The median for grouped data is formed by using the formula: Options: A . &nbsp l + ( n 2 − c f f ) × h B . &nbsp l − ( n 2 − c f f ) × h . C . &nbsp l + ( n 2 + c f f ) × h . D . &nbsp l + 2 n

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

Question

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

Options:

A .

l + (\frac{\frac{n}{2} - c_{f}}{f}

)

\times h

B .

l - (\frac{\frac{n}{2} - c f}{f}

)

\times h

C .

l + (\frac{\frac{n}{2} + c f}{f}

)

\times h

D .

l + \frac{2}{n}

Answer: Option A
:
A

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.

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