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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 395 · 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 16. When the number 26 is added to them, what is the new mean? (a) 21 (b) 18 (c) 16 (d) 19
  2. 2.The mean of 5 numbers is 14. When the number 26 is added to them, what is the new mean? (a) 20 (b) 14 (c) 17 (d) 16
  3. 3.What is the median of 4, 14, 3, 19, 27, 11 and 13? (a) 14 (b) 19 (c) 11 (d) 13
  4. 4.The mean of 4 numbers is 33. When the number 18 is added to them, what is the new mean? (a) 30 (b) 33 (c) 29 (d) 31
  5. 5.What is the mean of 12, 9, 7 and 16? (a) 10 (b) 12 (c) 11 (d) 13
  6. 6.What is the median of 33, 17, 32, 13 and 37? (a) 32 (b) 33 (c) 31 (d) 17
  7. 7.What is the mode of 15, 16, 16, 7, 6, 6 and 16? (a) 6 (b) 15 (c) 16 (d) 7
  8. 8.What is the mean of 5, 18, 19, 2, 7 and 15? (a) 12 (b) 11 (c) 13 (d) 10
  9. 9.What is the mean of 13, 4, 9, 7, 8 and 19? (a) 12 (b) 11 (c) 10 (d) 9
  10. 10.What is the mean of 15, 20, 14, 17, 2 and 22? (a) 18 (b) 16 (c) 15 (d) 14
  11. 11.What is the mean of 15, 4, 4, 17 and 5? (a) 8 (b) 11 (c) 9 (d) 10
  12. 12.The mean of 5 numbers is 24. When the number 30 is added to them, what is the new mean? (a) 27 (b) 25 (c) 26 (d) 24
  13. 13.What is the mean of 5, 19, 8 and 20? (a) 14 (b) 13 (c) 12 (d) 15
  14. 14.What is the mode of 10, 1, 1, 7, 9, 9 and 9? (a) 1 (b) 10 (c) 7 (d) 9
  15. 15.What is the mode of 16, 16, 8, 15, 8, 8 and 18? (a) 15 (b) 8 (c) 18 (d) 16
  16. 16.What is the mean of 2, 7, 11, 16, 5 and 19? (a) 9 (b) 12 (c) 10 (d) 11
  17. 17.What is the mode of 1, 5, 5, 5, 11, 20 and 11? (a) 5 (b) 20 (c) 1 (d) 11
  18. 18.What is the mode of 16, 4, 17, 4, 9, 17 and 4? (a) 16 (b) 17 (c) 4 (d) 9
  19. 19.What is the mean of 5, 9, 20, 11, 2 and 7? (a) 8 (b) 11 (c) 9 (d) 10
  20. 20.What is the median of 12, 28, 26, 35, 9, 8 and 13? (a) 26 (b) 12 (c) 13 (d) 35
  21. 21.What is the mean of 12, 12, 14, 4, 9 and 3? (a) 9 (b) 8 (c) 11 (d) 10
  22. 22.The mean of 3 numbers is 16. When the number 24 is added to them, what is the new mean? (a) 19 (b) 16 (c) 20 (d) 18
  23. 23.What is the mode of 13, 17, 17, 12, 18, 18 and 17? (a) 17 (b) 12 (c) 18 (d) 13
  24. 24.What is the median of 34, 18, 31, 23 and 15? (a) 31 (b) 18 (c) 24 (d) 23
  25. 25.The mean of 6 numbers is 30. When the number 2 is added to them, what is the new mean? (a) 26 (b) 27 (c) 16 (d) 30
  26. 26.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 17 (b) 15 (c) 18 (d) 16
  27. 27.The mean of 6 numbers is 10. When the number 17 is added to them, what is the new mean? (a) 10 (b) 11 (c) 13 (d) 12
  28. 28.What is the mode of 19, 19, 5, 12, 2, 19 and 12? (a) 2 (b) 19 (c) 12 (d) 5
  29. 29.What is the mean of 18, 3, 18 and 5? (a) 12 (b) 11 (c) 13 (d) 10
  30. 30.The mean of 6 numbers is 11. When the number 18 is added to them, what is the new mean? (a) 11 (b) 12 (c) 13 (d) 14
  31. 31.What is the mean of 16, 10, 3 and 15? (a) 10 (b) 12 (c) 11 (d) 13
  32. 32.What is the median of 24, 13, 36, 20, 1, 9 and 4? (a) 14 (b) 13 (c) 20 (d) 9
  33. 33.What is the mode of 11, 16, 11, 16, 5, 14 and 11? (a) 16 (b) 5 (c) 14 (d) 11
  34. 34.What is the mean of 3, 12, 4, 18, 12 and 17? (a) 11 (b) 13 (c) 12 (d) 10
  35. 35.What is the median of 40, 3, 37, 13 and 18? (a) 37 (b) 19 (c) 13 (d) 18
  36. 36.What is the mean of 17, 2, 9, 13 and 9? (a) 10 (b) 9 (c) 11 (d) 12
  37. 37.What is the median of 6, 23, 35, 13, 21, 11 and 8? (a) 21 (b) 11 (c) 14 (d) 13
  38. 38.The mean of 7 numbers is 33. When the number 9 is added to them, what is the new mean? (a) 30 (b) 21 (c) 33 (d) 31
  39. 39.The mean of 6 numbers is 35. When the number 49 is added to them, what is the new mean? (a) 35 (b) 37 (c) 42 (d) 38
  40. 40.What is the mean of 7, 16, 7 and 14? (a) 10 (b) 12 (c) 11 (d) 13

Answer key

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

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