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. Data: 0.59, 1.16, 0.73, 0.77, 0.78, 1.19, 1.36, 1.14, 0.37, 1.12, 1.02

Answer 1

Solution:

a. The mean is:

$Mean=\frac{0.59+1.16+0.73+0.77+0.78+1.19+1.36+1.14+0.37+1.12+1.02}{11}$

$=\frac{10.23}{11}=0.93$

b. The median is:

First, we need to sort the data in ascending order as:

$0.37,0.59,0.73,0.77,0.78,1.02,1.12,1.14,1.16,1.19,1.36$

Now the median is:

$Median=\left ( \frac{N+1}{2} \right )^{th} item$

$=\left ( \frac{11+1}{2} \right )^{th} item$

$=\left ( 6\right )^{th} item$

$=1.02$

c. The midrange is:

$Midrange=\frac{Maximum+Minimum}{2}=\frac{1.36+0.37}{2}=0.865$

d. The mode is the observation which occurs the maximum number of times. But in the given data all the observations occur only once. Therefore, for the given data there is no mode.