Find the median of the following data
 
Marks(less than) No. of students
10 5
20 20
30 45
40 70
50 80
60 88
70 98
80 100

Dear student
 
Class interval   Cf f
0-10 5 5
10-20 20 15
20-30 45 25
30-40 70 25
40-50 80 10
50-60 88   8
60-70 98 10
70-80 100 2

Median Class = N/2 = 100 / 2 = 50
Median Class = 30-40
Median = l + n/2 -cf / f * h
Median = 30 + 100/2 -45 / 25 * 10
Median = 30 + 50-45/25 * 10
Median = 30 + 5/25 *10
Median = 30 + 1/25 * 10
Median = 30 + 1/5*2
Median = 30.4

Regards
 

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