Question

listed below are the measured radiation emissions (in w/kg) corresponding to cell phones a, b, c, d, e, f, g, h, i, j, and k respectively. the media often present reports about the dangers of cell - phone radiation as a cause of cancer. cell - phone radiation must be 1.6 w/kg or less. find the a. mean, b. median, c. midrange, and d. mode for the data. also complete part e.
0.45 0.23 0.55 0.29 1.44 0.78 1.33 0.42 1.15 0.66 1.22

a. find the mean.
the mean is
(type an integer or decimal rounded to three decimal places as needed.)

Explanation:

Step1: Recall the mean formula

The mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. Here, $n = 11$ and the data points are $x_1=0.45,x_2 = 0.23,x_3=0.55,x_4=0.29,x_5 = 1.44,x_6=0.78,x_7=1.33,x_8=0.42,x_9=1.15,x_{10}=0.66,x_{11}=1.22$.

Step2: Calculate the sum of data - points

$\sum_{i = 1}^{11}x_{i}=0.45 + 0.23+0.55+0.29+1.44+0.78+1.33+0.42+1.15+0.66+1.22=8.52$.

Step3: Calculate the mean

$\bar{x}=\frac{\sum_{i = 1}^{11}x_{i}}{11}=\frac{8.52}{11}\approx0.775$.

Answer:

$0.775$