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# Finding the Median from Frequency Table 1

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

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!