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What is the median and standard deviation of a distribution are 50 and 5 respectively, if each item is increased by 4.

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What is the median and standard deviation of a distribution are 50 and 5 respectively, if each item is increased by 4.

(a) Median will increase and S.D. will increase

(b) Both will remain same

(c) median will go up by 2 but S.D. will remain same

(d) median will increase and S.D. will decrease

This question was addressed to me in an international level competition.

Asked question is from Statistics topic in chapter Statistics of Mathematics – Class 11

1 Answer

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Correct answer is (c) median will go up by 2 but S.D. will remain same

For explanation: Median will change if the observations are changes but standard deviation is unaffected by the origin. So, here the median will go up by 4 and S.D. will remain same.

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