The mean of 5 observations is 60, the mean of 10 observations is 30 and the mean of 15 observations is 20… · ABC26GN1574

Subject: General Aptitude · Chapter: Average · Exam: P.C.S. 2009

The mean of 5 observations is 60, the mean of 10 observations is 30 and the mean of 15 observations is 20 . The mean of all the 30 observations is
(a)20
(b)25
(c)30
(d)40
Answer
Answer (as printed): C
Explanation
$$\begin{aligned} \text { Required mean } & =\left(\frac{60 \times 5+30 \times 10+20 \times 15}{5+10+15}\right) \\ & =\left(\frac{300+300+300}{30}\right)=\frac{900}{30}=30 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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