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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 97 · 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 14, 8, 7, 8, 14, 11 and 14? (a) 11 (b) 8 (c) 7 (d) 14
  2. 2.What is the median of 39, 11, 17, 26, 2, 8 and 38? (a) 11 (b) 26 (c) 18 (d) 17
  3. 3.What is the mode of 19, 19, 17, 15, 19, 15 and 4? (a) 4 (b) 15 (c) 17 (d) 19
  4. 4.The mean of 6 numbers is 37. When the number 65 is added to them, what is the new mean? (a) 37 (b) 42 (c) 41 (d) 51
  5. 5.The mean of 4 numbers is 16. When the number 1 is added to them, what is the new mean? (a) 16 (b) 13 (c) 12 (d) 14
  6. 6.What is the median of 13, 5, 24, 27 and 6? (a) 24 (b) 6 (c) 15 (d) 13
  7. 7.What is the mean of 11, 6, 13 and 2? (a) 8 (b) 7 (c) 9 (d) 10
  8. 8.What is the mean of 3, 18, 9, 10 and 15? (a) 12 (b) 10 (c) 13 (d) 11
  9. 9.What is the mode of 6, 16, 6, 2, 12, 12 and 12? (a) 2 (b) 12 (c) 6 (d) 16
  10. 10.What is the mean of 18, 3, 12, 4, 16 and 19? (a) 11 (b) 13 (c) 12 (d) 14
  11. 11.What is the median of 21, 33, 26, 37, 10, 39 and 16? (a) 21 (b) 37 (c) 26 (d) 33
  12. 12.What is the mode of 14, 3, 12, 14, 14, 2 and 3? (a) 3 (b) 2 (c) 12 (d) 14
  13. 13.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 10 (b) 15 (c) 14 (d) 13
  14. 14.What is the mean of 7, 8, 3, 6, 12 and 6? (a) 8 (b) 6 (c) 9 (d) 7
  15. 15.What is the median of 25, 37, 1, 35, 10, 27 and 21? (a) 27 (b) 35 (c) 21 (d) 25
  16. 16.What is the mode of 2, 3, 2, 3, 4, 14 and 2? (a) 4 (b) 3 (c) 14 (d) 2
  17. 17.The mean of 7 numbers is 40. When the number 24 is added to them, what is the new mean? (a) 32 (b) 38 (c) 40 (d) 39
  18. 18.What is the median of 35, 31, 20, 25, 6, 12 and 9? (a) 21 (b) 25 (c) 20 (d) 12
  19. 19.What is the mean of 5, 15, 14 and 22? (a) 14 (b) 13 (c) 15 (d) 16
  20. 20.The mean of 7 numbers is 33. When the number 49 is added to them, what is the new mean? (a) 41 (b) 33 (c) 36 (d) 35
  21. 21.What is the mean of 4, 13, 3, 7, 16 and 11? (a) 8 (b) 9 (c) 11 (d) 10
  22. 22.What is the median of 26, 33, 37, 38, 4, 39 and 13? (a) 33 (b) 26 (c) 38 (d) 37
  23. 23.What is the mode of 18, 8, 6, 12, 12, 6 and 12? (a) 8 (b) 12 (c) 18 (d) 6
  24. 24.What is the mean of 20, 7, 4 and 17? (a) 12 (b) 16 (c) 11 (d) 13
  25. 25.What is the mean of 3, 20, 11, 13, 17 and 8? (a) 11 (b) 14 (c) 12 (d) 13
  26. 26.What is the mean of 2, 4, 5, 13, 14 and 22? (a) 12 (b) 9 (c) 11 (d) 10
  27. 27.What is the mode of 6, 4, 4, 2, 5, 2 and 4? (a) 5 (b) 6 (c) 4 (d) 2
  28. 28.What is the mode of 18, 3, 3, 3, 6, 6 and 8? (a) 6 (b) 8 (c) 18 (d) 3
  29. 29.The mean of 7 numbers is 18. When the number 50 is added to them, what is the new mean? (a) 23 (b) 34 (c) 18 (d) 22
  30. 30.What is the mean of 5, 16, 2 and 13? (a) 9 (b) 10 (c) 8 (d) 12
  31. 31.What is the median of 30, 35, 13, 11 and 5? (a) 30 (b) 11 (c) 14 (d) 13
  32. 32.The mean of 9 numbers is 19. When the number 9 is added to them, what is the new mean? (a) 17 (b) 19 (c) 18 (d) 14
  33. 33.What is the mean of 5, 15, 7, 7, 17 and 21? (a) 14 (b) 12 (c) 13 (d) 11
  34. 34.What is the mode of 8, 10, 8, 17, 17, 8 and 1? (a) 17 (b) 1 (c) 8 (d) 10
  35. 35.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 32 (b) 34 (c) 35 (d) 33
  36. 36.What is the mode of 16, 17, 17, 2, 11, 16 and 16? (a) 11 (b) 2 (c) 17 (d) 16
  37. 37.What is the mean of 5, 17, 17 and 21? (a) 20 (b) 12 (c) 15 (d) 16
  38. 38.What is the median of 39, 26, 17, 13, 7, 32 and 29? (a) 13 (b) 29 (c) 26 (d) 17
  39. 39.What is the mean of 6, 15, 9, 15, 8 and 13? (a) 12 (b) 13 (c) 10 (d) 11
  40. 40.What is the mean of 11, 10, 12, 9, 2 and 16? (a) 11 (b) 12 (c) 10 (d) 9

Answer key

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

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