If the mean of 6, 7, x, 8, y, 14 is 9, then
Question:

If the mean of 6, 7, x, 8, y, 14 is 9, then

(a) x + y = 21
(b) x + y = 19
(c) x − y = 19
(d) x − y = 21

Solution:

The given observations are 6, 7, x, 8, y, 14.

Mean = 9          (Given)

$\Rightarrow \frac{6+7+x+8+y+14}{6}=9$

$\Rightarrow 35+x+y=54$

 

$\Rightarrow x+y=54-35=19$

Hence, the correct option is (b).

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