Math, asked by abhishekbidhan11, 1 year ago

The table below shows the salaries of 280 person

Salary( c.I.). 5 - 10............45 - 50
No of person(f) 49, 133, 63, 15, 6, 7, 4, 2, 1
Calculate median salary of data


sonulhan8090100: Tell me in detail

Answers

Answered by Ankit1234
45
Refer the attachment.
Attachments:

rishilaugh: can you write 4-5 lines about answer and make it in 50 words atleaset
abhi178: Can you say me why you multiply with 1000 . It's simple median is 13.42
Ankit1234: In question it was given that these are thousand.. 1 means 1 thousand here
Ankit1234: I have question paper so I know.
Answered by abhi178
18
Arrangement of daigram as shown in figure ,
Here , N = 280
∴N/2 = 280/2 = 140 , it is less than 182 hence, we consider 182 cumulative frequency { CF } . In diagram it is cleared by red circle .
∴ F = 49, f = 133 , l = 10 , h = (15 - 10) = 5 and CF = 49
Now, use the formula ,
\bold{Median = l + \frac{\frac{N}{2} - CF}{f}\times h}
so, median = 10 + (140 - 49)/133 × 5
= 10 + 91 × 5/133
= 10 + 3.42 = 13.42

Hence, median = 13.42
Attachments:
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