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Direct Method of Finding Mean

If the mean o...

Question

If the mean of a set of $15$ observations is $12$ and that of another set of $10$ observations is $15$ then find the mean of combined set.

15

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14.1

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12.5

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13.2

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Solution

The correct option is C $13.2$
Mean $= \frac{S u m o f o b s e r v a t i o n s}{N o . o f o b s e r v a t i o n s}$
Mean of the combined set $= \frac{15 \times 12 + 10 \times 15}{15 + 10} = \frac{180 + 150}{25} = 13.2$

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