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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 722 · 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 1, 21, 25, 40, 16, 9 and 22? (a) 21 (b) 22 (c) 16 (d) 40
  2. 2.What is the mean of 17, 19, 7 and 17? (a) 20 (b) 15 (c) 12 (d) 16
  3. 3.The mean of 6 numbers is 11. When the number 4 is added to them, what is the new mean? (a) 11 (b) 10 (c) 9 (d) 12
  4. 4.What is the mean of 4, 13, 8, 13, 3 and 19? (a) 10 (b) 11 (c) 9 (d) 12
  5. 5.What is the mode of 2, 4, 3, 2, 13, 13 and 13? (a) 3 (b) 13 (c) 4 (d) 2
  6. 6.The mean of 9 numbers is 11. When the number 21 is added to them, what is the new mean? (a) 11 (b) 13 (c) 16 (d) 12
  7. 7.The mean of 7 numbers is 34. When the number 2 is added to them, what is the new mean? (a) 30 (b) 31 (c) 18 (d) 34
  8. 8.What is the median of 31, 18, 22, 10, 15, 11 and 24? (a) 18 (b) 10 (c) 22 (d) 15
  9. 9.What is the mean of 4, 20, 3 and 5? (a) 7 (b) 9 (c) 8 (d) 10
  10. 10.The mean of 3 numbers is 31. When the number 27 is added to them, what is the new mean? (a) 29 (b) 30 (c) 31 (d) 32
  11. 11.What is the mode of 3, 16, 12, 3, 12, 5 and 12? (a) 12 (b) 16 (c) 3 (d) 5
  12. 12.What is the mean of 6, 20, 4, 12 and 18? (a) 12 (b) 15 (c) 13 (d) 10
  13. 13.The mean of 4 numbers is 19. When the number 34 is added to them, what is the new mean? (a) 22 (b) 19 (c) 21 (d) 23
  14. 14.What is the median of 4, 14, 6, 18 and 28? (a) 15 (b) 6 (c) 18 (d) 14
  15. 15.What is the median of 14, 38, 20, 9, 33, 19 and 5? (a) 14 (b) 19 (c) 20 (d) 9
  16. 16.What is the median of 39, 18, 5, 37 and 2? (a) 5 (b) 18 (c) 37 (d) 19
  17. 17.What is the median of 27, 25, 37, 19, 4, 6 and 16? (a) 25 (b) 19 (c) 20 (d) 16
  18. 18.What is the median of 9, 34, 27, 36 and 33? (a) 27 (b) 33 (c) 32 (d) 34
  19. 19.What is the mean of 8, 10, 12, 5, 20 and 5? (a) 9 (b) 11 (c) 12 (d) 10
  20. 20.What is the mode of 18, 6, 10, 20, 18, 10 and 10? (a) 20 (b) 18 (c) 10 (d) 6
  21. 21.What is the mean of 17, 7, 4, 2, 6 and 6? (a) 7 (b) 6 (c) 8 (d) 9
  22. 22.What is the mean of 2, 4, 19, 3 and 12? (a) 10 (b) 7 (c) 8 (d) 9
  23. 23.What is the median of 38, 12, 39, 24, 34, 11 and 8? (a) 34 (b) 12 (c) 24 (d) 25
  24. 24.The mean of 9 numbers is 31. When the number 1 is added to them, what is the new mean? (a) 16 (b) 29 (c) 31 (d) 28
  25. 25.The mean of 6 numbers is 21. When the number 7 is added to them, what is the new mean? (a) 21 (b) 19 (c) 20 (d) 14
  26. 26.The mean of 6 numbers is 23. When the number 16 is added to them, what is the new mean? (a) 24 (b) 22 (c) 23 (d) 21
  27. 27.What is the median of 6, 25, 39, 33 and 12? (a) 25 (b) 33 (c) 39 (d) 23
  28. 28.What is the median of 1, 15, 10, 35, 13, 37 and 8? (a) 13 (b) 35 (c) 17 (d) 15
  29. 29.What is the median of 15, 35, 30, 11, 5, 25 and 28? (a) 11 (b) 28 (c) 25 (d) 15
  30. 30.What is the mean of 11, 11, 9 and 13? (a) 11 (b) 10 (c) 13 (d) 12
  31. 31.The mean of 7 numbers is 34. When the number 26 is added to them, what is the new mean? (a) 33 (b) 32 (c) 30 (d) 34
  32. 32.What is the mean of 2, 5, 20, 9, 12 and 18? (a) 13 (b) 12 (c) 11 (d) 10
  33. 33.What is the median of 14, 1, 21, 13 and 29? (a) 13 (b) 14 (c) 15 (d) 21
  34. 34.What is the mode of 11, 5, 4, 5, 5, 3 and 4? (a) 5 (b) 4 (c) 3 (d) 11
  35. 35.What is the median of 32, 5, 40, 25 and 37? (a) 32 (b) 37 (c) 25 (d) 40
  36. 36.What is the mode of 15, 11, 13, 7, 11, 11 and 7? (a) 13 (b) 7 (c) 15 (d) 11
  37. 37.What is the median of 4, 35, 25, 36 and 8? (a) 26 (b) 25 (c) 35 (d) 8
  38. 38.What is the mode of 2, 13, 16, 18, 13, 18 and 13? (a) 13 (b) 16 (c) 2 (d) 18
  39. 39.What is the mode of 19, 8, 4, 9, 19, 19 and 8? (a) 9 (b) 4 (c) 19 (d) 8
  40. 40.The mean of 4 numbers is 29. When the number 9 is added to them, what is the new mean? (a) 26 (b) 29 (c) 19 (d) 25

Answer key

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

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