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.
1.31 1.07 1.25 0.74 1.21 1.02 0.61 1.46 1.47 0.51 0.50
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

0.50, 0.51, 0.61, 0.74, 1.02, 1.07, 1.21, 1.25, 1.31, 1.45, 1.47

Step2: Find the minimum

The minimum value is 0.50.

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 $Q_1 = 0.61$.

Step4: Find the median

The position of the median is $\frac{n + 1}{2}=\frac{11 + 1}{2}=6$. So the median is 1.07.

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 $Q_3=1.25$.

Step6: Find the maximum

The maximum value is 1.47.

Answer:

0.50, 0.61, 1.07, 1.25, 1.47