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Question

The mean and standard deviation of $$10$$ observations are $$35$$ and $$2$$ respectively. Find the changed mean and standard deviation if each observation is increased by $$4$$.


A
39 & 6
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B
2 & 39
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C
39 & 2
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D
6 & 39
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Solution

The correct option is B $$39$$ & $$2$$
When each observation is increased by $$4$$, the mean of the changed observations will also increase and it will become equal to $$35+4=39$$.
Since increment in all observations by a constant does not change the standard deviation. Thus, the mean and standard deviation when each observation is increased by $$4$$ would be $$39$$ and $$2$$ respectively.

Economics

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