Central Tendency & DispersionMTP May 20Question 2973 of 473

In case of an even number of observations which of the following is median?

Options

AAny of the two middle-most value

BThe simple average of these two middle values

CThe weighted average of these two middle values

DAny of these

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Correct Answer

✅ Option b — The simple average of these two middle values

All Options:

AAny of the two middle-most value
BThe simple average of these two middle values
CThe weighted average of these two middle values
DAny of these

Detailed Solution & Explanation

In the case of an even number of observations

\displaystyle n

, there is no single middle-most value. Instead, there are two middle-most values, located at positions

\displaystyle \frac{n}{2}

and

\displaystyle \frac{n}{2} + 1

. By convention, the median is defined as the simple arithmetic average (simple mean) of these two middle values. Hence, **Option B** is the correct answer.

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