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# The following observations have been arranged in ascending order.If the median of the data is 63, find the value of x.

Q. 3.     The following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.

29,     32,     48,     50,     x,     x + 2,     72,     78,     84,     95

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The given data is already in ascending order

Number of observations, n = 10 (even)

$\\Median=\frac{(\frac{n}{2})^{th}\ term+(\frac{n}{2}+1)^{th}\ term}{2}\\ Median=\frac{(\frac{10}{2})^{th}\ term+(\frac{10}{2}+1)^{th}\ term}{2}\\ Median=\frac{(5)^{th}\ term+(6)^{th}\ term}{2}\\ Median=\frac{(x)+(x+2)}{2}\\ Median=\frac{2x+2}{2}\\ Median=x+1$

x + 1 = 63

x = 62

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