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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 42 · 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 17. When the number 27 is added to them, what is the new mean? (a) 19 (b) 20 (c) 22 (d) 17
  2. 2.What is the mean of 17, 7, 2, 5 and 9? (a) 10 (b) 9 (c) 8 (d) 7
  3. 3.What is the mode of 5, 5, 2, 3, 4, 4 and 5? (a) 5 (b) 2 (c) 4 (d) 3
  4. 4.The mean of 9 numbers is 16. When the number 56 is added to them, what is the new mean? (a) 36 (b) 20 (c) 16 (d) 21
  5. 5.What is the mean of 4, 18, 6 and 12? (a) 9 (b) 8 (c) 11 (d) 10
  6. 6.The mean of 9 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 13 (b) 14 (c) 9 (d) 12
  7. 7.What is the mode of 19, 16, 16, 1, 19, 19 and 5? (a) 16 (b) 5 (c) 19 (d) 1
  8. 8.The mean of 3 numbers is 34. When the number 46 is added to them, what is the new mean? (a) 38 (b) 37 (c) 34 (d) 40
  9. 9.What is the median of 15, 25, 1, 14, 20, 36 and 29? (a) 20 (b) 25 (c) 15 (d) 14
  10. 10.The mean of 7 numbers is 13. When the number 21 is added to them, what is the new mean? (a) 13 (b) 14 (c) 17 (d) 15
  11. 11.The mean of 3 numbers is 20. When the number 24 is added to them, what is the new mean? (a) 21 (b) 23 (c) 22 (d) 20
  12. 12.The mean of 7 numbers is 19. When the number 27 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 23
  13. 13.What is the mean of 13, 18, 6, 18, 16 and 13? (a) 14 (b) 13 (c) 15 (d) 12
  14. 14.The mean of 6 numbers is 27. When the number 20 is added to them, what is the new mean? (a) 27 (b) 26 (c) 28 (d) 25
  15. 15.What is the mean of 10, 12, 2, 10, 8 and 6? (a) 9 (b) 10 (c) 7 (d) 8
  16. 16.What is the median of 35, 8, 21, 31 and 5? (a) 20 (b) 8 (c) 21 (d) 31
  17. 17.What is the median of 10, 11, 23, 27, 37, 4 and 39? (a) 23 (b) 24 (c) 11 (d) 27
  18. 18.What is the mean of 11, 2, 5 and 6? (a) 8 (b) 7 (c) 6 (d) 5
  19. 19.The mean of 4 numbers is 14. When the number 34 is added to them, what is the new mean? (a) 14 (b) 24 (c) 18 (d) 19
  20. 20.The mean of 5 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 26 (b) 29 (c) 25 (d) 23
  21. 21.The mean of 4 numbers is 32. When the number 17 is added to them, what is the new mean? (a) 32 (b) 28 (c) 30 (d) 29
  22. 22.What is the mean of 10, 20, 8, 20, 7 and 25? (a) 14 (b) 15 (c) 16 (d) 18
  23. 23.The mean of 4 numbers is 12. When the number 32 is added to them, what is the new mean? (a) 12 (b) 16 (c) 17 (d) 22
  24. 24.What is the mean of 7, 10, 7, 20 and 11? (a) 13 (b) 10 (c) 12 (d) 11
  25. 25.What is the mean of 3, 19, 8, 2 and 8? (a) 10 (b) 8 (c) 7 (d) 9
  26. 26.What is the mode of 4, 15, 15, 7, 14, 4 and 4? (a) 15 (b) 4 (c) 14 (d) 7
  27. 27.What is the mean of 12, 13, 6, 12 and 12? (a) 10 (b) 12 (c) 11 (d) 13
  28. 28.What is the mean of 8, 9, 7, 20 and 21? (a) 15 (b) 13 (c) 14 (d) 12
  29. 29.The mean of 5 numbers is 27. When the number 21 is added to them, what is the new mean? (a) 26 (b) 27 (c) 25 (d) 24
  30. 30.What is the mean of 9, 14, 16, 7 and 9? (a) 11 (b) 13 (c) 10 (d) 12
  31. 31.What is the mean of 19, 9, 19 and 5? (a) 13 (b) 14 (c) 15 (d) 12
  32. 32.What is the median of 22, 3, 7, 39, 4, 35 and 6? (a) 39 (b) 6 (c) 22 (d) 7
  33. 33.What is the mean of 18, 7, 15, 18, 5 and 15? (a) 14 (b) 13 (c) 12 (d) 15
  34. 34.What is the mode of 20, 19, 20, 16, 3, 3 and 20? (a) 3 (b) 16 (c) 20 (d) 19
  35. 35.What is the mode of 4, 15, 19, 19, 4, 4 and 9? (a) 19 (b) 15 (c) 9 (d) 4
  36. 36.What is the median of 22, 3, 30, 11 and 10? (a) 22 (b) 11 (c) 10 (d) 30
  37. 37.The mean of 9 numbers is 33. When the number 73 is added to them, what is the new mean? (a) 38 (b) 37 (c) 33 (d) 53
  38. 38.What is the mode of 9, 17, 5, 17, 15, 9 and 17? (a) 5 (b) 17 (c) 15 (d) 9
  39. 39.What is the mean of 2, 12, 2 and 12? (a) 9 (b) 8 (c) 7 (d) 6
  40. 40.What is the mode of 2, 13, 13, 4, 20, 4 and 4? (a) 20 (b) 4 (c) 13 (d) 2

Answer key

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

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