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Finding the Median from Frequency Table 1

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How to find the median from frequency table with odd and even number of scores with step by step illustrations

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Finding the Median from Frequency Table 1

  1. 1. - Mr Kim
  2. 2. Finding the median with even number of scores
  3. 3. Score, x Frequency, f 10 6 11 4 12 10 13 11 14 5
  4. 4. Score, x Frequency, f 10 6 11 4 12 10 13 11 14 5 Here is a Frequency Table
  5. 5. Score, x Frequency, f 10 6 11 4 12 10 13 11 14 5 To find the Median, a cf column must be added and filled in
  6. 6. Score, x Frequency, f Cumulative Frequency, cf 10 6 11 4 12 10 13 11 14 5 To find the Median, a cf column must be added and filled in
  7. 7. Score, x Frequency, f Cumulative Frequency, cf 10 6 11 4 12 10 13 11 14 5
  8. 8. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 12 10 13 11 14 5
  9. 9. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 12 10 13 11 14 5
  10. 10. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 12 10 13 11 14 5
  11. 11. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 13 11 14 5
  12. 12. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 13 11 14 5
  13. 13. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 13 11 14 5
  14. 14. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 14 5
  15. 15. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 14 5
  16. 16. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5
  17. 17. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5
  18. 18. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36
  19. 19. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36
  20. 20. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 This is how many scores there are in total
  21. 21. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 Notice how it’s an even number
  22. 22. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 To find the Median Divide this by 2
  23. 23. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2=
  24. 24. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18
  25. 25. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18 **If you have an even number you have to look for that place score and the one after as well
  26. 26. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18 So look for the 18th score and… **If you have an even number you have to look for that place score and the one after as well
  27. 27. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 36 ÷ 2= 18 So look for the 18th score and 19th score **If you have an even number you have to look for that place score and the one after as well
  28. 28. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 So, under the cf column look for the first number that is 18 or more
  29. 29. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36
  30. 30. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 or more?
  31. 31. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 No.
  32. 32. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36
  33. 33. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 or more?
  34. 34. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 No.
  35. 35. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36
  36. 36. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18 or more?
  37. 37. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 Yes!
  38. 38. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 So 18th score is in that row Yes!
  39. 39. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 So 18th score is in that row Yes!
  40. 40. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12
  41. 41. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 Now, under the cf column look for the 19th score
  42. 42. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 19 or more?
  43. 43. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 No.
  44. 44. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 19 or more?
  45. 45. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 No.
  46. 46. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 19 or more?
  47. 47. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 Yes!
  48. 48. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 So 19th score is … Yes!
  49. 49. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 So 19th score is also 12 Yes!
  50. 50. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 19th score: 12
  51. 51. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 19th score: 12 So the Median is in between 12 and 12 which is …
  52. 52. Score, x Frequency, f Cumulative Frequency, cf 10 6 6 11 4 10 12 10 20 13 11 31 14 5 36 18th score: 12 19th score: 12 So the Median is in between 12 and 12 which is 12 Our Final Answer!
  53. 53. Finding the median with odd number of scores
  54. 54. Score, x Frequency, f 0 7 1 9 2 3 3 6 4 22
  55. 55. Score, x Frequency, f 0 7 1 9 2 3 3 6 4 22 Here is another Frequency Table
  56. 56. Same steps as before, a cf column must be added and filled in Score, x Frequency, f 0 7 1 9 2 3 3 6 4 22
  57. 57. Score, x Frequency, f Cumulative Frequency, cf 0 7 1 9 2 3 3 6 4 22 Same steps as before, a cf column must be added and filled in
  58. 58. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 2 3 3 6 4 22
  59. 59. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 2 3 3 6 4 22
  60. 60. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 3 6 4 22
  61. 61. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 3 6 4 22
  62. 62. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 4 22
  63. 63. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22
  64. 64. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47
  65. 65. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47
  66. 66. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 This is how many scores there are in total
  67. 67. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Notice how it’s an odd number
  68. 68. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 To find the Median Divide this by 2
  69. 69. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2=
  70. 70. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5
  71. 71. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 If you round this number up to the next number you get…
  72. 72. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 If you round this number up to the next number you get 24
  73. 73. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 If you round this number up to the next number you get 24 **If you have an odd number you look for that place score only
  74. 74. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 47 ÷ 2= 23.5 So look for the 24th score only **If you have an odd number you look for that place score only
  75. 75. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47
  76. 76. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?
  77. 77. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 No.
  78. 78. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?
  79. 79. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 No.
  80. 80. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?
  81. 81. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 No.
  82. 82. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 24 or more?
  83. 83. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Yes!
  84. 84. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Yes! So the Median is the score in that row
  85. 85. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 Yes! So the Median is the score in that row
  86. 86. Score, x Frequency, f Cumulative Frequency, cf 0 7 7 1 9 16 2 3 19 3 6 25 4 22 47 So the Median is 3 Our Final Answer!

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