Question

if the mean of the observations x , 2x+1, 2x+5, 2x+9 is 30 find the median of the observation​

Answer 1

Answer:

$\blue{mean \: of \: four \: observations= 30} \\ \frac{x + 2x + 1 + 2x + 5 + 2x + 9}{4} = 30\\ 7x + 15 = 120 \\ 7x = 105 \\ \boxed{x =15 } \\ \blue{ \underline{put \: the \: value \: of \: x \: in \: observations}: } \\ \blue{ \rightarrow{observations \: are : }} \\ 15,31,35,39 \\ \rightarrow \: where \: n = number \: of \: observtions \\ \blue{median = \frac{ {\frac{n}{2} }^{th} + { (\frac{n}{2} + 1)}^{th} }{2} } \\ = \frac{31+ 35}{2} \\ = \frac{66}{2} \\ = 33 \\ \\ \red{\mathfrak{\underline{\large{Hope \: It \: Helps \: You }}}} \\ \green{\mathfrak{\underline{\large{Mark \: Me \: Brainliest}}}}$