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The manager of the factory was given a task to prepare a report on the daily income of the fifty workers of the factory. He collected the data of the daily income as in the table given below After collecting the data, he analyze the data and prepared a report and submitted to the director, the median daily income of the worker is,

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128

140

138

122

answer is C.

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Detailed Solution

Given table is,
Question Image

We know, the x-co-ordinate corresponding to half of the total frequency in a cumulative frequency graph gives the median of the data.
Consider the table,
Question Image

Here,

N = 50 ⇒ N 2 = 25

Let us now plot the point corresponding to the ordered pairs

(120, 12), (140, 26), (160, 31), (180, 40), (200, 50)

on graph paper and join them by a free-hand smooth curve.
Question Image

Now, x- coordinate of the point corresponding to 25 on the graph is 138.
Hence, the required median is 138.
Therefore, option 3 is correct.

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