# 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.

Related 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.

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).

Minimum: $2$A.
Lower (first) quartile: $5$A.
Median (second quartile): $8$A.
Upper (third) quartile): $9$A.
Maximum: $11$A.