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

              

Answers (1)
S Sayak

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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