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NDA 2016 Maths · Mathematics · Statistics · medium

Adding the same constant to every observation changes the standard deviation by that constant. 2. Adding the same constant to every observation…

Single correct option

Consider the following statements:
1. Adding the same constant to every observation changes the standard deviation by that constant.
2. Adding the same constant to every observation leaves the mean unchanged.
Which of the statements given above is/are correct?
  1. A. 1 only
  2. B. 2 only
  3. C. Both 1 and 2
  4. D. Neither 1 nor 2
Show answer and solution

Answer: (D) Neither 1 nor 2

Adding a constant shifts every observation and the mean by that constant, so statement 2 is false. The deviations from the mean are unchanged, so the standard deviation does not change and statement 1 is false.
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Original question written in the NDA 2016 Maths pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake