Five Number Summary Calculator

The calculator will find the five number summary for the given set of data (minimum value, first quartile, median, third quartile, maximum value), with steps shown.

Related calculator: Box and Whisker Plot Calculator

Comma-separated.

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Your Input

Find the 5 number summary of $$$1$$$, $$$-5$$$, $$$2$$$, $$$4$$$, $$$-3$$$, $$$6$$$, $$$7$$$, $$$0$$$, $$$2$$$, $$$5$$$, $$$-4$$$, $$$7$$$.

Solution

The first step is to sort the values.

The sorted values are $$$-5$$$, $$$-4$$$, $$$-3$$$, $$$0$$$, $$$1$$$, $$$2$$$, $$$2$$$, $$$4$$$, $$$5$$$, $$$6$$$, $$$7$$$, $$$7$$$.

Now we immediately see that the minimum value is $$$-5$$$ and the maximum value is $$$7$$$.

The first quartile $$$Q_{1}$$$ is $$$- \frac{3}{2}$$$ (for steps, see lower quartile calculator).

The median (second quartile) is $$$2$$$ (for steps, see median calculator).

The third quartile $$$Q_{3}$$$ is $$$\frac{11}{2}$$$ (for steps, see upper quartile calculator).

Answer

Minimum: $$$-5$$$A.

Lower (first) quartile: $$$- \frac{3}{2} = -1.5$$$A.

Median (second quartile): $$$2$$$A.

Upper (third) quartile): $$$\frac{11}{2} = 5.5$$$A.

Maximum: $$$7$$$A.