Find the median of the following data- array - c - c - c - c - c - c - hlineClass-space interval - 0-20 - 20-40 - 40-60 - 60-80 - 80-100 lWhline Frequency - 5 - 11 - 12 - 13 - 9 lllhline lendarray

[ Class Interval amp; Frequency amp; Cumulative Frequency; 0 20 amp; 5 amp; 5; ...

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Standard VIII

Mathematics

Median for a Grouped Data

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 5 & 11 & 12 & 13 & 9 \end{matrix}$

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Solution

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 0 - 20 & 5 & 5 20 - 40 & 11 & 16 40 - 60 & 12 & 28 60 - 80 & 13 & 41 80 - 100 & 9 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=40+ $\frac{25 - 16}{20}$ $\times$ 20=55

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Find the median of the following data. Class interval0−2020−4040−6060−8080−100Frequency51112139

Class IntervalFrequencyCumulative Frequency0−205520−40111640−60122860−80134180−100950 Median = l+(n2−cff)×h =40+25−1620×20=55

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 20 & 20 - 40 & 40 - 60 & 60 - 80 & 80 - 100 F r e q u e n c y & 5 & 11 & 12 & 13 & 9 \end{matrix}$

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 0 - 20 & 5 & 5 20 - 40 & 11 & 16 40 - 60 & 12 & 28 60 - 80 & 13 & 41 80 - 100 & 9 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=40+ $\frac{25 - 16}{20}$ $\times$ 20=55