 5, 3, 12, 11, 32, 19 and 15? (a) 12 (b) 11 (c) 13 (d) 15
  22. 22.What is the mean of 3, 3, 20, 4 and 10? (a) 10 (b) 8 (c) 7 (d) 9
  23. 23.The mean of 7 numbers is 25. When the number 33 is added to them, what is the new mean? (a) 27 (b) 29 (c) 26 (d) 25
  24. 24.What is the mean of 16, 10, 13 and 21? (a) 20 (b) 12 (c) 16 (d) 15
  25. 25.What is the mode of 4, 6, 4, 10, 10, 18 and 4? (a) 10 (b) 6 (c) 4 (d) 18
  26. 26.What is the mean of 7, 18, 10 and 13? (a) 16 (b) 11 (c) 13 (d) 12
  27. 27.What is the mean of 4, 19, 8 and 5? (a) 12 (b) 10 (c) 9 (d) 8
  28. 28.What is the mean of 5, 16, 9 and 10? (a) 8 (b) 9 (c) 10 (d) 11
  29. 29.What is the median of 5, 33, 17, 8, 27, 10 and 14? (a) 17 (b) 10 (c) 14 (d) 8
  30. 30.What is the mode of 14, 14, 9, 14, 8, 16 and 8? (a) 9 (b) 16 (c) 14 (d) 8
  31. 31.What is the mean of 13, 18, 20 and 9? (a) 16 (b) 20 (c) 15 (d) 12
  32. 32.What is the mode of 6, 14, 6, 14, 10, 14 and 5? (a) 10 (b) 5 (c) 14 (d) 6
  33. 33.What is the mean of 19, 11, 18, 2, 19 and 21? (a) 16 (b) 18 (c) 14 (d) 15
  34. 34.What is the median of 23, 39, 30, 21 and 18? (a) 24 (b) 21 (c) 23 (d) 30
  35. 35.What is the median of 4, 13, 2, 16 and 34? (a) 16 (b) 13 (c) 2 (d) 4
  36. 36.What is the mode of 7, 5, 11, 11, 5, 11 and 4? (a) 5 (b) 7 (c) 4 (d) 11
  37. 37.What is the mean of 18, 20, 9 and 9? (a) 15 (b) 13 (c) 14 (d) 16
  38. 38.What is the mean of 6, 11, 13 and 18? (a) 12 (b) 11 (c) 13 (d) 16
  39. 39.What is the mean of 18, 8, 12, 7 and 15? (a) 13 (b) 12 (c) 10 (d) 15
  40. 40.What is the median of 8, 35, 22, 29, 23, 25 and 13? (a) 23 (b) 25 (c) 22 (d) 29

Answer key

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

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