Find the median of the following data- WhineClass interval - Frequency IINhine 0 -10 - 6 ithline 10-20 - 7 Whline 20 -30 - 11 Whline30-40 - 9 Wlline40-50 - 7 11 hline-ndarray -3 MARKS-

Concept: 1 Mark Application: 2 Marks [ Class Interval amp; No. of houses amp; CF; 0 10 amp; 6 amp; 6; ...

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Standard VIII

Mathematics

Median for a Grouped Data

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y 0 - 10 & 6 10 - 20 & 7 20 - 30 & 11 30 - 40 & 9 40 - 50 & 7 \end{matrix}$ [3 MARKS]

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Solution

Concept: 1 Mark
Application: 2 Marks

$\begin{matrix} C l a s s I n t e r v a l & N o . o f h o u s e s & C F 0 - 10 & 6 & 6 10 - 20 & 7 & 13 20 - 30 & 11 & 24 30 - 40 & 9 & 33 40 - 50 & 7 & 40 \end{matrix}$

Median
$= l + (\frac{\frac{n}{2} - c f}{f}) \times h$

$= 20 + \frac{20 - 13}{11} \times 10$

$= 26.36$

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