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. 1.35 1.43 1.18 1.01 1.12 1.39 0.88 1.19 1.45 0.57 1.36
the 5 - number summary is , , , , and , all in w/kg. (use ascending order. type integers or decimals. do not round.)
which of the following boxplots best represents the data?
oa
ob
oc
od

Explanation:

Step1: Sort the data

0.57, 0.88, 1.01, 1.12, 1.18, 1.19, 1.35, 1.35, 1.39, 1.43, 1.45

Step2: Find the minimum

The minimum value is 0.57.

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

Since $n = 11$, the position of $Q_1$ is $\frac{n + 1}{4}=\frac{11+ 1}{4}=3$. So $Q_1 = 1.01$.

Step4: Find the median

The position of the median is $\frac{n + 1}{2}=\frac{11 + 1}{2}=6$. So the median is 1.19.

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 $Q_3 = 1.39$.

Step6: Find the maximum

The maximum value is 1.45.

Answer:

0.57, 1.01, 1.19, 1.39, 1.45