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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 900 · 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, 15, 14, 15, 15 and 13? (a) 15 (b) 3 (c) 13 (d) 14
  2. 2.The mean of 3 numbers is 15. When the number 7 is added to them, what is the new mean? (a) 15 (b) 11 (c) 14 (d) 13
  3. 3.What is the median of 39, 17, 28, 35, 8, 9 and 26? (a) 35 (b) 17 (c) 26 (d) 28
  4. 4.What is the mode of 18, 20, 6, 18, 18, 20 and 5? (a) 18 (b) 5 (c) 20 (d) 6
  5. 5.What is the median of 23, 40, 37, 38, 2, 6 and 31? (a) 37 (b) 23 (c) 38 (d) 31
  6. 6.What is the mode of 15, 8, 15, 6, 18, 8 and 15? (a) 8 (b) 6 (c) 15 (d) 18
  7. 7.The mean of 5 numbers is 10. When the number 34 is added to them, what is the new mean? (a) 14 (b) 10 (c) 22 (d) 15
  8. 8.What is the mode of 10, 12, 17, 10, 11, 10 and 11? (a) 10 (b) 11 (c) 17 (d) 12
  9. 9.What is the mode of 12, 11, 12, 1, 1, 12 and 20? (a) 20 (b) 12 (c) 11 (d) 1
  10. 10.What is the mean of 10, 2, 16 and 12? (a) 8 (b) 10 (c) 9 (d) 11
  11. 11.What is the median of 9, 21, 13, 34 and 6? (a) 21 (b) 14 (c) 9 (d) 13
  12. 12.What is the mode of 13, 4, 4, 13, 11, 4 and 9? (a) 11 (b) 13 (c) 9 (d) 4
  13. 13.The mean of 3 numbers is 16. When the number 12 is added to them, what is the new mean? (a) 17 (b) 15 (c) 14 (d) 16
  14. 14.What is the mean of 7, 7, 17, 2, 16 and 11? (a) 12 (b) 9 (c) 11 (d) 10
  15. 15.What is the mode of 6, 9, 6, 14, 14, 19 and 14? (a) 6 (b) 9 (c) 19 (d) 14
  16. 16.The mean of 5 numbers is 36. When the number 48 is added to them, what is the new mean? (a) 42 (b) 39 (c) 36 (d) 38
  17. 17.What is the mode of 10, 8, 12, 4, 10, 4 and 4? (a) 8 (b) 4 (c) 10 (d) 12
  18. 18.The mean of 6 numbers is 28. When the number 14 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 21
  19. 19.What is the mean of 3, 4, 14 and 15? (a) 10 (b) 12 (c) 9 (d) 8
  20. 20.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 34 (b) 38 (c) 40 (d) 37
  21. 21.What is the mean of 5, 6, 15, 5, 6 and 5? (a) 9 (b) 7 (c) 8 (d) 6
  22. 22.What is the mode of 7, 8, 7, 2, 2, 7 and 11? (a) 11 (b) 7 (c) 8 (d) 2
  23. 23.What is the mean of 4, 2, 9, 7 and 18? (a) 10 (b) 8 (c) 7 (d) 9
  24. 24.What is the mode of 6, 15, 15, 6, 3, 1 and 6? (a) 3 (b) 15 (c) 1 (d) 6
  25. 25.What is the median of 19, 17, 38, 31 and 6? (a) 17 (b) 31 (c) 19 (d) 38
  26. 26.What is the mode of 5, 5, 19, 19, 5, 4 and 16? (a) 16 (b) 19 (c) 4 (d) 5
  27. 27.What is the mean of 8, 6, 12, 6 and 13? (a) 8 (b) 10 (c) 11 (d) 9
  28. 28.What is the mean of 18, 5, 6 and 19? (a) 13 (b) 12 (c) 16 (d) 11
  29. 29.What is the mean of 3, 15, 17, 16, 8 and 13? (a) 11 (b) 13 (c) 14 (d) 12
  30. 30.What is the median of 26, 15, 30, 33, 38, 13 and 27? (a) 27 (b) 26 (c) 30 (d) 33
  31. 31.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 41 (b) 38 (c) 47 (d) 40
  32. 32.What is the mean of 9, 3, 16, 19, 4 and 9? (a) 12 (b) 11 (c) 10 (d) 9
  33. 33.What is the mean of 13, 18, 15, 2 and 12? (a) 13 (b) 12 (c) 15 (d) 10
  34. 34.What is the mean of 2, 4, 10, 12 and 7? (a) 6 (b) 7 (c) 9 (d) 8
  35. 35.What is the mean of 18, 9, 17 and 8? (a) 15 (b) 14 (c) 12 (d) 13
  36. 36.What is the median of 22, 23, 20, 5 and 15? (a) 20 (b) 17 (c) 15 (d) 22
  37. 37.What is the mode of 9, 12, 12, 12, 7, 5 and 9? (a) 7 (b) 12 (c) 9 (d) 5
  38. 38.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 13 (b) 10 (c) 12 (d) 11
  39. 39.What is the mean of 3, 2, 19 and 16? (a) 9 (b) 10 (c) 11 (d) 8
  40. 40.What is the mode of 7, 13, 7, 1, 5, 5 and 7? (a) 13 (b) 7 (c) 1 (d) 5

Answer key

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

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