The median of 100 observations grouped in cla | vedclass

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(A) The formula for the median of grouped data is:$M = l + \left( \frac{\frac{N}{2} - F}{f} ight) 	imes C$Where:$l = 20$ (lower limit of the median

Vedclass · Accepted Answer

$10$

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(A) The formula for the median of grouped data is:$M = l + \left( \frac{\frac{N}{2} - F}{f} ight) 	imes C$Where:$l = 20$ (lower limit of the median class)$N = 100$ (total number of observations)$F = 45$ (cumulative frequency of the class preceding the median class)$C = 30 - 20 = 10$ (width of the median class)$M = 25$ (median)$f$ is the frequency of the median class.Substituting the values into the formula:$25 = 20 + \left( \frac{\frac{100}{2} - 45}{f} ight) 	imes 10$$25 - 20 = \left( \frac{50 - 45}{f} ight) 	imes 10$$5 = \frac{5}{f} 	imes 10$$5 = \frac{50}{f}$$f = \frac{50}{5} = 10$

Class	$0-20$	$20-40$	$40-60$	$60-80$	$80-100$
$f$	$17$	$f_1$	$32$	$f_2$	$19$

The median of $100$ observations grouped in classes of equal width is $25$. If the median class interval is $20-30$ and the number of observations less than $20$ is $45$,then the frequency of the median class is:

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