NDA 2017 Maths · Mathematics · Statistics · medium

For a symmetric frequency distribution, the mean and the median coincide. 2. The median of a data set is always one of the observations.

Single correct option

Consider the following statements:
1. For a symmetric frequency distribution, the mean and the median coincide.
2. The median of a data set is always one of the observations.
Which of the statements given above is/are correct?

A. $1$ only
B. $2$ only
C. Both $1$ and $2$
D. Neither $1$ nor $2$

Show answer and solution

Answer: (A) $1$ only

1: in a symmetric distribution the mean and median both lie at the centre of symmetry. 2: for an even number of observations the median is the average of the two middle values and need not be an observation, e.g. the median of

1,2,3,4

2.5

. Only statement 1 is correct.

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Original question written in the NDA 2017 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