Question

The following observations are arranged in ascending order.the madian of the data is 25.find the value of X .17,X,24,X+7,35,36,46

Answer 1

$\Huge{\texttt{{{\color{Magenta}{⛄A}}{\red{N}}{\purple{S}}{\pink{W}}{\blue{E}}{\green{R}}{\red{♡}}{\purple{࿐⛄}}{\color{pink}{:}}}}}$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

$\sf{no \: of \: observations \: are \: odd \: so}$

$\sf \red{→ median = \frac{(n+1)}{2} }$

$\sf \red{→ median = \frac{(7+1)}{ 2}}$

$\sf \red{→median = \frac{8}{2}}$

$\sf \red{→median = 4th \: observation }$

$\boxed{ \tt{we \: had \: given }}$

$\sf \purple{median = 25}$

$\sf \purple{4th \: observation = x+7}$

$\boxed{ \tt \: puting \: values}$

$\sf \orange{→ 25 = x + 7}$

$\sf \orange{→ x = 25-7 }$

$\huge \boxed{ \tt\therefore x = 18}$

_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _

$\huge\red{\boxed{\orange{\mathcal{{{\fcolorbox{red}{i}{{\red{@Master}}}}}}}}}$