Five number summary for $$$11$$$, $$$8$$$, $$$9$$$, $$$2$$$, $$$11$$$, $$$8$$$, $$$9$$$, $$$5$$$, $$$3$$$

The calculator will find the five number summary for $$$11$$$, $$$8$$$, $$$9$$$, $$$2$$$, $$$11$$$, $$$8$$$, $$$9$$$, $$$5$$$, $$$3$$$, with steps shown.

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Find the 5 number summary of $$$11$$$, $$$8$$$, $$$9$$$, $$$2$$$, $$$11$$$, $$$8$$$, $$$9$$$, $$$5$$$, $$$3$$$.

Solution

The first step is to sort the values.

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

Now we immediately see that the minimum value is $$$2$$$ and the maximum value is $$$11$$$.

The first quartile $$$Q_{1}$$$ is $$$5$$$ (for steps, see lower quartile calculator).

The median (second quartile) is $$$8$$$ (for steps, see median calculator).

The third quartile $$$Q_{3}$$$ is $$$9$$$ (for steps, see upper quartile calculator).

Answer

Minimum: $$$2$$$A.

Lower (first) quartile: $$$5$$$A.

Median (second quartile): $$$8$$$A.

Upper (third) quartile): $$$9$$$A.

Maximum: $$$11$$$A.