Find the median of the following data- Classinterval 0-10 10-20 20-30 30-40 40-50- Frequency 10 9 8 17 6- -

[ Classinterval amp; 0 10 amp; 10 20 amp; 20 30 amp; 30 40 amp; 40 50; Frequency ...

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Standard X

Mathematics

Median for Ungrouped Data

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 10 & 9 & 8 & 17 & 6 \end{matrix}$

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Solution

$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 10 & 9 & 8 & 17 & 6 C u m u l a t i v e f r e q u e n c y & 10 & 19 & 27 & 44 & 50 \end{matrix}$

Median = l+ $(\frac{\frac{n}{2} - c f}{f})$ $\times$ h
=20+ $\frac{25 - 19}{8}$ $\times$ 10=27.5

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Find the median of the following data.

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Find the median of the following data:

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Find the median of the following data. Class interval0−1010−2020−3030−4040−50Frequency1098176

Class interval0−1010−2020−3030−4040−50Frequency1098176Cumulativefrequency1019274450 Median = l+(n2−cff)×h =20+25−198×10=27.5

Find the median of the following data.

$\begin{matrix} C l a s s i n t e r v a l & 0 - 10 & 10 - 20 & 20 - 30 & 30 - 40 & 40 - 50 F r e q u e n c y & 10 & 9 & 8 & 17 & 6 \end{matrix}$