Question

use the boxplot shown below to determine the five - number summary.
6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
minimum
$q_1$
median
$q_3$
maximum

Explanation:

Step1: Identify minimum

The left - most end of the whisker represents the minimum value. Looking at the box - plot, the minimum is 6.

Step2: Identify Q1

The left - hand side of the box represents the first quartile ($Q_1$). Here, $Q_1 = 12$.

Step3: Identify median

The line inside the box represents the median. So, the median is 14.

Step4: Identify Q3

The right - hand side of the box represents the third quartile ($Q_3$). Thus, $Q_3 = 16$.

Step5: Identify maximum

The right - most end of the whisker represents the maximum value. The maximum is 20.

Answer:

Minimum: 6
$Q_1$: 12
Median: 14
$Q_3$: 16
Maximum: 20