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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 814 · 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 19, 5, 14, 10, 5, 5 and 14? (a) 14 (b) 10 (c) 5 (d) 19
  2. 2.What is the median of 15, 11, 3, 5 and 2? (a) 11 (b) 5 (c) 3 (d) 6
  3. 3.The mean of 3 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 13 (b) 16 (c) 15 (d) 17
  4. 4.What is the mode of 10, 10, 5, 5, 10, 2 and 1? (a) 1 (b) 10 (c) 2 (d) 5
  5. 5.What is the mean of 5, 13, 5 and 5? (a) 9 (b) 8 (c) 7 (d) 6
  6. 6.What is the mode of 15, 3, 6, 20, 6, 15 and 6? (a) 3 (b) 15 (c) 20 (d) 6
  7. 7.What is the mean of 2, 14, 15, 9, 19 and 19? (a) 15 (b) 14 (c) 12 (d) 13
  8. 8.What is the mean of 20, 11, 15, 2 and 12? (a) 15 (b) 10 (c) 12 (d) 13
  9. 9.What is the median of 22, 35, 13, 28, 17, 6 and 11? (a) 28 (b) 13 (c) 17 (d) 22
  10. 10.What is the mode of 15, 8, 2, 8, 15, 1 and 8? (a) 15 (b) 1 (c) 2 (d) 8
  11. 11.What is the mean of 4, 3, 4 and 5? (a) 3 (b) 5 (c) 6 (d) 4
  12. 12.The mean of 7 numbers is 26. When the number 34 is added to them, what is the new mean? (a) 30 (b) 28 (c) 26 (d) 27
  13. 13.The mean of 5 numbers is 37. When the number 43 is added to them, what is the new mean? (a) 40 (b) 39 (c) 38 (d) 37
  14. 14.The mean of 9 numbers is 28. When the number 48 is added to them, what is the new mean? (a) 31 (b) 38 (c) 30 (d) 28
  15. 15.What is the median of 8, 36, 7, 1 and 24? (a) 24 (b) 8 (c) 9 (d) 7
  16. 16.The mean of 7 numbers is 30. When the number 6 is added to them, what is the new mean? (a) 30 (b) 18 (c) 28 (d) 27
  17. 17.What is the median of 39, 20, 25, 30 and 10? (a) 26 (b) 30 (c) 25 (d) 20
  18. 18.What is the mean of 4, 11, 17, 8 and 10? (a) 9 (b) 11 (c) 10 (d) 12
  19. 19.What is the median of 38, 2, 31, 32 and 4? (a) 32 (b) 30 (c) 4 (d) 31
  20. 20.The mean of 6 numbers is 38. When the number 17 is added to them, what is the new mean? (a) 36 (b) 34 (c) 38 (d) 35
  21. 21.The mean of 5 numbers is 27. When the number 15 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 21
  22. 22.The mean of 4 numbers is 14. When the number 9 is added to them, what is the new mean? (a) 14 (b) 13 (c) 15 (d) 12
  23. 23.What is the mode of 13, 18, 2, 2, 18, 18 and 9? (a) 18 (b) 9 (c) 13 (d) 2
  24. 24.What is the median of 33, 18, 24, 29, 15, 34 and 4? (a) 24 (b) 25 (c) 18 (d) 29
  25. 25.What is the mean of 2, 6, 2, 14 and 16? (a) 9 (b) 10 (c) 7 (d) 8
  26. 26.What is the median of 11, 35, 19, 2 and 24? (a) 11 (b) 24 (c) 19 (d) 20
  27. 27.What is the median of 19, 30, 4, 9 and 11? (a) 19 (b) 9 (c) 4 (d) 11
  28. 28.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 26 (b) 24 (c) 23 (d) 25
  29. 29.What is the mean of 7, 10, 3, 19 and 6? (a) 11 (b) 10 (c) 8 (d) 9
  30. 30.What is the median of 34, 17, 23, 12 and 25? (a) 17 (b) 24 (c) 23 (d) 25
  31. 31.What is the mode of 15, 3, 13, 6, 3, 13 and 13? (a) 15 (b) 6 (c) 13 (d) 3
  32. 32.What is the mean of 3, 2, 10, 8, 6 and 13? (a) 8 (b) 9 (c) 7 (d) 6
  33. 33.What is the mode of 19, 2, 11, 2, 11, 10 and 11? (a) 2 (b) 11 (c) 19 (d) 10
  34. 34.What is the mean of 9, 18, 5, 2, 14 and 6? (a) 11 (b) 8 (c) 9 (d) 10
  35. 35.What is the median of 3, 19, 28, 36 and 33? (a) 33 (b) 19 (c) 29 (d) 28
  36. 36.What is the median of 21, 38, 13, 12 and 7? (a) 14 (b) 13 (c) 12 (d) 21
  37. 37.What is the mode of 5, 15, 5, 17, 15, 14 and 15? (a) 5 (b) 15 (c) 14 (d) 17
  38. 38.What is the mean of 4, 15, 20 and 9? (a) 16 (b) 12 (c) 13 (d) 11
  39. 39.What is the mode of 15, 8, 15, 15, 8, 1 and 16? (a) 8 (b) 15 (c) 16 (d) 1
  40. 40.What is the mean of 3, 16, 9, 11, 12 and 21? (a) 13 (b) 12 (c) 11 (d) 14

Answer key

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

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