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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 762 · 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 median of 27, 4, 22, 36 and 29? (a) 27 (b) 22 (c) 29 (d) 28
  2. 2.What is the mean of 10, 14, 2 and 18? (a) 13 (b) 10 (c) 11 (d) 12
  3. 3.What is the mean of 20, 18, 20 and 18? (a) 20 (b) 18 (c) 19 (d) 21
  4. 4.What is the mean of 14, 12, 10, 13, 13 and 16? (a) 15 (b) 12 (c) 14 (d) 13
  5. 5.The mean of 5 numbers is 20. When the number 8 is added to them, what is the new mean? (a) 19 (b) 20 (c) 14 (d) 18
  6. 6.What is the mean of 15, 4, 6 and 7? (a) 10 (b) 9 (c) 7 (d) 8
  7. 7.What is the mean of 2, 10, 16, 3, 7 and 22? (a) 9 (b) 11 (c) 12 (d) 10
  8. 8.The mean of 9 numbers is 24. When the number 4 is added to them, what is the new mean? (a) 14 (b) 24 (c) 23 (d) 22
  9. 9.The mean of 3 numbers is 28. When the number 24 is added to them, what is the new mean? (a) 29 (b) 26 (c) 28 (d) 27
  10. 10.What is the median of 23, 1, 18, 3 and 31? (a) 19 (b) 18 (c) 23 (d) 3
  11. 11.The mean of 6 numbers is 20. When the number 41 is added to them, what is the new mean? (a) 22 (b) 23 (c) 20 (d) 24
  12. 12.The mean of 5 numbers is 34. When the number 40 is added to them, what is the new mean? (a) 37 (b) 34 (c) 36 (d) 35
  13. 13.What is the median of 15, 7, 16, 39 and 13? (a) 13 (b) 16 (c) 15 (d) 18
  14. 14.What is the mode of 19, 2, 2, 13, 15, 2 and 15? (a) 2 (b) 19 (c) 15 (d) 13
  15. 15.What is the median of 3, 1, 9, 8 and 21? (a) 9 (b) 3 (c) 7 (d) 8
  16. 16.What is the median of 2, 33, 16, 14 and 31? (a) 16 (b) 17 (c) 31 (d) 14
  17. 17.What is the mean of 15, 18, 8 and 19? (a) 16 (b) 15 (c) 20 (d) 12
  18. 18.What is the median of 9, 30, 4, 23, 16, 35 and 36? (a) 24 (b) 30 (c) 23 (d) 16
  19. 19.What is the mean of 20, 8, 3, 9 and 15? (a) 11 (b) 12 (c) 13 (d) 10
  20. 20.The mean of 3 numbers is 14. When the number 18 is added to them, what is the new mean? (a) 14 (b) 16 (c) 17 (d) 15
  21. 21.What is the mode of 1, 1, 7, 2, 8, 1 and 8? (a) 7 (b) 2 (c) 1 (d) 8
  22. 22.What is the mean of 14, 20, 6, 8 and 12? (a) 13 (b) 15 (c) 10 (d) 12
  23. 23.The mean of 4 numbers is 38. When the number 33 is added to them, what is the new mean? (a) 37 (b) 36 (c) 38 (d) 39
  24. 24.What is the mean of 18, 18, 12, 20, 15 and 13? (a) 17 (b) 18 (c) 15 (d) 16
  25. 25.What is the mode of 3, 13, 2, 7, 3, 3 and 13? (a) 3 (b) 13 (c) 2 (d) 7
  26. 26.The mean of 4 numbers is 14. When the number 4 is added to them, what is the new mean? (a) 13 (b) 14 (c) 9 (d) 12
  27. 27.What is the median of 3, 21, 29, 31, 24, 16 and 5? (a) 31 (b) 16 (c) 24 (d) 21
  28. 28.What is the mode of 5, 4, 5, 15, 10, 10 and 10? (a) 5 (b) 4 (c) 15 (d) 10
  29. 29.What is the median of 18, 35, 7, 4, 23, 20 and 36? (a) 18 (b) 4 (c) 23 (d) 20
  30. 30.What is the mode of 16, 16, 10, 12, 1, 12 and 12? (a) 16 (b) 12 (c) 1 (d) 10
  31. 31.What is the mean of 2, 3, 3 and 8? (a) 5 (b) 3 (c) 6 (d) 4
  32. 32.What is the median of 28, 19, 11, 1, 39, 36 and 18? (a) 18 (b) 1 (c) 28 (d) 19
  33. 33.What is the mode of 2, 10, 19, 9, 19, 2 and 19? (a) 9 (b) 2 (c) 10 (d) 19
  34. 34.The mean of 3 numbers is 12. When the number 16 is added to them, what is the new mean? (a) 15 (b) 14 (c) 12 (d) 13
  35. 35.What is the mean of 13, 11, 4, 17, 19 and 8? (a) 13 (b) 11 (c) 14 (d) 12
  36. 36.What is the mean of 3, 19, 8 and 18? (a) 13 (b) 16 (c) 12 (d) 11
  37. 37.What is the mean of 12, 10, 8 and 14? (a) 10 (b) 13 (c) 11 (d) 12
  38. 38.What is the median of 2, 5, 23, 31, 38, 14 and 21? (a) 21 (b) 31 (c) 14 (d) 23
  39. 39.What is the median of 2, 25, 13, 40, 17, 9 and 22? (a) 13 (b) 17 (c) 40 (d) 22
  40. 40.The mean of 3 numbers is 15. When the number 23 is added to them, what is the new mean? (a) 15 (b) 18 (c) 19 (d) 17

Answer key

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

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