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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 718 · 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 24. When the number 29 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 24
  2. 2.What is the median of 35, 24, 20, 12, 18, 28 and 31? (a) 20 (b) 12 (c) 28 (d) 24
  3. 3.What is the mean of 14, 19, 10 and 21? (a) 17 (b) 16 (c) 18 (d) 15
  4. 4.The mean of 8 numbers is 38. When the number 56 is added to them, what is the new mean? (a) 38 (b) 41 (c) 40 (d) 47
  5. 5.What is the median of 22, 39, 11, 10, 14, 27 and 33? (a) 10 (b) 27 (c) 14 (d) 22
  6. 6.What is the median of 7, 31, 3, 14, 18, 28 and 1? (a) 7 (b) 18 (c) 15 (d) 14
  7. 7.What is the median of 19, 18, 13, 27, 9, 16 and 21? (a) 18 (b) 19 (c) 16 (d) 27
  8. 8.What is the mode of 9, 13, 13, 14, 14, 3 and 14? (a) 9 (b) 3 (c) 13 (d) 14
  9. 9.What is the mean of 17, 6, 7, 4 and 6? (a) 9 (b) 8 (c) 7 (d) 10
  10. 10.The mean of 3 numbers is 12. When the number 4 is added to them, what is the new mean? (a) 10 (b) 12 (c) 8 (d) 11
  11. 11.What is the mean of 20, 10, 11 and 3? (a) 13 (b) 10 (c) 12 (d) 11
  12. 12.What is the mean of 5, 3, 18, 14, 7 and 13? (a) 11 (b) 12 (c) 10 (d) 9
  13. 13.What is the mode of 3, 11, 11, 3, 16, 3 and 13? (a) 11 (b) 16 (c) 13 (d) 3
  14. 14.What is the mean of 17, 2, 3, 11 and 12? (a) 10 (b) 11 (c) 8 (d) 9
  15. 15.What is the mean of 16, 2, 8, 16, 13 and 11? (a) 13 (b) 12 (c) 10 (d) 11
  16. 16.What is the mode of 9, 20, 18, 18, 9, 13 and 18? (a) 9 (b) 18 (c) 13 (d) 20
  17. 17.What is the mode of 11, 13, 1, 11, 11, 13 and 10? (a) 10 (b) 1 (c) 13 (d) 11
  18. 18.The mean of 8 numbers is 37. When the number 73 is added to them, what is the new mean? (a) 41 (b) 42 (c) 37 (d) 55
  19. 19.The mean of 9 numbers is 37. When the number 67 is added to them, what is the new mean? (a) 37 (b) 40 (c) 52 (d) 41
  20. 20.The mean of 7 numbers is 17. When the number 33 is added to them, what is the new mean? (a) 17 (b) 20 (c) 25 (d) 19
  21. 21.The mean of 8 numbers is 28. When the number 46 is added to them, what is the new mean? (a) 28 (b) 30 (c) 31 (d) 37
  22. 22.What is the mode of 18, 6, 9, 9, 1, 1 and 1? (a) 9 (b) 18 (c) 1 (d) 6
  23. 23.The mean of 5 numbers is 13. When the number 7 is added to them, what is the new mean? (a) 11 (b) 13 (c) 10 (d) 12
  24. 24.What is the mode of 20, 9, 6, 9, 2, 20 and 20? (a) 6 (b) 2 (c) 9 (d) 20
  25. 25.What is the mean of 10, 17, 4, 9 and 20? (a) 12 (b) 10 (c) 13 (d) 15
  26. 26.What is the mean of 3, 20, 3 and 18? (a) 11 (b) 13 (c) 12 (d) 10
  27. 27.The mean of 4 numbers is 22. When the number 37 is added to them, what is the new mean? (a) 26 (b) 24 (c) 25 (d) 22
  28. 28.What is the median of 4, 17, 35, 19, 38, 20 and 8? (a) 17 (b) 19 (c) 18 (d) 20
  29. 29.What is the mean of 11, 14, 8 and 11? (a) 11 (b) 10 (c) 12 (d) 13
  30. 30.What is the mode of 5, 4, 19, 16, 4, 19 and 4? (a) 19 (b) 16 (c) 5 (d) 4
  31. 31.What is the median of 30, 10, 32, 18 and 27? (a) 32 (b) 18 (c) 30 (d) 27
  32. 32.What is the mean of 6, 3, 12, 14 and 10? (a) 11 (b) 10 (c) 8 (d) 9
  33. 33.The mean of 4 numbers is 34. When the number 44 is added to them, what is the new mean? (a) 39 (b) 37 (c) 34 (d) 36
  34. 34.What is the median of 22, 19, 9, 37, 2, 39 and 6? (a) 22 (b) 19 (c) 37 (d) 9
  35. 35.What is the mean of 19, 14, 13, 11, 3 and 18? (a) 13 (b) 12 (c) 14 (d) 15
  36. 36.The mean of 6 numbers is 10. When the number 38 is added to them, what is the new mean? (a) 14 (b) 24 (c) 10 (d) 15
  37. 37.What is the median of 5, 25, 33, 22 and 6? (a) 25 (b) 22 (c) 33 (d) 6
  38. 38.The mean of 5 numbers is 27. When the number 33 is added to them, what is the new mean? (a) 27 (b) 28 (c) 29 (d) 30
  39. 39.What is the mean of 13, 3, 13, 5 and 11? (a) 9 (b) 11 (c) 10 (d) 8
  40. 40.What is the mean of 14, 16, 4, 2, 8 and 10? (a) 9 (b) 10 (c) 8 (d) 11

Answer key

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

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