Find the median of the following data-Wline t e x t M A R K S O B T A I N E D - 20 - 29 - 28 - 33WlineWlinearray

[ MARKS OBTAINED amp; NUMBER OF STUDENTS amp; CUMULATIVE FREQUENCY; 20 amp; 6 amp; 6; ...

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Standard X

Mathematics

Median for Grouped Data

Find the medi...

Question

Find the median of the following data.

$\begin{matrix} MARKS OBTAINED & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 NUMBER OF STUDENTS & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$

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Solution

$\begin{matrix} MARKS OBTAINED & NUMBER OF STUDENTS & CUMULATIVE FREQUENCY 20 & 6 & 6 25 & 20 & 26 28 & 24 & 50 29 & 28 & 78 3 & 15 & 93 38 & 4 & 97 42 & 2 & 99 43 & 1 & 100 \end{matrix}$

n = 100

So, the median will be average of $(\frac{n}{2}) a n d (\frac{n}{2} + 1)$ terms.

$= \frac{28 + 29}{2} = 28.5$

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Find the median of the following data. MARKS OBTAINED2029283342384325NUMBER OF STUDENTS628241524120

MARKS OBTAINEDNUMBER OF STUDENTSCUMULATIVE FREQUENCY2066252026282450292878315933849742299431100 n = 100 So, the median will be average of (n2)and(n2+1) terms. =28+292=28.5

Find the median of the following data.

$\begin{matrix} MARKS OBTAINED & 20 & 29 & 28 & 33 & 42 & 38 & 43 & 25 NUMBER OF STUDENTS & 6 & 28 & 24 & 15 & 2 & 4 & 1 & 20 \end{matrix}$