For the given data set:

2,4,5,6,7,X,10, 11

The average is 6
What is the value of X ?

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Solution

The correct option is C
3
We know,
$A v e r a g e = \frac{S u m o f a l l o b s e r v a t i o n s}{T o t a l n u m b e r o f o b s e r v a t i o n s}$

$\Rightarrow$
$6 = \frac{2 + 4 + 6 + 5 + X + 10 + 7 + 11}{8}$

$\Rightarrow$ X +45 = 48
$\Rightarrow$ X =3

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