Question

If the mean of 17, 19, 24, 15, 18, 16, x, 14 is 17. ſind the value of x​

Answer 1

Answer:

The value of x is 13

Step-by-step explanation:

Given numbers are

17, 19, 24, 15, 18, 16, x, 14

Here, n=8

Mean of the given numbers is

$\bf\overline{x}=\displaystyle\frac{\Sigma{x_i}}{n}$

$\implies\;17=\displaystyle\frac{17+19+24+15+18+16+x+14}{8}$

$\implies\;17=\displaystyle\frac{123+x}{8}$

$\implies\;17{\times}8=123+x$

$\implies\;136=123+x$

$\implies\;136-123=x$

$\implies\boxed{\bf\;x=13}$