GATE 2012 CS (CS1) – Question 9

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 2 marks · Multiple choice

Which assertions are correct? P: Adding seven to every list entry adds seven to the mean. Q: It adds seven to standard deviation. R: Doubling every entry doubles the mean. S: Doubling every entry leaves standard deviation unchanged.

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Correct answer: (C) P,R

Explanation

Translation by seven changes the mean by seven but preserves all deviations, so P is true and Q false. Scaling by two doubles both mean and standard deviation, making R true and S false. Thus P,R, option C.

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