Question

listed below are the measured radiation absorption rates (in w/kg) corresponding to 11 cell phones. use the given data to construct a boxplot and identify the 5 - number summary.
1.21 1.44 0.93 0.61 0.67 1.25 0.89 1.04 1.41 0.52 1.34
the 5 - number summary is \\( \square, \square, \square, \square \\), and \\( \square \\), all in w/kg.
(use ascending order. type integers or decimals. do not round.)

Explanation:

Step1: Sort the data

First, sort the data in ascending order: \(0.52, 0.61, 0.67, 0.89, 0.93, 1.04, 1.21, 1.25, 1.34, 1.41, 1.44\)

Step2: Find the minimum value

The minimum value (\(Q_0\)) is the first value in the sorted list. So, \(Q_0 = 0.52\)

Step3: Find the first quartile (\(Q_1\))

The formula for the position of \(Q_1\) is \(\frac{n + 1}{4}\) where \(n=11\). \(\frac{11 + 1}{4}=3\). The third - value in the sorted list is \(Q_1 = 0.67\)

Step4: Find the median (\(Q_2\))

The formula for the position of the median is \(\frac{n + 1}{2}\) where \(n = 11\). \(\frac{11+1}{2}=6\). The sixth - value in the sorted list is \(Q_2=1.04\)

Step5: Find the third quartile (\(Q_3\))

The formula for the position of \(Q_3\) is \(\frac{3(n + 1)}{4}\) where \(n = 11\). \(\frac{3(11 + 1)}{4}=9\). The ninth - value in the sorted list is \(Q_3 = 1.34\)

Step6: Find the maximum value

The maximum value (\(Q_4\)) is the last value in the sorted list. So, \(Q_4 = 1.44\)

Answer:

\(0.52\), \(0.67\), \(1.04\), \(1.34\), \(1.44\)