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Probability

Question
CBSEENMA9003827
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The following data have been overanged in ascending order. If the median of these data is 63, then find the value of x : 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95

Solution
Number of observations (n) = 10 which is even
therefore space space space Median space equals space open parentheses straight n over 2 close parentheses to the power of th space observation space space space space space space space space space space space space space space space space space plus fraction numerator 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 space space space space space equals fraction numerator 5 to the power of th space observation space plus space 6 to the power of th space observation over denominator 2 end fraction space space space space space equals fraction numerator straight x plus left parenthesis straight x plus 2 right parenthesis over denominator 2 end fraction equals fraction numerator 2 straight x plus 2 over denominator 2 end fraction
According to the question
     fraction numerator 2 straight x plus 2 over denominator 2 end fraction equals 63
rightwards double arrow   2x + 2 = 126
rightwards double arrow   2x = 124
rightwards double arrow   x = 62

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