Lower quartile of $$$23$$$, $$$24$$$, $$$21$$$, $$$20$$$

The calculator will find the lower (first) quartile (percentile no. $$$25$$$) of $$$23$$$, $$$24$$$, $$$21$$$, $$$20$$$, with steps shown.

Related calculators: Upper Quartile Calculator, Five Number Summary Calculator, Box and Whisker Plot Calculator

Comma-separated.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the lower quartile of $$$23$$$, $$$24$$$, $$$21$$$, $$$20$$$.

Solution

The lower (first) quartile $$$Q_{1}$$$ is equal to the percentile no. $$$25$$$.

The percentile no. $$$25$$$ is $$$\frac{41}{2}$$$ (for steps, see percentile calculator).

Answer

$$$Q_{1} = \frac{41}{2} = 20.5$$$A