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

Open in App

Solution

Given data; $x, x + 2, x + 4, x + 6, x + 8$
No. of data $N = 5$
$A . M . = 11$
$\sum x = x + x + 2 + x + 4 + x + 6 + x + 8$
$= 5 x + 20$
Formula $¯ ¯ ¯ x = \frac{\sum x}{N}$
$11 = \frac{5 x + 20}{5}$
$5 x + 20 = 55$
$5 x = 55 - 20$
$5 x = 35$
$x = \frac{35}{5} = 7$

Suggest Corrections

Similar questions

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

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

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

x + 8

11

x

Join BYJU'S Learning Program