Find the median of the following data: 95, 65, 75, 70, 75, 100, 50, 40. - Zigya
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Find the median of the following data:

95, 65, 75, 70, 75, 100, 50, 40.


Arranging the given data in the ascending order, we have

40, 50, 65, 70, 75, 75, 95,

100 Number of observations (n) = 8 which is even.

therefore space space Median
equals space space fraction numerator open parentheses begin display style straight n over 2 end style close parentheses to the power of th space observation plus open parentheses begin display style straight n over 2 end style plus 1 close parentheses to the power of th space observation over denominator 2 end fraction
equals space fraction numerator open parentheses begin display style 8 over 2 end style close parentheses to the power of th observation plus open parentheses begin display style 8 over 2 end style plus 1 close parentheses to the power of th space observation over denominator 2 end fraction
equals fraction numerator 4 to the power of th observation plus 5 to the power of th space observation over denominator 2 end fraction
equals fraction numerator 70 plus 75 over denominator 2 end fraction
equals 72.5

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