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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 176 · 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 9 numbers is 33. When the number 43 is added to them, what is the new mean? (a) 35 (b) 38 (c) 33 (d) 34
  2. 2.What is the mode of 7, 4, 7, 2, 4, 7 and 6? (a) 4 (b) 6 (c) 2 (d) 7
  3. 3.What is the median of 1, 3, 31, 16 and 2? (a) 31 (b) 3 (c) 2 (d) 16
  4. 4.What is the mean of 20, 11, 12, 3, 9 and 11? (a) 10 (b) 11 (c) 12 (d) 13
  5. 5.The mean of 4 numbers is 38. When the number 43 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 39
  6. 6.What is the mode of 5, 20, 5, 4, 4, 16 and 4? (a) 16 (b) 4 (c) 20 (d) 5
  7. 7.What is the median of 4, 35, 23, 27 and 17? (a) 27 (b) 17 (c) 23 (d) 24
  8. 8.What is the mean of 3, 8, 17, 4, 10 and 18? (a) 10 (b) 11 (c) 9 (d) 12
  9. 9.What is the mean of 4, 19, 9 and 12? (a) 10 (b) 13 (c) 12 (d) 11
  10. 10.What is the mean of 8, 9, 18, 13 and 7? (a) 12 (b) 11 (c) 13 (d) 10
  11. 11.What is the mode of 8, 9, 9, 4, 8, 2 and 8? (a) 8 (b) 4 (c) 9 (d) 2
  12. 12.What is the mean of 8, 3, 4, 9 and 21? (a) 8 (b) 9 (c) 11 (d) 10
  13. 13.The mean of 8 numbers is 40. When the number 67 is added to them, what is the new mean? (a) 44 (b) 40 (c) 43 (d) 42
  14. 14.What is the median of 37, 3, 11, 9 and 27? (a) 12 (b) 27 (c) 9 (d) 11
  15. 15.The mean of 6 numbers is 37. When the number 44 is added to them, what is the new mean? (a) 38 (b) 40 (c) 37 (d) 39
  16. 16.What is the mode of 3, 5, 18, 5, 18, 18 and 11? (a) 5 (b) 11 (c) 18 (d) 3
  17. 17.What is the mode of 10, 8, 4, 10, 11, 4 and 10? (a) 4 (b) 8 (c) 11 (d) 10
  18. 18.What is the mean of 15, 3, 17 and 9? (a) 11 (b) 10 (c) 12 (d) 13
  19. 19.The mean of 4 numbers is 12. When the number 7 is added to them, what is the new mean? (a) 12 (b) 13 (c) 10 (d) 11
  20. 20.The mean of 9 numbers is 30. When the number 60 is added to them, what is the new mean? (a) 45 (b) 33 (c) 34 (d) 30
  21. 21.The mean of 9 numbers is 10. When the number 50 is added to them, what is the new mean? (a) 10 (b) 14 (c) 30 (d) 15
  22. 22.The mean of 3 numbers is 11. When the number 3 is added to them, what is the new mean? (a) 9 (b) 11 (c) 10 (d) 7
  23. 23.What is the mode of 18, 1, 18, 1, 12, 18 and 3? (a) 3 (b) 1 (c) 18 (d) 12
  24. 24.What is the mean of 4, 16, 20, 12 and 18? (a) 15 (b) 14 (c) 16 (d) 13
  25. 25.The mean of 5 numbers is 30. When the number 42 is added to them, what is the new mean? (a) 36 (b) 30 (c) 32 (d) 33
  26. 26.What is the mean of 13, 11, 7, 9 and 5? (a) 8 (b) 10 (c) 9 (d) 11
  27. 27.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 33 (b) 31 (c) 32 (d) 30
  28. 28.What is the mean of 16, 3, 2, 11, 6 and 16? (a) 10 (b) 8 (c) 9 (d) 11
  29. 29.What is the mean of 15, 20, 5, 13 and 17? (a) 15 (b) 13 (c) 16 (d) 14
  30. 30.What is the mode of 14, 13, 20, 14, 13, 6 and 14? (a) 20 (b) 6 (c) 13 (d) 14
  31. 31.The mean of 6 numbers is 34. When the number 6 is added to them, what is the new mean? (a) 34 (b) 31 (c) 30 (d) 20
  32. 32.What is the mean of 4, 5, 12 and 7? (a) 6 (b) 9 (c) 8 (d) 7
  33. 33.What is the mean of 4, 11, 11, 2 and 7? (a) 6 (b) 9 (c) 8 (d) 7
  34. 34.What is the mode of 6, 4, 18, 4, 15, 4 and 15? (a) 18 (b) 4 (c) 6 (d) 15
  35. 35.The mean of 9 numbers is 18. When the number 38 is added to them, what is the new mean? (a) 20 (b) 21 (c) 18 (d) 28
  36. 36.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 17
  37. 37.What is the median of 18, 16, 1, 4, 21, 7 and 26? (a) 16 (b) 18 (c) 7 (d) 4
  38. 38.What is the mean of 5, 4, 9, 7, 7 and 22? (a) 10 (b) 11 (c) 8 (d) 9
  39. 39.What is the mode of 13, 15, 7, 13, 15, 17 and 15? (a) 13 (b) 15 (c) 7 (d) 17
  40. 40.What is the mean of 5, 5, 14, 3 and 8? (a) 6 (b) 9 (c) 7 (d) 8

Answer key

  1. 34
  2. 7
  3. 3
  4. 11
  5. 39
  6. 4
  7. 23
  8. 10
  9. 11
  10. 11
  11. 8
  12. 9
  13. 43
  14. 11
  15. 38
  16. 18
  17. 10
  18. 11
  19. 11
  20. 33
  21. 14
  22. 9
  23. 18
  24. 14
  25. 32
  26. 9
  27. 31
  28. 9
  29. 14
  30. 14
  31. 30
  32. 7
  33. 7
  34. 4
  35. 20
  36. 15
  37. 16
  38. 9
  39. 15
  40. 7

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