Question

find the following descriptive statistics of the boxplot below: minimum value: first quartile: median: third quartile: maximum value: range: interquartile range:

Explanation:

Step1: Identify Minimum Value

The left - most point of the whisker is the minimum value. From the box - plot, it is \(12\).

Step2: Identify First Quartile (\(Q_1\))

The left - hand side of the box is the first quartile. It is \(14\).

Step3: Identify Median

The line inside the box is the median. It is \(16\).

Step4: Identify Third Quartile (\(Q_3\))

The right - hand side of the box is the third quartile. It is \(18\).

Step5: Identify Maximum Value

The right - most point of the whisker is the maximum value. It is \(19\).

Step6: Calculate Range

Range = Maximum - Minimum. So, \(19−12 = 7\).

Step7: Calculate Inter - quartile Range (IQR)

IQR=\(Q_3 - Q_1\). So, \(18−14=4\).

Answer:

Minimum Value: \(12\)
First Quartile: \(14\)
Median: \(16\)
Third Quartile: \(18\)
Maximum Value: \(19\)
Range: \(7\)
Interquartile Range: \(4\)