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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 598 · 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 2, 5, 16, 2, 16, 7 and 16? (a) 7 (b) 5 (c) 2 (d) 16
  2. 2.The mean of 9 numbers is 35. When the number 65 is added to them, what is the new mean? (a) 35 (b) 38 (c) 50 (d) 39
  3. 3.What is the median of 7, 24, 4, 8, 34, 30 and 23? (a) 8 (b) 24 (c) 22 (d) 23
  4. 4.The mean of 4 numbers is 29. When the number 44 is added to them, what is the new mean? (a) 29 (b) 32 (c) 31 (d) 33
  5. 5.The mean of 4 numbers is 24. When the number 39 is added to them, what is the new mean? (a) 26 (b) 28 (c) 27 (d) 24
  6. 6.What is the mean of 12, 19, 14, 5, 9 and 19? (a) 12 (b) 15 (c) 14 (d) 13
  7. 7.What is the mean of 13, 3, 9 and 19? (a) 11 (b) 13 (c) 12 (d) 10
  8. 8.What is the mode of 14, 11, 19, 19, 11, 10 and 11? (a) 10 (b) 19 (c) 14 (d) 11
  9. 9.What is the mode of 9, 9, 6, 9, 5, 7 and 5? (a) 5 (b) 7 (c) 6 (d) 9
  10. 10.What is the mode of 8, 3, 18, 18, 11, 18 and 3? (a) 3 (b) 8 (c) 18 (d) 11
  11. 11.What is the mode of 13, 11, 17, 2, 13, 11 and 11? (a) 2 (b) 13 (c) 17 (d) 11
  12. 12.What is the mean of 4, 14, 6 and 12? (a) 9 (b) 12 (c) 10 (d) 8
  13. 13.What is the median of 30, 38, 37, 22, 2, 10 and 26? (a) 27 (b) 26 (c) 30 (d) 22
  14. 14.What is the median of 31, 13, 19, 18 and 35? (a) 31 (b) 18 (c) 20 (d) 19
  15. 15.What is the mean of 12, 4, 4 and 4? (a) 8 (b) 7 (c) 6 (d) 5
  16. 16.The mean of 6 numbers is 23. When the number 37 is added to them, what is the new mean? (a) 23 (b) 30 (c) 26 (d) 25
  17. 17.What is the mode of 10, 7, 20, 10, 17, 10 and 17? (a) 17 (b) 20 (c) 10 (d) 7
  18. 18.What is the mode of 7, 13, 6, 9, 7, 13 and 7? (a) 9 (b) 13 (c) 7 (d) 6
  19. 19.What is the median of 27, 35, 3, 18, 10, 31 and 13? (a) 27 (b) 18 (c) 13 (d) 19
  20. 20.What is the mean of 20, 16, 4, 15 and 20? (a) 16 (b) 17 (c) 14 (d) 15
  21. 21.What is the mean of 8, 16, 4, 7, 15 and 10? (a) 11 (b) 12 (c) 9 (d) 10
  22. 22.What is the median of 10, 11, 1, 7 and 12? (a) 10 (b) 1 (c) 7 (d) 11
  23. 23.What is the median of 5, 15, 19, 9, 37, 13 and 7? (a) 9 (b) 15 (c) 13 (d) 14
  24. 24.What is the mode of 7, 16, 3, 18, 18, 3 and 18? (a) 18 (b) 7 (c) 3 (d) 16
  25. 25.The mean of 4 numbers is 34. When the number 29 is added to them, what is the new mean? (a) 32 (b) 33 (c) 34 (d) 35
  26. 26.What is the mean of 11, 6, 5 and 10? (a) 8 (b) 9 (c) 10 (d) 7
  27. 27.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 38 (b) 37 (c) 36 (d) 39
  28. 28.What is the mean of 2, 2, 7 and 17? (a) 7 (b) 8 (c) 6 (d) 9
  29. 29.The mean of 5 numbers is 37. When the number 61 is added to them, what is the new mean? (a) 37 (b) 49 (c) 42 (d) 41
  30. 30.What is the median of 33, 2, 7, 21, 28, 29 and 16? (a) 21 (b) 28 (c) 16 (d) 22
  31. 31.What is the mean of 18, 5, 18, 11, 3 and 11? (a) 10 (b) 11 (c) 13 (d) 12
  32. 32.The mean of 9 numbers is 30. When the number 60 is added to them, what is the new mean? (a) 45 (b) 34 (c) 30 (d) 33
  33. 33.What is the mean of 7, 19, 5 and 5? (a) 9 (b) 10 (c) 12 (d) 8
  34. 34.What is the median of 12, 15, 16, 36 and 26? (a) 26 (b) 21 (c) 16 (d) 15
  35. 35.What is the median of 2, 16, 10, 17 and 31? (a) 15 (b) 16 (c) 10 (d) 17
  36. 36.The mean of 8 numbers is 24. When the number 15 is added to them, what is the new mean? (a) 23 (b) 22 (c) 25 (d) 24
  37. 37.The mean of 8 numbers is 27. When the number 9 is added to them, what is the new mean? (a) 18 (b) 27 (c) 26 (d) 25
  38. 38.What is the median of 25, 33, 40, 30, 32, 7 and 21? (a) 30 (b) 31 (c) 25 (d) 32
  39. 39.What is the mean of 11, 13, 6, 4 and 16? (a) 11 (b) 10 (c) 12 (d) 9
  40. 40.What is the mean of 8, 7, 5, 14, 9 and 11? (a) 9 (b) 11 (c) 8 (d) 10

Answer key

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

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