Question

listed below are the measured radiation absorption rates (in w/kg) corresponding to 11 cell phones. use the given data to construct a box - plot and identify the 5 - number summary. 1.16 0.95 1.43 1.01 1.45 0.57 1.21 0.75 1.40 0.51 1.17 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

$0.51, 0.57, 0.75, 0.95, 1.01, 1.16, 1.21, 1.40, 1.43, 1.45, 1.70$

Step2: Find the minimum

The minimum value is $0.51$.

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 $Q_1 = 0.75$.

Step4: Find the median ($Q_2$)

The position of the median is $\frac{n + 1}{2}=\frac{11+1}{2}=6$. So $Q_2=1.16$.

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 $Q_3 = 1.43$.

Step6: Find the maximum

The maximum value is $1.70$.

Answer:

$0.51, 0.75, 1.16, 1.43, 1.70$