Question

based on the boxplot above, identify the 5 - number summary. minimum: q1: median: q3: maximum:

Explanation:

Step1: Identify minimum

The left - most value on the box - plot is the minimum. Looking at the number line, the minimum is 10.

Step2: Identify Q1

The left - hand side of the box represents the first quartile ($Q_1$). From the box - plot, $Q_1 = 13$.

Step3: Identify median

The line inside the box represents the median. Here, the median is 15.

Step4: Identify Q3

The right - hand side of the box represents the third quartile ($Q_3$). From the box - plot, $Q_3 = 17$.

Step5: Identify maximum

The right - most value on the box - plot is the maximum. Looking at the number line, the maximum is 20.

Answer:

Minimum: 10
$Q_1$: 13
Median: 15
$Q_3$: 17
Maximum: 20