Find the median class for the given distribution- Weekly wages in Rs- 0-100 100 - 200 200 - 300 300 - 400 400-500- No- of workers 40 39 34 30 45- -

[ Weekly wages(Rs.) amp;No. Of workers amp; Cumulative frequency; 0 100 amp; 40 amp; 40; ...

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Standard X

Mathematics

Finding Median for Grouped Data When Class Intervals Are Given

Find the medi...

Question

Find the median class for the given distribution:
$\begin{matrix} W e e k l y w a g e s (i n R s .) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 N o . o f w o r k e r s & 40 & 39 & 34 & 30 & 45 \end{matrix}$

100-200

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400-500

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200-300

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300-400

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Solution

The correct option is C
200-300

$\begin{matrix} W e e k l y w a g e s (R s .) & N o . O f w o r k e r s & C u m u l a t i v e f r e q u e n c y 0 - 100 & 40 & 40 100 - 200 & 39 & 79 200 - 300 & 34 & 113 300 - 400 & 30 & 143 400 - 500 & 45 & 188 \end{matrix}$

$M e d i a n t e r m = (\frac{n}{2})$ = $\frac{188}{2} = 94^{t h} t e r m$

94 falls between 79 and 113, i.e. in the class 200-300.
So, the median class is 200 - 300.

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Similar questions

Find the median class for the given distribution:
$\begin{matrix} W e e k l y w a g e s (i n R s .) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 N o . o f w o r k e r s & 40 & 39 & 34 & 30 & 45 \end{matrix}$

Find the median class for the given distribution:
$\begin{matrix} Weekly Wages (in Rs.) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 No. of Workers & 40 & 39 & 34 & 30 & 45 \end{matrix}$

Q. The following table shows the daily wages of workers in a factory:

\begin{matrix} Daily eages (in ₹) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 Number of workers & 40 & 32 & 48 & 22 & 8 \end{matrix}

Find the median daily wage income of the workers.

Q. Find the median of the given data:

\begin{matrix} Wages in (Rs.) & 200 - 300 & 300 - 400 & 400 - 500 & 500 - 600 & 600 - 700 No. of Labourers & 3 & 5 & 20 & 10 & 6 \end{matrix}

Q. Find the median of the following frequency distribution:

Class	0-100	100-200	200-300	300-400	400-500	500-600
Frequency	$64$	$62$	$84$	$72$	$66$	$52$

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Find the median class for the given distribution: Weekly wages (in Rs.)0−100100−200200−300300−400400−500No. of workers4039343045

The correct option is C 200-300 Weekly wages(Rs.)No. Of workersCumulative frequency0−1004040100−2003979200−30034113300−40030143400−50045188 Median term=(n2) = 1882=94th term 94 falls between 79 and 113, i.e. in the class 200-300. So, the median class is 200 - 300.

Find the median class for the given distribution:
$\begin{matrix} W e e k l y w a g e s (i n R s .) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 N o . o f w o r k e r s & 40 & 39 & 34 & 30 & 45 \end{matrix}$