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. 1.27 0.72 0.82 1.33 0.74 0.62 0.79 1.28 1.49 0.51 0.53 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

0.51, 0.53, 0.62, 0.72, 0.74, 0.79, 0.82, 1.27, 1.28, 1.33, 1.49

Step2: Find the minimum

The minimum value is 0.51.

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

There are $n = 11$ data points. The position of $Q_1$ is $\frac{n + 1}{4}=\frac{11+ 1}{4}=3$. So $Q_1=0.62$.

Step4: Find the median

The position of the median is $\frac{n + 1}{2}=\frac{11+1}{2}=6$. So the median is 0.79.

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

The position of $Q_3$ is $\frac{3(n + 1)}{4}=\frac{3\times(11 + 1)}{4}=9$. So $Q_3=1.28$.

Step6: Find the maximum

The maximum value is 1.49.

Answer:

0.51, 0.62, 0.79, 1.28, 1.49