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The monthly wages of 6 employees in a company are Rs.5,000, Rs.6,000, Rs.8,000, Rs.8,500, Rs.9300. and Rs.9,500. Find the median of their wages.
Question

The monthly wages of 6 employees in a company are Rs.5,000, Rs.6,000, Rs.8,000, Rs.8,500, Rs.9300. and Rs.9,500. Find the median of their wages.

A.

₹8000

B.

₹8250

C.

₹8500

D.

₹8750

Correct option is B

Given:

Monthly wages of 6 employees = ₹5000,₹6000,₹8000,₹8500,₹9300 and ₹9500

Formula Used:

Median if n is odd = n+12th\frac{n+1}{2}th​ value

If n is even =(n2)thvalue+(n2+1)thvalue2 \frac{\left(\frac{n}{2}\right)^{th} value + \left(\frac{n}{2}+1\right)^{th} value}{2}​​

Solution:

Here the number of employees is 6, so n is even

Median (62)thvalue+(62+1)thvalue2 \frac{\left(\frac{6}{2}\right)^{th} value + \left(\frac{6}{2}+1\right)^{th} value}{2}​​=3rd value+4th value2= \frac{3rd\ value + 4th\ value}{2}​​

=8000+85002= \frac{8000 + 8500}{2}​​

= ₹8250

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