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. 1.31 0.98 1.03 0.68 1.27 0.59 0.87 1.13 1.44 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

$0.51, 0.53, 0.59, 0.68, 0.87, 0.98, 1.03, 1.13, 1.27, 1.31, 1.44$

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 $Q_1 = 0.59$.

Step4: Find the median

The position of the median is $\frac{n + 1}{2}=\frac{11+1}{2}=6$. So the median is $0.98$.

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 $Q_3=1.27$.

Step6: Find the maximum

The maximum value is $1.44$.

Answer:

$0.51, 0.59, 0.98, 1.27, 1.44$