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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 103 · 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 34. When the number 4 is added to them, what is the new mean? (a) 32 (b) 31 (c) 34 (d) 19
  2. 2.What is the median of 40, 5, 12, 24 and 39? (a) 39 (b) 12 (c) 25 (d) 24
  3. 3.What is the median of 10, 31, 18, 20 and 38? (a) 21 (b) 18 (c) 31 (d) 20
  4. 4.What is the median of 31, 27, 26, 9 and 30? (a) 30 (b) 27 (c) 26 (d) 28
  5. 5.The mean of 8 numbers is 30. When the number 39 is added to them, what is the new mean? (a) 32 (b) 30 (c) 33 (d) 31
  6. 6.What is the mode of 13, 5, 14, 10, 13, 13 and 14? (a) 10 (b) 13 (c) 5 (d) 14
  7. 7.The mean of 4 numbers is 16. When the number 26 is added to them, what is the new mean? (a) 21 (b) 19 (c) 16 (d) 18
  8. 8.What is the mode of 2, 6, 2, 2, 6, 13 and 16? (a) 6 (b) 13 (c) 16 (d) 2
  9. 9.What is the mean of 5, 5, 11, 2 and 7? (a) 6 (b) 8 (c) 5 (d) 7
  10. 10.What is the mean of 2, 13, 8, 20 and 12? (a) 10 (b) 11 (c) 12 (d) 13
  11. 11.What is the median of 2, 23, 7, 8, 28, 20 and 30? (a) 20 (b) 21 (c) 8 (d) 23
  12. 12.The mean of 6 numbers is 14. When the number 7 is added to them, what is the new mean? (a) 15 (b) 13 (c) 12 (d) 14
  13. 13.What is the median of 3, 33, 6, 7, 29, 4 and 37? (a) 6 (b) 29 (c) 17 (d) 7
  14. 14.The mean of 3 numbers is 12. When the number 8 is added to them, what is the new mean? (a) 13 (b) 12 (c) 11 (d) 10
  15. 15.The mean of 9 numbers is 38. When the number 78 is added to them, what is the new mean? (a) 43 (b) 38 (c) 42 (d) 58
  16. 16.The mean of 7 numbers is 25. When the number 9 is added to them, what is the new mean? (a) 24 (b) 23 (c) 25 (d) 17
  17. 17.What is the mode of 9, 8, 8, 7, 20, 8 and 7? (a) 7 (b) 20 (c) 9 (d) 8
  18. 18.What is the mean of 12, 3, 8, 13 and 19? (a) 10 (b) 12 (c) 11 (d) 13
  19. 19.What is the mean of 8, 15, 10, 5, 15 and 13? (a) 12 (b) 10 (c) 11 (d) 13
  20. 20.What is the mode of 20, 9, 20, 20, 14, 6 and 14? (a) 20 (b) 6 (c) 9 (d) 14
  21. 21.The mean of 6 numbers is 29. When the number 57 is added to them, what is the new mean? (a) 29 (b) 34 (c) 43 (d) 33
  22. 22.What is the mode of 18, 16, 7, 18, 3, 7 and 7? (a) 7 (b) 3 (c) 18 (d) 16
  23. 23.What is the median of 33, 30, 8, 12 and 40? (a) 12 (b) 30 (c) 33 (d) 8
  24. 24.What is the mode of 19, 8, 12, 12, 8, 13 and 12? (a) 12 (b) 8 (c) 19 (d) 13
  25. 25.What is the mode of 19, 15, 12, 3, 19, 15 and 19? (a) 12 (b) 3 (c) 15 (d) 19
  26. 26.What is the mean of 17, 9, 18, 19 and 7? (a) 15 (b) 13 (c) 16 (d) 14
  27. 27.What is the median of 21, 18, 24, 37, 31, 17 and 22? (a) 21 (b) 24 (c) 37 (d) 22
  28. 28.What is the median of 37, 3, 2, 38 and 33? (a) 37 (b) 3 (c) 33 (d) 2
  29. 29.What is the mode of 11, 4, 18, 11, 8, 11 and 18? (a) 8 (b) 18 (c) 11 (d) 4
  30. 30.What is the mean of 12, 8, 7, 2, 18 and 7? (a) 10 (b) 9 (c) 8 (d) 11
  31. 31.What is the median of 17, 10, 32, 33, 7, 19 and 12? (a) 17 (b) 33 (c) 19 (d) 12
  32. 32.The mean of 3 numbers is 21. When the number 17 is added to them, what is the new mean? (a) 20 (b) 19 (c) 21 (d) 22
  33. 33.What is the mode of 9, 3, 3, 3, 11, 9 and 4? (a) 9 (b) 4 (c) 3 (d) 11
  34. 34.What is the median of 29, 2, 23, 10, 26, 33 and 18? (a) 18 (b) 23 (c) 26 (d) 10
  35. 35.The mean of 9 numbers is 25. When the number 55 is added to them, what is the new mean? (a) 40 (b) 29 (c) 28 (d) 25
  36. 36.What is the mode of 20, 10, 10, 14, 20, 8 and 10? (a) 8 (b) 14 (c) 10 (d) 20
  37. 37.What is the mode of 3, 15, 10, 18, 3, 10 and 10? (a) 15 (b) 10 (c) 18 (d) 3
  38. 38.What is the mode of 20, 20, 16, 16, 2, 20 and 12? (a) 2 (b) 20 (c) 12 (d) 16
  39. 39.The mean of 4 numbers is 19. When the number 39 is added to them, what is the new mean? (a) 29 (b) 24 (c) 19 (d) 23
  40. 40.The mean of 6 numbers is 34. When the number 41 is added to them, what is the new mean? (a) 36 (b) 34 (c) 35 (d) 37

Answer key

  1. 31
  2. 24
  3. 20
  4. 27
  5. 31
  6. 13
  7. 18
  8. 2
  9. 6
  10. 11
  11. 20
  12. 13
  13. 7
  14. 11
  15. 42
  16. 23
  17. 8
  18. 11
  19. 11
  20. 20
  21. 33
  22. 7
  23. 30
  24. 12
  25. 19
  26. 14
  27. 22
  28. 33
  29. 11
  30. 9
  31. 17
  32. 20
  33. 3
  34. 23
  35. 28
  36. 10
  37. 10
  38. 20
  39. 23
  40. 35

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