Question

based on the boxplot above, identify the 5 number summary

Explanation:

Step1: Identify the minimum value

The left - most point on the box - plot represents the minimum value. From the number line, the minimum value is \(12\).

Step2: Identify the first quartile (\(Q_1\))

The left - hand side of the box represents the first quartile. Here, \(Q_1 = 14\).

Step3: Identify the median (\(Q_2\))

The line inside the box represents the median. So, the median is \(16\).

Step4: Identify the third quartile (\(Q_3\))

The right - hand side of the box represents the third quartile. Thus, \(Q_3=18\).

Step5: Identify the maximum value

The right - most point on the box - plot represents the maximum value. From the number line, the maximum value is \(20\).

Answer:

\(12\), \(14\), \(16\), \(18\), \(20\)