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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 564 · 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 32, 22, 16, 34 and 13? (a) 32 (b) 22 (c) 16 (d) 23
  2. 2.What is the mean of 3, 19, 10 and 8? (a) 11 (b) 10 (c) 8 (d) 9
  3. 3.What is the mean of 14, 7, 4, 20 and 15? (a) 15 (b) 12 (c) 10 (d) 13
  4. 4.What is the mode of 2, 20, 20, 20, 2, 5 and 1? (a) 20 (b) 5 (c) 1 (d) 2
  5. 5.What is the mean of 3, 18, 8, 9 and 17? (a) 13 (b) 11 (c) 12 (d) 10
  6. 6.What is the mode of 7, 13, 5, 5, 13, 5 and 15? (a) 15 (b) 7 (c) 5 (d) 13
  7. 7.What is the median of 12, 3, 15, 8, 10, 14 and 16? (a) 10 (b) 14 (c) 12 (d) 8
  8. 8.What is the mode of 15, 11, 18, 18, 15, 12 and 15? (a) 12 (b) 15 (c) 11 (d) 18
  9. 9.The mean of 5 numbers is 31. When the number 13 is added to them, what is the new mean? (a) 28 (b) 29 (c) 31 (d) 22
  10. 10.What is the mean of 11, 12, 6 and 19? (a) 13 (b) 12 (c) 11 (d) 16
  11. 11.The mean of 3 numbers is 32. When the number 36 is added to them, what is the new mean? (a) 35 (b) 34 (c) 32 (d) 33
  12. 12.What is the mean of 19, 4, 14, 8, 8 and 13? (a) 10 (b) 13 (c) 12 (d) 11
  13. 13.What is the mean of 8, 17, 12 and 7? (a) 13 (b) 12 (c) 10 (d) 11
  14. 14.The mean of 6 numbers is 15. When the number 22 is added to them, what is the new mean? (a) 16 (b) 17 (c) 15 (d) 18
  15. 15.What is the mode of 4, 4, 4, 6, 13, 2 and 2? (a) 6 (b) 13 (c) 4 (d) 2
  16. 16.What is the median of 12, 23, 10, 16, 11, 2 and 4? (a) 16 (b) 11 (c) 10 (d) 12
  17. 17.The mean of 8 numbers is 24. When the number 60 is added to them, what is the new mean? (a) 42 (b) 24 (c) 29 (d) 28
  18. 18.What is the median of 12, 4, 5, 11, 23, 20 and 22? (a) 13 (b) 12 (c) 20 (d) 11
  19. 19.What is the median of 28, 31, 5, 19 and 7? (a) 18 (b) 5 (c) 28 (d) 19
  20. 20.What is the median of 26, 32, 27, 23 and 25? (a) 25 (b) 27 (c) 28 (d) 26
  21. 21.The mean of 7 numbers is 31. When the number 7 is added to them, what is the new mean? (a) 29 (b) 19 (c) 31 (d) 28
  22. 22.What is the mean of 13, 10, 5 and 12? (a) 8 (b) 10 (c) 11 (d) 9
  23. 23.The mean of 3 numbers is 24. When the number 32 is added to them, what is the new mean? (a) 24 (b) 28 (c) 26 (d) 27
  24. 24.What is the mean of 11, 8, 5, 7 and 14? (a) 9 (b) 11 (c) 10 (d) 8
  25. 25.What is the mean of 6, 7, 12, 20 and 10? (a) 13 (b) 12 (c) 10 (d) 11
  26. 26.The mean of 3 numbers is 36. When the number 24 is added to them, what is the new mean? (a) 34 (b) 36 (c) 33 (d) 30
  27. 27.What is the mode of 19, 16, 17, 19, 17, 19 and 11? (a) 11 (b) 19 (c) 17 (d) 16
  28. 28.What is the mode of 4, 15, 4, 15, 4, 20 and 9? (a) 4 (b) 9 (c) 15 (d) 20
  29. 29.What is the mode of 1, 4, 2, 4, 13, 1 and 1? (a) 13 (b) 1 (c) 4 (d) 2
  30. 30.The mean of 3 numbers is 23. When the number 35 is added to them, what is the new mean? (a) 23 (b) 29 (c) 26 (d) 27
  31. 31.What is the mode of 20, 16, 20, 2, 17, 16 and 16? (a) 20 (b) 17 (c) 2 (d) 16
  32. 32.The mean of 3 numbers is 17. When the number 9 is added to them, what is the new mean? (a) 13 (b) 15 (c) 17 (d) 16
  33. 33.The mean of 6 numbers is 15. When the number 43 is added to them, what is the new mean? (a) 29 (b) 20 (c) 15 (d) 19
  34. 34.What is the median of 3, 38, 9, 32, 40, 16 and 14? (a) 14 (b) 32 (c) 17 (d) 16
  35. 35.What is the mode of 4, 17, 1, 4, 17, 13 and 4? (a) 13 (b) 1 (c) 17 (d) 4
  36. 36.The mean of 5 numbers is 38. When the number 50 is added to them, what is the new mean? (a) 40 (b) 38 (c) 41 (d) 44
  37. 37.What is the median of 9, 7, 29, 17 and 13? (a) 15 (b) 13 (c) 17 (d) 29
  38. 38.What is the mean of 2, 13, 6 and 19? (a) 9 (b) 10 (c) 8 (d) 11
  39. 39.What is the median of 3, 32, 25, 10, 17, 1 and 7? (a) 7 (b) 11 (c) 10 (d) 17
  40. 40.What is the median of 28, 26, 27, 36 and 22? (a) 28 (b) 29 (c) 27 (d) 26

Answer key

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

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