If the mean of $5$ observations $x, x + 2, x + 4, x + 6$ and $x + 8$ is $11$ , find the value of $x$ .

Open in App

Solution

We know that,
Mean $= \frac{S u m o f t h e g i v e n o b s e r v a t i o n}{T o t a l n u m b e r o f o b s e r v a t i o n}$
Sum of the given observations $= x + (x + 2) + (x + 4) + (x + 6) + (x + 8)$
$= x + x + 2 + x + 4 + x + 6 + x + 8$
$= 5 x + 20$
Total number of observations $= 5$
Therefore, Mean $= \frac{(5 x + 20)}{5}$
Also, Mean $= 11$
(given)
$\Rightarrow 11 = \frac{(5 x + 20)}{5}$
$\Rightarrow 55 = 5 x + 20$
or $x = 7$

Suggest Corrections

Similar questions

5

x, x + 2, x + 4, x + 6

x + 8

11

x

x, x + 2, x + 4, x + 6

x + 8

11

x

The mean of 5 observations x, x + 2, x + 4, x + 6 and x + 8 is 11, then the value of x is:

Join BYJU'S Learning Program