A frequency distribution table is given for the daily wages and the number of workers getting the said wages. Find the median for the given data.

$\begin{matrix} Daily Wages & No. of Workers 225 & 4 250 & 5 270 & 7 300 & 9 350 & 2 400 & 3 \end{matrix}$

₹ 275

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₹ 280

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₹ 270

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₹ 300

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Solution

The correct option is C
₹ 270

$\begin{matrix} Daily Wages (Rs) & No. of Workers upto 225 & 4 upto 250 & 9 upto 270 & 16 upto 300 & 25 upto 350 & 27 upto 400 & 30 \end{matrix}$

Since the cumulative sum of the number of workers comes to 30 which is an even number, the median will be the average of the daily wages of the 15th and 16th person. Both the workers are getting the same daily wages of Rs. 270.

Hence the median = ₹ 270

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Similar questions

The table below shows the workers in a factory sorted according to their daily wages :

$\begin{matrix} Daily wages (Rs) & No. workers 400 & 3 500 & 4 600 & 5 700 & 7 800 & 6 900 & 3 1000 & 4 \end{matrix}$

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Q. Calcualte the mean of the following distribution of daily wages of workers in a factory:

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Also, calculate the median for the distribution of wages given above.

Q. The daily wages of 50 workers in a factory are given below :

\begin{matrix} Daily & 340 - 380 & 380 - 420 & 420 - 460 & 460 - 500 & 500 - 540 & 540 - 580 wages in rupees Number of & 16 & 9 & 12 & 2 & 7 & 4 workers \end{matrix}

Construct a histogram to represent the above frequency distribution.

Question 2
Consider the following distribution of daily wages of 50 worker of a factory.

$\begin{matrix} Daily wages (in Rs) & 100 - 120 & 120 - 140 & 140 - 160 & 160 - 180 & 180 - 200 Number of workers & 12 & 14 & 8 & 6 & 10 \end{matrix}$

Find the mean daily wages of the workers of the factory by using an appropriate method.

Q. In the figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency distribution table and find the total number of workers.

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A frequency distribution table is given for the daily wages and the number of workers getting the said wages. Find the median for the given data. Daily WagesNo. of Workers225425052707300935024003

A frequency distribution table is given for the daily wages and the number of workers getting the said wages. Find the median for the given data.

$\begin{matrix} Daily Wages & No. of Workers 225 & 4 250 & 5 270 & 7 300 & 9 350 & 2 400 & 3 \end{matrix}$