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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!