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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 866 · 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 5 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 27 (b) 23 (c) 29 (d) 28
  2. 2.The mean of 9 numbers is 25. When the number 45 is added to them, what is the new mean? (a) 28 (b) 35 (c) 25 (d) 27
  3. 3.What is the mode of 11, 18, 4, 2, 2, 11 and 2? (a) 4 (b) 18 (c) 11 (d) 2
  4. 4.The mean of 5 numbers is 26. When the number 32 is added to them, what is the new mean? (a) 26 (b) 29 (c) 27 (d) 28
  5. 5.What is the mode of 8, 11, 9, 5, 9, 8 and 8? (a) 9 (b) 11 (c) 5 (d) 8
  6. 6.What is the mode of 4, 8, 20, 11, 20, 4 and 20? (a) 11 (b) 4 (c) 20 (d) 8
  7. 7.The mean of 4 numbers is 25. When the number 40 is added to them, what is the new mean? (a) 29 (b) 25 (c) 27 (d) 28
  8. 8.What is the median of 2, 31, 11, 12, 14, 22 and 9? (a) 12 (b) 13 (c) 14 (d) 11
  9. 9.What is the mean of 2, 5, 15, 16, 12 and 22? (a) 11 (b) 13 (c) 14 (d) 12
  10. 10.What is the mode of 9, 13, 4, 4, 4, 9 and 19? (a) 9 (b) 19 (c) 4 (d) 13
  11. 11.What is the mode of 2, 2, 2, 3, 12, 5 and 12? (a) 3 (b) 12 (c) 5 (d) 2
  12. 12.What is the median of 15, 7, 1, 17 and 2? (a) 7 (b) 2 (c) 1 (d) 15
  13. 13.What is the median of 26, 2, 25, 8, 24, 14 and 7? (a) 14 (b) 15 (c) 24 (d) 8
  14. 14.What is the mean of 6, 19, 17, 2, 9 and 7? (a) 12 (b) 11 (c) 10 (d) 9
  15. 15.The mean of 5 numbers is 13. When the number 19 is added to them, what is the new mean? (a) 16 (b) 14 (c) 15 (d) 13
  16. 16.The mean of 4 numbers is 13. When the number 18 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 13
  17. 17.What is the mean of 13, 11, 3, 4 and 4? (a) 7 (b) 9 (c) 6 (d) 8
  18. 18.What is the mode of 5, 4, 3, 3, 8, 4 and 4? (a) 5 (b) 8 (c) 4 (d) 3
  19. 19.What is the mean of 16, 2, 18 and 4? (a) 11 (b) 9 (c) 10 (d) 8
  20. 20.What is the mode of 4, 11, 4, 4, 11, 10 and 5? (a) 4 (b) 11 (c) 10 (d) 5
  21. 21.What is the mode of 12, 12, 1, 1, 10, 12 and 6? (a) 1 (b) 10 (c) 6 (d) 12
  22. 22.What is the median of 32, 21, 12, 23, 22, 39 and 27? (a) 23 (b) 22 (c) 27 (d) 24
  23. 23.What is the mode of 19, 1, 1, 11, 11, 3 and 1? (a) 3 (b) 1 (c) 19 (d) 11
  24. 24.What is the mean of 7, 6, 7 and 20? (a) 11 (b) 8 (c) 9 (d) 10
  25. 25.The mean of 9 numbers is 32. When the number 52 is added to them, what is the new mean? (a) 35 (b) 42 (c) 34 (d) 32
  26. 26.What is the mean of 3, 17, 20 and 4? (a) 11 (b) 10 (c) 13 (d) 12
  27. 27.What is the mean of 19, 15, 6, 4, 15 and 13? (a) 12 (b) 13 (c) 11 (d) 14
  28. 28.What is the mean of 19, 8, 3, 16, 11 and 9? (a) 13 (b) 12 (c) 11 (d) 10
  29. 29.The mean of 4 numbers is 39. When the number 49 is added to them, what is the new mean? (a) 42 (b) 44 (c) 39 (d) 41
  30. 30.What is the mean of 6, 3, 6, 14, 16 and 15? (a) 12 (b) 11 (c) 9 (d) 10
  31. 31.What is the median of 14, 3, 40, 39, 1, 24 and 29? (a) 24 (b) 14 (c) 39 (d) 29
  32. 32.The mean of 6 numbers is 40. When the number 47 is added to them, what is the new mean? (a) 41 (b) 43 (c) 42 (d) 40
  33. 33.What is the mean of 9, 7, 9, 6, 17 and 12? (a) 10 (b) 12 (c) 9 (d) 11
  34. 34.The mean of 6 numbers is 17. When the number 45 is added to them, what is the new mean? (a) 21 (b) 31 (c) 17 (d) 22
  35. 35.The mean of 6 numbers is 13. When the number 20 is added to them, what is the new mean? (a) 15 (b) 16 (c) 14 (d) 13
  36. 36.What is the mode of 15, 15, 4, 14, 13, 4 and 4? (a) 15 (b) 4 (c) 13 (d) 14
  37. 37.The mean of 4 numbers is 22. When the number 42 is added to them, what is the new mean? (a) 22 (b) 32 (c) 27 (d) 26
  38. 38.What is the median of 2, 30, 5, 27 and 16? (a) 5 (b) 16 (c) 27 (d) 17
  39. 39.The mean of 5 numbers is 30. When the number 36 is added to them, what is the new mean? (a) 33 (b) 30 (c) 31 (d) 32
  40. 40.What is the mean of 2, 16, 2, 11 and 19? (a) 10 (b) 9 (c) 11 (d) 12

Answer key

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

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