Find the median of the following data- array -c- c-c- c-c- c - hlineFrequency - 10 - 13 - 8 - 7 - 12 Whline lendarray

[ Classinterval amp; 100 120 amp; 120 140 amp; 140 160 amp; 160 180 amp; 180 200; Frequency ...

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Standard X

Mathematics

Cumulative Frequency Distribution of Less Than Type

Find the medi...

Question

Find the median of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 F r e q u e n c y & 10 & 13 & 8 & 7 & 12 \end{matrix}$

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Solution

$\begin{matrix} C l a s s i n t e r v a l & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 F r e q u e n c y & 10 & 13 & 8 & 7 & 12 C u m u l a t i v e f r e q u e n c y & 10 & 23 & 31 & 38 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=140+ $\frac{25 - 23}{8}$ $\times$ 10=142.5

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Find the median of the following data. Class interval100−120120−140140−160160−180180−200Frequency10138712

Class interval100−120120−140140−160160−180180−200Frequency10138712Cumulativefrequency1023313850 Median = l+(n2−cff)×h =140+25−238×10=142.5

Find the median of the following data.
$\begin{matrix} C l a s s i n t e r v a l & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 F r e q u e n c y & 10 & 13 & 8 & 7 & 12 \end{matrix}$