Question

The median for grouped data is formed by using the formula:

• A. $l+(\frac{\frac{n}{2}-c_f}{f}$ ) $\times h$
• B. $l-(\frac{\frac{n}{2}-cf}{f}$ ) $\times h$.
• C. $l+(\frac{\frac{n}{2}+cf}{f}$ ) $\times h$.
• D. $l+\frac{2}{n}$

Answer 1

The correct option is A

$l+(\frac{\frac{n}{2}-c_f}{f}$ ) $\times h$

The median for grouped data is formed by $l+(\frac{\frac{n}{2}-c_f}{f}$ ) $\times h$.

Where $l$ is lower class limit of median class.
$n$ is total number of observations.
$c_f$ is the cumulative frequency of the class preceding the median class.
$f$ is the frequency of the median class and h is the class size.