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Q.

The following frequency distribution gives the wages of laborers.


Question Image

The median is,


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a

24.46

b

30

c

28.47

d

22.55 

answer is A.

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Detailed Solution

Given table is,
Question ImageThe formula to find median for grouped data with cumulative frequency is:  Median =l+ N 2 cf f ×h   c.f is the cumulative frequency of the class preceding the median class.
f is the frequency of the median class.
h  is the width of the class intervals. l is the lower limit of the median class.
N is the total sum of the frequency.
Consider the table,
Question ImageAccording to the table,
The median class is 20-30 as N 2   is 80.5
Substituting the values in the formula, we get,
Median=l+ N 2 c.f. f ×h Median=20+ 80.560 46 ×10 Median=20+ 10 46 ×20.5 Median=20+4.46 Median=24.46   Therefore, the median is 24.46.
Hence, option 1 is correct.
 
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The following frequency distribution gives the wages of laborers. The median is,