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Median of $$$11$$$, $$$8$$$, $$$9$$$, $$$2$$$, $$$11$$$, $$$8$$$, $$$9$$$, $$$5$$$, $$$3$$$

The calculator will find the median (percentile no. $$$50$$$) of $$$11$$$, $$$8$$$, $$$9$$$, $$$2$$$, $$$11$$$, $$$8$$$, $$$9$$$, $$$5$$$, $$$3$$$, with steps shown.

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Your Input

Find the median (percentile no. $$$50$$$) of $$$11$$$, $$$8$$$, $$$9$$$, $$$2$$$, $$$11$$$, $$$8$$$, $$$9$$$, $$$5$$$, $$$3$$$.

Solution

The first step is to sort the values.

The sorted values are $$$2$$$, $$$3$$$, $$$5$$$, $$$8$$$, $$$8$$$, $$$9$$$, $$$9$$$, $$$11$$$, $$$11$$$.

Next, the median value depends on the number of values. If the number of values is odd, the median is the "central" value among the sorted values. If the number of values is even, the median is the average of the two "central values".

We have $$$9$$$ values, so their number is odd.

Since the number is odd, the median is the "central value": $$$2$$$, $$$3$$$, $$$5$$$, $$$8$$$, $$${\color{red}8}$$$, $$$9$$$, $$$9$$$, $$$11$$$, $$$11$$$.

So, the median is $$$8$$$.

Answer

The median is $$$8$$$A.