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
B
2 & 39
C
39 & 2
D
6 & 39

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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