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. 1.33 1.10 1.45 0.87 0.64 1.48 0.72 0.99 1.40 0.53 1.28 the 5 - number summary is, , , and , all in w/kg. (use ascending order. type integers or decimals. do not round.)

Explanation:

Step1: Sort the data

0.53, 0.64, 0.72, 0.87, 0.99, 1.10, 1.28, 1.33, 1.40, 1.45, 1.48

Step2: Find the minimum

The minimum value is 0.53.

Step3: Find the first - quartile ($Q_1$)

There are $n = 11$ data points. The position of $Q_1$ is $i=\frac{1}{4}(n + 1)=\frac{1}{4}(11 + 1)=3$. So $Q_1$ is the 3rd value in the sorted list, which is 0.72.

Step4: Find the median ($Q_2$)

The position of the median is $i=\frac{n + 1}{2}=\frac{11+1}{2}=6$. So the median $Q_2$ is 1.10.

Step5: Find the third - quartile ($Q_3$)

The position of $Q_3$ is $i=\frac{3}{4}(n + 1)=\frac{3}{4}(11 + 1)=9$. So $Q_3$ is the 9th value in the sorted list, which is 1.40.

Step6: Find the maximum

The maximum value is 1.48.

Answer:

0.53, 0.72, 1.10, 1.40, 1.48