Question

find the value of x​

Answer 1

Here is your answer

Answer 2

$\boxed{Value\:of\:x\:=\:20}$

$\bold{Observations\:=>\:6,14,15,17,x+1,2x-13}$

$\bold{30,32,34,43}$

$\bold{No\:of\:observations\:=\:10[Even]}$

$\boxed{Median\:=\:Avg \: of \: \frac{n}{2} \: , \: \frac{n}{2} + 1}$

$\bold{Median\:=\: \frac{10}{2} \: , \: \frac{10}{2} + 1}$

$\bold{Median\:=\:5 \: , \: 6}$

$\bold{Median\:=\: \frac{x + 1 + 2x - 13}{2}}$

$\bold{Median\:=\: \frac{3x - 12}{2}}$

$\bold{24\:=\: \frac{3x - 12}{2}}$

$\bold{24\times2\:=\:3x - 12}$

$\bold{48 + 12\:=\:3x}$

$\bold{60\:=\:3x}$

$\bold{60\div3\:=\:x}$

$\bold{x\:=\:20}$

$\underline{Therefore \: value \: of \: x \: = \: 20}$