A data set of \mathrm{n} observations has mean 2\ov x. While another data set of 2{n} observations has mean \overline{x}. Then the mean of the combined data set of 3{n} observations will be :

Sainik School Entrance Exam 2018 Solved Paper

Question : 11 of 150

Marks: +1, -0

A data set of

\mathrm{n}

observations has mean

2\ov x

. While another data set of

2{n}

observations has mean

\ov{x}

. Then the mean of the combined data set of

3{n}

observations will be :

Solution:

(d) Mean of combined dateset

={2 \ov{x}.n+\ov{x}.m}/{3 n}

={4 \ov{x}.n}/{3 n}= {4}/{3} \ov{x}

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