Question

The following observation have been arranged in ascending order if the median of the data is 53 find the value of x .observation are 25 ,27 ,28 ,2 X + 1 ,32, 37, 45

Answer 1

${No. of observations = 7(odd)}$
$Median$ =$\color{red}[n+1/2]th \: term$
So, median = 2x+1
$\color{blue}According \: to \: the \: given \: que..$
$\color{green}2x+1=53$
$\color{green}2x=53-1$
$\color{green}2x=52$
$\color{green}x=52/2=26$