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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 642 · 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.What is the mean of 7, 18, 8, 15, 11 and 13? (a) 13 (b) 12 (c) 11 (d) 14
  2. 2.The mean of 4 numbers is 12. When the number 17 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 13
  3. 3.What is the mode of 11, 11, 15, 12, 1, 11 and 15? (a) 1 (b) 11 (c) 12 (d) 15
  4. 4.What is the mode of 19, 12, 8, 16, 16, 19 and 16? (a) 19 (b) 16 (c) 12 (d) 8
  5. 5.What is the mode of 16, 9, 6, 6, 16, 16 and 10? (a) 6 (b) 10 (c) 9 (d) 16
  6. 6.What is the mean of 11, 7, 10, 8, 18 and 12? (a) 12 (b) 11 (c) 13 (d) 10
  7. 7.What is the mode of 2, 2, 16, 7, 16, 11 and 16? (a) 11 (b) 16 (c) 2 (d) 7
  8. 8.What is the mean of 7, 9, 10, 20, 8 and 12? (a) 11 (b) 13 (c) 10 (d) 12
  9. 9.What is the mean of 13, 20, 19, 4 and 14? (a) 15 (b) 14 (c) 16 (d) 13
  10. 10.The mean of 5 numbers is 31. When the number 19 is added to them, what is the new mean? (a) 25 (b) 31 (c) 29 (d) 30
  11. 11.What is the median of 11, 28, 29, 5 and 12? (a) 28 (b) 12 (c) 29 (d) 17
  12. 12.The mean of 8 numbers is 39. When the number 12 is added to them, what is the new mean? (a) 36 (b) 35 (c) 37 (d) 39
  13. 13.What is the mode of 15, 11, 15, 11, 10, 7 and 15? (a) 7 (b) 10 (c) 15 (d) 11
  14. 14.What is the mean of 16, 18, 19, 2, 4 and 19? (a) 12 (b) 15 (c) 13 (d) 14
  15. 15.The mean of 4 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 15 (b) 12 (c) 17 (d) 16
  16. 16.What is the median of 30, 7, 21, 5 and 18? (a) 7 (b) 18 (c) 21 (d) 19
  17. 17.What is the mean of 18, 6, 11, 11 and 14? (a) 10 (b) 13 (c) 15 (d) 12
  18. 18.What is the mode of 20, 4, 2, 2, 20, 6 and 2? (a) 4 (b) 20 (c) 2 (d) 6
  19. 19.The mean of 8 numbers is 18. When the number 9 is added to them, what is the new mean? (a) 18 (b) 17 (c) 19 (d) 16
  20. 20.What is the mode of 5, 5, 1, 5, 20, 1 and 2? (a) 2 (b) 20 (c) 5 (d) 1
  21. 21.What is the mean of 7, 7, 18, 13 and 5? (a) 11 (b) 9 (c) 12 (d) 10
  22. 22.What is the median of 14, 8, 30, 39, 7, 25 and 9? (a) 39 (b) 9 (c) 25 (d) 14
  23. 23.The mean of 3 numbers is 16. When the number 20 is added to them, what is the new mean? (a) 18 (b) 16 (c) 17 (d) 19
  24. 24.What is the mean of 7, 4, 11 and 14? (a) 10 (b) 9 (c) 12 (d) 8
  25. 25.What is the median of 20, 11, 21, 23 and 9? (a) 19 (b) 11 (c) 20 (d) 21
  26. 26.What is the median of 1, 26, 20, 21 and 15? (a) 21 (b) 19 (c) 15 (d) 20
  27. 27.What is the mean of 8, 4, 12, 5, 18 and 7? (a) 9 (b) 8 (c) 10 (d) 11
  28. 28.What is the mean of 10, 2, 16 and 12? (a) 9 (b) 11 (c) 10 (d) 8
  29. 29.The mean of 3 numbers is 27. When the number 39 is added to them, what is the new mean? (a) 31 (b) 27 (c) 30 (d) 33
  30. 30.What is the mode of 15, 14, 16, 18, 15, 16 and 15? (a) 16 (b) 18 (c) 15 (d) 14
  31. 31.What is the mode of 8, 15, 9, 8, 9, 18 and 9? (a) 15 (b) 9 (c) 18 (d) 8
  32. 32.What is the mean of 11, 17, 3 and 5? (a) 12 (b) 10 (c) 9 (d) 8
  33. 33.What is the median of 9, 11, 38, 8 and 3? (a) 11 (b) 9 (c) 8 (d) 38
  34. 34.The mean of 7 numbers is 14. When the number 38 is added to them, what is the new mean? (a) 14 (b) 26 (c) 18 (d) 17
  35. 35.What is the mean of 16, 19, 6, 16, 20 and 13? (a) 18 (b) 16 (c) 15 (d) 14
  36. 36.The mean of 7 numbers is 38. When the number 6 is added to them, what is the new mean? (a) 38 (b) 22 (c) 35 (d) 34
  37. 37.What is the median of 1, 35, 13, 2, 36, 5 and 3? (a) 2 (b) 5 (c) 13 (d) 3
  38. 38.The mean of 4 numbers is 25. When the number 20 is added to them, what is the new mean? (a) 26 (b) 23 (c) 25 (d) 24
  39. 39.What is the mode of 15, 2, 16, 10, 16, 10 and 10? (a) 10 (b) 2 (c) 16 (d) 15
  40. 40.The mean of 6 numbers is 27. When the number 55 is added to them, what is the new mean? (a) 32 (b) 31 (c) 27 (d) 41

Answer key

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

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