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Q.

Find the median wage of a worker engaged at a construction site whose data are given below:


Table Description automatically generated

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a

2200

b

4300

c

2100

d

2400 

answer is B.

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Detailed Solution

The data is given in the table is
Table Description automatically generatedThe median of the observations is the value that is in the middle of the data.
The cumulative frequency of the given data is shown below:
graphics for question 6 page 425Here, n=100(even).
The formula for median if n is even is:
median=n2th term+n2+1th term2 
So, median is the mean of 1002th and 1002+1 th terms  observations, or 50th, and 51st observations.
The 50th term from given data is 4100 and 51st term is 4500 as per table of cumulative frequency.
Hence, median =4100+45002
⇒median=86002
⇒median=4300
Therefore, the median wage of a worker at a construction site is Rs. 4300.
Hence, option 2 is the correct answer.
 
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