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

Median for Grouped Data

Find the medi...

Question

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

200-300

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300-400

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100-200

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400-500

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Solution

The correct option is A
200-300

$\begin{matrix} Weekly Wages(Rs.) & No. of Workers & Cumulative Frequency 0 - 100 & 40 & 40 100 - 200 & 39 & 79 200 - 300 & 34 & 113 300 - 400 & 30 & 143 400 - 500 & 45 & 188 \end{matrix}$

Median term = $\frac{(\frac{n}{2}) + (\frac{n}{2} + 1)}{2} = \frac{(94 + 95)}{2} = {94.5}^{t h} t e r m$

94.5 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

Q. Find the median class for the given distribution:

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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.

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Q. Find the median of the following frequency distribution:

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

Find the median class for the below distribution.
$\begin{matrix} Class & Cumulative frequency 10 - 20 & 3 20 - 30 & 17 30 - 40 & 24 40 - 50 & 33 50 - 60 & 51 \end{matrix}$

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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 A 200-300 Weekly Wages(Rs.)No. of WorkersCumulative Frequency0−1004040100−2003979200−30034113300−40030143400−50045188 Median term =(n2)+(n2+1)2=(94+95)2=94.5th term 94.5 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:
$\begin{matrix} Weekly Wages (in Rs.) & 0 - 100 & 100 - 200 & 200 - 300 & 300 - 400 & 400 - 500 No. of Workers & 40 & 39 & 34 & 30 & 45 \end{matrix}$