Question

If the mean of following data 2,5,7,x+1,9,x+2,3 is 5 find the value of x hence find more

Answer 1

Hope this answers will help you!!!!

Answer 2

Hi there!

_______________________

What is Mean?

The average of a given set of numbers is called the Arithmetic mean, or simply the mean, of the given numbers.

Mean = $\frac{Sum \: of \: observations }{Number \: of \: observations }$

_______________________

Coming to the question ;

No of observations = 7

$\large{ \mathsf{mean = \frac{sum \: of \: observations}{number \: of \: observations} }}$

${ \mathsf{ \frac{2 + 5 + 7 + x + 1 + 9 + x + 2 + 3}{7} = 5 }} \\ \\ \implies{ \mathsf{ \frac{29 + 2x}{7} = 5 }} \\ \\ \implies{ \mathsf{29 + 2x = 35}} \\ \\ \implies{ \mathsf{2x = 6}} \\ \\ \implies{ \mathsf{x = \frac{6}{2} }} \\ \\ \therefore{ \boxed{ \bold{x = 3}}}$


_______________________

Thanks for the question!

☺️☺️☺️