Find the median for the following data array - c - c - c - c - c - c - hlineClass-space interval - 0-10 - 10-20 - 20-30 - 30-40 - 40-50 - 50-60 lilhline Frequency - 16 - 20 - 32 - 48 - 30 - 14 Whline lendarray

[ Class Interval amp; Frequency amp; Cumulative Frequency; 0 10 amp; 16 amp; 16; ...

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Standard X

Mathematics

Cumulative Frequency Distribution of Less Than Type

Find the medi...

Question

Find the median for the following data

$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 & 50 - 60 F r e q u e n c y & 16 & 20 & 32 & 48 & 30 & 14 \end{matrix}$

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Solution

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 0 - 10 & 16 & 16 10 - 20 & 20 & 36 20 - 30 & 32 & 68 30 - 40 & 48 & 116 30 - 40 & 30 & 148 30 - 40 & 14 & 160 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=30+ $\frac{80 - 68}{48}$ $\times$ 10=32.5

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Find the median for the following data Class interval0−1010−2020−3030−4040−5050−60Frequency162032483014

Class IntervalFrequencyCumulative Frequency0−10161610−20203620−30326830−404811630−403014830−4014160 Median = l+(n2−cff)×h =30+80−6848×10=32.5

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