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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 697 · 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 9 numbers is 16. When the number 6 is added to them, what is the new mean? (a) 11 (b) 15 (c) 16 (d) 14
  2. 2.What is the median of 22, 13, 31, 39, 2, 6 and 19? (a) 19 (b) 39 (c) 13 (d) 22
  3. 3.What is the median of 8, 13, 28, 26 and 40? (a) 13 (b) 28 (c) 23 (d) 26
  4. 4.What is the median of 26, 3, 22, 34 and 30? (a) 26 (b) 23 (c) 30 (d) 22
  5. 5.What is the mean of 5, 10, 14, 13 and 8? (a) 11 (b) 12 (c) 10 (d) 9
  6. 6.What is the mean of 19, 6, 5, 18 and 7? (a) 10 (b) 12 (c) 13 (d) 11
  7. 7.The mean of 8 numbers is 38. When the number 20 is added to them, what is the new mean? (a) 36 (b) 38 (c) 29 (d) 37
  8. 8.What is the median of 32, 25, 37, 1, 7, 6 and 28? (a) 7 (b) 1 (c) 25 (d) 28
  9. 9.What is the mean of 19, 6, 2 and 9? (a) 12 (b) 9 (c) 8 (d) 10
  10. 10.The mean of 3 numbers is 39. When the number 31 is added to them, what is the new mean? (a) 39 (b) 37 (c) 35 (d) 38
  11. 11.What is the median of 32, 30, 17, 26 and 37? (a) 26 (b) 17 (c) 30 (d) 32
  12. 12.What is the mean of 15, 10, 20, 8, 13 and 18? (a) 15 (b) 12 (c) 13 (d) 14
  13. 13.What is the mean of 11, 5, 19, 7, 3 and 15? (a) 9 (b) 11 (c) 12 (d) 10
  14. 14.The mean of 4 numbers is 20. When the number 40 is added to them, what is the new mean? (a) 25 (b) 20 (c) 30 (d) 24
  15. 15.The mean of 9 numbers is 27. When the number 47 is added to them, what is the new mean? (a) 30 (b) 37 (c) 27 (d) 29
  16. 16.What is the median of 24, 6, 37, 7 and 14? (a) 7 (b) 37 (c) 14 (d) 24
  17. 17.What is the mean of 14, 17, 6, 4 and 19? (a) 12 (b) 15 (c) 13 (d) 10
  18. 18.What is the median of 28, 24, 31, 35 and 17? (a) 27 (b) 24 (c) 28 (d) 31
  19. 19.The mean of 6 numbers is 26. When the number 54 is added to them, what is the new mean? (a) 31 (b) 40 (c) 30 (d) 26
  20. 20.What is the mean of 20, 15, 8 and 9? (a) 15 (b) 12 (c) 13 (d) 14
  21. 21.The mean of 5 numbers is 12. When the number 18 is added to them, what is the new mean? (a) 13 (b) 15 (c) 14 (d) 12
  22. 22.What is the median of 11, 10, 33, 16, 13, 34 and 5? (a) 13 (b) 14 (c) 16 (d) 11
  23. 23.The mean of 6 numbers is 30. When the number 37 is added to them, what is the new mean? (a) 31 (b) 30 (c) 32 (d) 33
  24. 24.What is the mode of 5, 20, 15, 19, 15, 19 and 19? (a) 19 (b) 15 (c) 20 (d) 5
  25. 25.What is the mode of 5, 9, 9, 15, 15, 9 and 11? (a) 11 (b) 5 (c) 15 (d) 9
  26. 26.What is the mean of 16, 7, 7, 17 and 13? (a) 13 (b) 15 (c) 10 (d) 12
  27. 27.What is the median of 25, 2, 12, 36, 9, 14 and 6? (a) 14 (b) 12 (c) 9 (d) 36
  28. 28.What is the median of 8, 31, 17, 25, 5, 14 and 11? (a) 17 (b) 25 (c) 14 (d) 11
  29. 29.What is the mode of 6, 4, 13, 3, 13, 13 and 6? (a) 6 (b) 13 (c) 3 (d) 4
  30. 30.What is the median of 7, 29, 15, 21, 10, 3 and 35? (a) 10 (b) 16 (c) 21 (d) 15
  31. 31.What is the mean of 16, 4, 20, 10 and 15? (a) 15 (b) 14 (c) 13 (d) 12
  32. 32.What is the mean of 14, 9, 20, 3, 14 and 18? (a) 12 (b) 14 (c) 15 (d) 13
  33. 33.What is the mode of 12, 13, 9, 12, 12, 14 and 14? (a) 9 (b) 14 (c) 13 (d) 12
  34. 34.What is the mode of 1, 12, 12, 1, 14, 1 and 19? (a) 14 (b) 19 (c) 12 (d) 1
  35. 35.The mean of 4 numbers is 36. When the number 51 is added to them, what is the new mean? (a) 39 (b) 36 (c) 38 (d) 40
  36. 36.What is the mean of 4, 18, 5, 18, 4 and 23? (a) 11 (b) 14 (c) 13 (d) 12
  37. 37.The mean of 9 numbers is 15. When the number 5 is added to them, what is the new mean? (a) 10 (b) 15 (c) 14 (d) 13
  38. 38.What is the mean of 17, 4, 20 and 15? (a) 14 (b) 13 (c) 16 (d) 15
  39. 39.The mean of 7 numbers is 18. When the number 34 is added to them, what is the new mean? (a) 18 (b) 21 (c) 20 (d) 26
  40. 40.The mean of 8 numbers is 27. When the number 18 is added to them, what is the new mean? (a) 25 (b) 27 (c) 26 (d) 28

Answer key

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

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