Question

based on the boxplot above, identify the 5 - number summary.
minimum:
$q_1$:
median:
$q_3$:
maximum:
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Explanation:

Step1: Identify the minimum value

The left - most point of the boxplot represents the minimum. From the boxplot, the minimum is \(5\).

Step2: Identify \(Q_1\)

The left - end of the box represents \(Q_1\). Here, \(Q_1 = 10\).

Step3: Identify the median

The line inside the box represents the median. So, the median is \(16.5\).

Step4: Identify \(Q_3\)

The right - end of the box represents \(Q_3\). Thus, \(Q_3=20\).

Step5: Identify the maximum value

The right - most point (excluding outliers) of the boxplot represents the maximum. Here, the maximum is \(21\).

Answer:

Minimum: \(5\)
\(Q_1\): \(10\)
Median: \(16.5\)
\(Q_3\): \(20\)
Maximum: \(21\)