Find the median of the following data- - Classinterval 0-100 100-200 200-300 300-400 400-500- Frequency 7 11 15 9 8- -

[ Classinterval amp; 0 100 amp; 100 200 amp; 200 300 amp; 300 400 amp; 400 500; Frequency amp; 7 amp; 11 amp; 15 amp; 9 ...

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Standard X

Mathematics

Median

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 \end{matrix}$

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Solution

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 f_{i} x_{i} & 7 & 18 & 33 & 42 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=200+ $\frac{25 - 18}{15}$ $\times$ 100=246.67

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Find the mode of the following data.

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Find the median of the following data.

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Find the mode of the following data. $\begin{matrix} Class interval & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 Frequency & 7 & 11 & 15 & 9 & 8 \end{matrix}$

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Find the median of the following data. Class interval0−100100−200200−300300−400400−500Frequency7111598

Class interval0−100100−200200−300300−400400−500Frequency7111598fixi718334250 Median = l+(n2−cff)×h =200+25−1815×100=246.67

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 \end{matrix}$

$\begin{matrix} C l a s s i n t e r v a l & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 F r e q u e n c y & 7 & 11 & 15 & 9 & 8 f_{i} x_{i} & 7 & 18 & 33 & 42 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=200+ $\frac{25 - 18}{15}$ $\times$ 100=246.67