Chapter 11.1, Problem 11E

To determine

To find the value of x.

Answer to Problem 11E

  $x=4$

Explanation of Solution

Given information: $2,8,9,7,6,x$ , Mean = 6

Formula Used: Mean = $\frac{Sumofallobservations}{Totalobservations}$

Calculation:

  $2,8,9,7,6,x$

Mean = $\frac{Sumofallobservations}{Totalobservations}$

As,Mean = 6

  $6=\frac{2+8+9+7+6+x}{6}$

Now,

  $6\times 6=32+x$

So,

  $x=36-32$

Hence,

  $x=4$