Find the median of the following data- Classinterval 100-110 110-120 120-130 130-140 140-150- Frequency 6 9 14 2 19- -

[ Class Interval amp; Frequency amp; Cumulative Frequency; 100 110 amp; 6 amp; 6; ...

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Standard IX

Mathematics

Properties of Measures of Central Tendency

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 F r e q u e n c y & 6 & 9 & 14 & 2 & 19 \end{matrix}$

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Solution

$\begin{matrix} C l a s s I n t e r v a l & F r e q u e n c y & C u m u l a t i v e F r e q u e n c y 100 - 110 & 6 & 6 110 - 120 & 9 & 15 120 - 130 & 14 & 29 130 - 140 & 2 & 31 140 - 150 & 19 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=120+ $\frac{25 - 15}{14}$ $\times$ 10=127.14

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Find the median of the following data. Class interval100−110110−120120−130130−140140−150Frequency6914219

Class IntervalFrequencyCumulative Frequency100−11066110−120915120−1301429130−140231140−1501950 Median = l+(n2−cff)×h =120+25−1514×10=127.14

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$\begin{matrix} C l a s s i n t e r v a l & 100 - 110 & 110 - 120 & 120 - 130 & 130 - 140 & 140 - 150 F r e q u e n c y & 6 & 9 & 14 & 2 & 19 \end{matrix}$