Question

The mode and median of the following data $21,23,25,23,21,24,22,20,23$ respectively, are?

• A. $23,23$
• B. $21,23$
• C. $25,21$
• D. $23,21$

Answer 1

The correct option is B

$21,23$

Given data $21,23,25,23,21,24,22,20,23$

The mode is the value that is repeatedly occurring in a given set.

Here $23$ is the most repeating data.

Mode = $23$

Median is the middle value of the given list of data when arranged in an order (increasing or decreasing ) .

$20,21,21,22,23,23,23,24,25$

Here number of terms $=9$ terms (odd)

So median $={\left(\frac{n+1}{2}\right)}^{th}$term

$={\left(\frac{9+1}{2}\right)}^{th}$term

$=5^{th}term=23$

Median= $23$

Hence option (B) $23,23$ is the answer.