The median of the following frequency distribution is 26 . Class 0-10 10-20 20-30 30-40 40-50 Frequency 5 7 x 10 8 The value of x is :

Step-by-step solution

Given that the median is 26 , the median class is 20-30 . From the table, we have: Lower limit of the median class, l = 20 Class width, h = 10 Frequency of the median class, f = x Cumulative frequency of the class preceding the median class, C = 5 + 7 = 12 Total frequency, N = 5 + 7 + x + 10 + 8 = 30 + x The formula for the median is: M = l + ( N 2 - C f ) h Substituting the values: 26 = 20 + ( 30 + x 2 - 12 x ) 10 6 = ( 15 + x 2 - 12 x ) 10 6x = ( 3 + x 2 ) 10 6x = 30 + 5x x = 30 Answer: 30