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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 844 · 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.The mean of 4 numbers is 39. When the number 44 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 40
  2. 2.What is the median of 33, 16, 37, 1, 21, 36 and 5? (a) 21 (b) 1 (c) 33 (d) 16
  3. 3.What is the median of 1, 18, 17, 10, 19, 2 and 34? (a) 10 (b) 18 (c) 16 (d) 17
  4. 4.The mean of 9 numbers is 15. When the number 55 is added to them, what is the new mean? (a) 35 (b) 15 (c) 19 (d) 20
  5. 5.What is the mode of 3, 5, 5, 15, 19, 3 and 5? (a) 3 (b) 5 (c) 19 (d) 15
  6. 6.What is the median of 24, 6, 23, 19 and 18? (a) 23 (b) 20 (c) 19 (d) 18
  7. 7.What is the mean of 5, 16, 6, 2 and 16? (a) 11 (b) 9 (c) 8 (d) 10
  8. 8.What is the median of 2, 24, 19, 10 and 35? (a) 18 (b) 24 (c) 10 (d) 19
  9. 9.What is the mode of 6, 4, 13, 6, 4, 3 and 4? (a) 6 (b) 13 (c) 3 (d) 4
  10. 10.What is the mean of 3, 2, 19 and 12? (a) 9 (b) 10 (c) 8 (d) 12
  11. 11.What is the mode of 6, 18, 3, 3, 7, 7 and 7? (a) 6 (b) 7 (c) 18 (d) 3
  12. 12.What is the median of 27, 8, 32, 18 and 2? (a) 18 (b) 32 (c) 27 (d) 8
  13. 13.What is the mode of 4, 12, 2, 12, 2, 20 and 12? (a) 2 (b) 4 (c) 20 (d) 12
  14. 14.What is the mean of 19, 13, 17, 16, 15 and 10? (a) 18 (b) 16 (c) 14 (d) 15
  15. 15.The mean of 7 numbers is 12. When the number 20 is added to them, what is the new mean? (a) 12 (b) 16 (c) 14 (d) 13
  16. 16.What is the mean of 13, 2, 15 and 10? (a) 8 (b) 9 (c) 10 (d) 11
  17. 17.What is the mode of 7, 7, 7, 6, 15, 6 and 13? (a) 6 (b) 13 (c) 15 (d) 7
  18. 18.What is the mean of 19, 5, 20 and 20? (a) 17 (b) 18 (c) 16 (d) 15
  19. 19.What is the mode of 4, 4, 3, 3, 11, 3 and 12? (a) 4 (b) 11 (c) 3 (d) 12
  20. 20.What is the mean of 6, 7, 8, 13, 3 and 5? (a) 7 (b) 6 (c) 8 (d) 9
  21. 21.The mean of 6 numbers is 33. When the number 19 is added to them, what is the new mean? (a) 32 (b) 26 (c) 31 (d) 33
  22. 22.What is the mean of 19, 16, 19, 6 and 15? (a) 16 (b) 17 (c) 14 (d) 15
  23. 23.What is the mean of 20, 6, 19 and 23? (a) 16 (b) 17 (c) 18 (d) 19
  24. 24.What is the median of 22, 11, 25, 2 and 21? (a) 25 (b) 22 (c) 21 (d) 11
  25. 25.The mean of 8 numbers is 18. When the number 36 is added to them, what is the new mean? (a) 20 (b) 18 (c) 21 (d) 27
  26. 26.What is the mode of 16, 2, 1, 19, 2, 1 and 2? (a) 2 (b) 1 (c) 16 (d) 19
  27. 27.What is the mode of 17, 13, 13, 2, 2, 1 and 2? (a) 17 (b) 1 (c) 2 (d) 13
  28. 28.What is the mean of 9, 18, 8, 3 and 17? (a) 10 (b) 13 (c) 12 (d) 11
  29. 29.The mean of 8 numbers is 36. When the number 63 is added to them, what is the new mean? (a) 38 (b) 39 (c) 40 (d) 36
  30. 30.What is the mode of 9, 9, 13, 14, 14, 9 and 15? (a) 15 (b) 13 (c) 14 (d) 9
  31. 31.The mean of 5 numbers is 35. When the number 47 is added to them, what is the new mean? (a) 38 (b) 37 (c) 41 (d) 35
  32. 32.What is the mean of 5, 7, 10, 12, 3 and 17? (a) 10 (b) 8 (c) 9 (d) 11
  33. 33.What is the mean of 19, 8, 14 and 11? (a) 14 (b) 13 (c) 12 (d) 15
  34. 34.The mean of 6 numbers is 39. When the number 53 is added to them, what is the new mean? (a) 42 (b) 39 (c) 41 (d) 46
  35. 35.What is the mean of 18, 10, 13 and 3? (a) 13 (b) 10 (c) 12 (d) 11
  36. 36.What is the median of 39, 4, 25, 1 and 33? (a) 4 (b) 25 (c) 26 (d) 33
  37. 37.What is the median of 31, 32, 8, 18, 38, 13 and 37? (a) 30 (b) 18 (c) 32 (d) 31
  38. 38.What is the mean of 18, 8, 4, 8 and 17? (a) 10 (b) 13 (c) 11 (d) 12
  39. 39.What is the mode of 1, 16, 1, 17, 16, 11 and 16? (a) 11 (b) 17 (c) 1 (d) 16
  40. 40.The mean of 5 numbers is 23. When the number 47 is added to them, what is the new mean? (a) 28 (b) 23 (c) 35 (d) 27

Answer key

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

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