Answer
$x=\color{red}{16}$
Work Step by Step
$$\text{Solution}$$
Given Information:
Data Set ⟹ $(9, 10, 12, \color{red}x, 20, 25)$
Median⟹ $14$
Total Number of Items in Data Set $n= 6$
To Find: Value of $\color{red}x$
Median for even Numbers $ =\frac {(\frac{n}{2})^{th}+ (\frac{n}{2})^{th}+1}{2}term$
Median$=\frac {(3)^{rd}+ (4)^{th}}{2}term$
Median = $14, $
$(3)^{rd}$ term =12
$(4)^{th}$ term $=\color{red}x$
So,
$14=\frac{12+\color{red}x}{2}$
$12 +\color{red}x = 14 \times 2$
$\color{red}x=28-12$
$\color{red}x=\color{red}{16}$
