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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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