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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 355 · 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 6 numbers is 24. When the number 17 is added to them, what is the new mean? (a) 25 (b) 23 (c) 24 (d) 22
  2. 2.What is the mean of 13, 16, 8 and 15? (a) 13 (b) 15 (c) 12 (d) 14
  3. 3.What is the mean of 17, 8, 8 and 23? (a) 14 (b) 15 (c) 16 (d) 13
  4. 4.The mean of 6 numbers is 12. When the number 19 is added to them, what is the new mean? (a) 13 (b) 14 (c) 12 (d) 15
  5. 5.What is the median of 33, 7, 35, 22 and 29? (a) 35 (b) 33 (c) 29 (d) 22
  6. 6.What is the median of 2, 16, 19, 24, 5, 21 and 35? (a) 19 (b) 24 (c) 21 (d) 16
  7. 7.What is the mean of 9, 18, 7 and 14? (a) 13 (b) 12 (c) 11 (d) 16
  8. 8.The mean of 7 numbers is 10. When the number 26 is added to them, what is the new mean? (a) 10 (b) 12 (c) 18 (d) 13
  9. 9.What is the mean of 17, 18, 18, 3 and 4? (a) 10 (b) 15 (c) 12 (d) 13
  10. 10.What is the mean of 20, 17, 14, 2 and 17? (a) 13 (b) 15 (c) 16 (d) 14
  11. 11.What is the mean of 11, 5, 16, 16 and 17? (a) 12 (b) 15 (c) 13 (d) 14
  12. 12.What is the mean of 4, 4, 16 and 8? (a) 8 (b) 9 (c) 7 (d) 10
  13. 13.What is the mode of 2, 19, 7, 2, 6, 19 and 2? (a) 6 (b) 2 (c) 7 (d) 19
  14. 14.What is the mean of 2, 13, 15, 14 and 21? (a) 14 (b) 12 (c) 13 (d) 15
  15. 15.What is the median of 27, 22, 13, 6, 4, 17 and 2? (a) 17 (b) 14 (c) 6 (d) 13
  16. 16.What is the median of 12, 24, 27, 29 and 22? (a) 22 (b) 25 (c) 27 (d) 24
  17. 17.What is the mean of 19, 10, 10 and 21? (a) 12 (b) 15 (c) 20 (d) 16
  18. 18.What is the mode of 13, 10, 1, 10, 15, 10 and 13? (a) 15 (b) 10 (c) 13 (d) 1
  19. 19.The mean of 3 numbers is 32. When the number 44 is added to them, what is the new mean? (a) 32 (b) 36 (c) 35 (d) 38
  20. 20.What is the median of 17, 5, 9, 1 and 11? (a) 10 (b) 11 (c) 9 (d) 5
  21. 21.What is the mode of 4, 6, 6, 6, 4, 16 and 5? (a) 4 (b) 6 (c) 5 (d) 16
  22. 22.The mean of 9 numbers is 25. When the number 5 is added to them, what is the new mean? (a) 23 (b) 25 (c) 24 (d) 15
  23. 23.The mean of 5 numbers is 32. When the number 8 is added to them, what is the new mean? (a) 20 (b) 32 (c) 29 (d) 28
  24. 24.What is the median of 18, 37, 22, 28 and 17? (a) 18 (b) 22 (c) 28 (d) 23
  25. 25.What is the mean of 14, 3, 9, 15, 9 and 22? (a) 11 (b) 14 (c) 12 (d) 13
  26. 26.What is the mean of 15, 5, 3, 19 and 8? (a) 12 (b) 11 (c) 9 (d) 10
  27. 27.What is the median of 5, 39, 11, 9 and 16? (a) 11 (b) 12 (c) 16 (d) 9
  28. 28.What is the mean of 6, 8, 17, 5, 17 and 13? (a) 12 (b) 13 (c) 10 (d) 11
  29. 29.What is the mean of 9, 5, 15, 17, 14 and 12? (a) 12 (b) 11 (c) 14 (d) 13
  30. 30.The mean of 9 numbers is 32. When the number 22 is added to them, what is the new mean? (a) 31 (b) 32 (c) 27 (d) 30
  31. 31.What is the mode of 6, 19, 19, 6, 8, 6 and 2? (a) 8 (b) 6 (c) 19 (d) 2
  32. 32.What is the mean of 8, 10, 3 and 15? (a) 8 (b) 12 (c) 9 (d) 10
  33. 33.What is the mean of 2, 14, 5 and 19? (a) 9 (b) 8 (c) 10 (d) 11
  34. 34.What is the mean of 11, 20, 11, 13 and 15? (a) 14 (b) 16 (c) 15 (d) 13
  35. 35.What is the median of 17, 9, 18, 11, 36, 14 and 12? (a) 12 (b) 11 (c) 14 (d) 17
  36. 36.What is the mean of 6, 5, 16 and 5? (a) 10 (b) 8 (c) 9 (d) 7
  37. 37.What is the mean of 8, 6, 14, 14, 17 and 7? (a) 10 (b) 13 (c) 11 (d) 12
  38. 38.What is the mean of 14, 7, 6, 15 and 13? (a) 10 (b) 13 (c) 11 (d) 12
  39. 39.What is the median of 3, 17, 27, 6, 36, 32 and 1? (a) 18 (b) 17 (c) 6 (d) 27
  40. 40.What is the median of 11, 22, 28, 37, 6, 4 and 19? (a) 37 (b) 19 (c) 11 (d) 22

Answer key

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

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