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Mean Median Mode Worksheet for Maths Olympiad

Maths Olympiad topic 27: Data handling: mean, median, mode · Set 812 · 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 4 numbers is 21. When the number 16 is added to them, what is the new mean? (a) 19 (b) 22 (c) 21 (d) 20
  2. 2.The mean of 3 numbers is 23. When the number 31 is added to them, what is the new mean? (a) 25 (b) 27 (c) 23 (d) 26
  3. 3.What is the mean of 18, 5, 16 and 13? (a) 15 (b) 12 (c) 13 (d) 14
  4. 4.What is the mode of 20, 13, 3, 3, 13, 3 and 7? (a) 7 (b) 3 (c) 20 (d) 13
  5. 5.The mean of 9 numbers is 18. When the number 8 is added to them, what is the new mean? (a) 17 (b) 13 (c) 16 (d) 18
  6. 6.What is the median of 31, 20, 24, 36, 27, 3 and 6? (a) 36 (b) 21 (c) 24 (d) 27
  7. 7.The mean of 6 numbers is 22. When the number 29 is added to them, what is the new mean? (a) 24 (b) 25 (c) 22 (d) 23
  8. 8.The mean of 7 numbers is 35. When the number 19 is added to them, what is the new mean? (a) 34 (b) 35 (c) 27 (d) 33
  9. 9.What is the mean of 8, 13, 5 and 14? (a) 11 (b) 8 (c) 9 (d) 10
  10. 10.What is the mean of 18, 16, 14, 7 and 15? (a) 14 (b) 15 (c) 16 (d) 13
  11. 11.The mean of 8 numbers is 20. When the number 29 is added to them, what is the new mean? (a) 21 (b) 20 (c) 22 (d) 23
  12. 12.What is the mode of 10, 16, 13, 16, 10, 8 and 16? (a) 13 (b) 10 (c) 16 (d) 8
  13. 13.What is the mode of 16, 1, 10, 10, 18, 16 and 10? (a) 16 (b) 18 (c) 1 (d) 10
  14. 14.The mean of 9 numbers is 17. When the number 7 is added to them, what is the new mean? (a) 17 (b) 15 (c) 16 (d) 12
  15. 15.What is the mode of 18, 15, 15, 18, 13, 10 and 15? (a) 18 (b) 10 (c) 15 (d) 13
  16. 16.What is the mode of 12, 8, 9, 12, 19, 9 and 12? (a) 12 (b) 8 (c) 19 (d) 9
  17. 17.What is the mean of 5, 8, 20, 17, 5 and 5? (a) 10 (b) 12 (c) 11 (d) 9
  18. 18.The mean of 5 numbers is 30. When the number 12 is added to them, what is the new mean? (a) 30 (b) 27 (c) 28 (d) 21
  19. 19.What is the mean of 6, 2, 5, 6 and 16? (a) 8 (b) 6 (c) 9 (d) 7
  20. 20.What is the mean of 8, 9, 20 and 19? (a) 15 (b) 14 (c) 13 (d) 16
  21. 21.What is the mean of 8, 6, 18 and 16? (a) 11 (b) 16 (c) 12 (d) 13
  22. 22.What is the median of 37, 30, 15, 27, 28, 34 and 6? (a) 30 (b) 28 (c) 27 (d) 29
  23. 23.The mean of 8 numbers is 39. When the number 57 is added to them, what is the new mean? (a) 42 (b) 39 (c) 48 (d) 41
  24. 24.The mean of 3 numbers is 32. When the number 20 is added to them, what is the new mean? (a) 32 (b) 26 (c) 30 (d) 29
  25. 25.The mean of 3 numbers is 29. When the number 17 is added to them, what is the new mean? (a) 23 (b) 27 (c) 26 (d) 29
  26. 26.What is the mean of 5, 8, 5, 16 and 6? (a) 10 (b) 8 (c) 9 (d) 7
  27. 27.The mean of 6 numbers is 18. When the number 39 is added to them, what is the new mean? (a) 20 (b) 22 (c) 18 (d) 21
  28. 28.What is the mean of 12, 11, 10 and 19? (a) 14 (b) 13 (c) 12 (d) 15
  29. 29.What is the median of 39, 19, 15, 6 and 2? (a) 19 (b) 6 (c) 16 (d) 15
  30. 30.What is the mode of 6, 2, 5, 18, 6, 6 and 2? (a) 6 (b) 2 (c) 5 (d) 18
  31. 31.What is the median of 38, 4, 15, 31 and 16? (a) 15 (b) 16 (c) 31 (d) 17
  32. 32.What is the mode of 11, 11, 20, 3, 6, 20 and 20? (a) 11 (b) 3 (c) 6 (d) 20
  33. 33.What is the median of 21, 40, 10, 1 and 27? (a) 10 (b) 21 (c) 27 (d) 22
  34. 34.The mean of 8 numbers is 24. When the number 15 is added to them, what is the new mean? (a) 23 (b) 22 (c) 25 (d) 24
  35. 35.The mean of 7 numbers is 26. When the number 18 is added to them, what is the new mean? (a) 26 (b) 24 (c) 22 (d) 25
  36. 36.The mean of 9 numbers is 36. When the number 66 is added to them, what is the new mean? (a) 40 (b) 36 (c) 39 (d) 51
  37. 37.The mean of 9 numbers is 34. When the number 14 is added to them, what is the new mean? (a) 34 (b) 24 (c) 33 (d) 32
  38. 38.What is the median of 40, 4, 16, 1, 35, 14 and 39? (a) 16 (b) 35 (c) 1 (d) 14
  39. 39.What is the median of 23, 37, 15, 4 and 26? (a) 26 (b) 21 (c) 23 (d) 15
  40. 40.The mean of 8 numbers is 37. When the number 10 is added to them, what is the new mean? (a) 34 (b) 33 (c) 37 (d) 35

Answer key

  1. 20
  2. 25
  3. 13
  4. 3
  5. 17
  6. 24
  7. 23
  8. 33
  9. 10
  10. 14
  11. 21
  12. 16
  13. 10
  14. 16
  15. 15
  16. 12
  17. 10
  18. 27
  19. 7
  20. 14
  21. 12
  22. 28
  23. 41
  24. 29
  25. 26
  26. 8
  27. 21
  28. 13
  29. 15
  30. 6
  31. 16
  32. 20
  33. 21
  34. 23
  35. 25
  36. 39
  37. 32
  38. 16
  39. 23
  40. 34

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