The median and standard deviation (S.D.) of a distribution will be, If each term is increased by 2

median and S.D. will increased by 2

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median will increased by 2 but S.D. will remain same

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median will remain same but S.D. will increased by 2

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median and S.D. will remain same

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Solution

The correct option is A median will increased by 2 but S.D. will remain same
We know standard deviation is independent of change of origin, thus it will remain same after addition of 2 to each terms.
Now for median after addition of 2 the arrangements will be same but
all the terms will increase by 2, thus median will also increase by 2.

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