The arithmetic of 12 observations is 15. If two observations 20 and 25 are removed then the arithmetic mean of remaining observations is

The arithmetic of 12 observations is 15. If two observations 20 and 25 are removed then the arithmetic mean of remaining observations is

A
14.5
B
13.5
C
12.5
D
13

Solution:

We have

$\frac{S u m o f t h e o b s e r v a t i o n s}{12} = 15$

$\Rightarrow$ Sum of the observations = 180

Arithmetic mean of new observations = $\frac{180 - 20 - 25}{10} = 135$

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