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$12, a, 6, 8, 2, 14$
The average (arithmetic mean) of the numbers listed above is $6$ . Calculate the value of $a$ .

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-6

answer is B.

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Detailed Solution

It is given to find the value of

a

.
We know that average of a bunch of observations

= \frac{Sum of observations}{Number of observations}

.
We can set up an equation for the average from the given question,

\Rightarrow \frac{12 + a + 6 + 8 + 2 + 14}{6} = 6

\Rightarrow \frac{42 + a}{6} = 6

\Rightarrow 42 + a = 36

\Rightarrow a = 36 - 42

\Rightarrow a = - 6

Hence, value of

a = - 6 .

Hence, option 2 is correct.

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