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. mid - range and d. mode for the data. also complete part e. 0.55 1.05 1.44 0.89 1.21 1.52 0.68 0.25 1.34 0.54 1.04
the mid - range is 0.885 (type an integer or decimal rounded to three decimal places as needed.)
d. find the mode
select the correct choice below and, if necessary, fill in the answer box within your choice
a. the mode(s) is (are)
(type an integer or a decimal. do not round. use a comma to separate answers as needed.)
b. there is no mode
e. if you are planning to purchase a cell phone, are any of the measures of center the most important statistic? is there another statistic that is most relevant? if so, which one?
a. the midpoint of the data set is the most important statistic because cell phones that have values close to it have the safest emissions
b. the mean of the data set is the most important statistic because cell phones that have values close to it have the safest emissions
c. the minimum data value is the most relevant statistic, because it is closest to the limit of 1.6w/kg and that cell phone should be purchased
d. the maximum data value is the most relevant statistic, because it is closest to the limit of 1.6w/kg and that cell phone should be avoided

Explanation:

Step1: Recall the definition of mode

The mode is the value that appears most frequently in a data - set.

Step2: Analyze the given data set

The data set is \(0.55, 1.05, 1.44, 0.89, 1.21, 1.52, 0.68, 0.25, 1.34, 0.54, 1.04\). Each value appears only once.

for part e:
The limit for cell - phone radiation is \(1.6\) W/kg. We want to avoid phones that are close to this limit. The maximum data value gives us the phone with the highest radiation emission among the ones measured. Phones with radiation emissions close to the limit of \(1.6\) W/kg should be avoided.

Answer:

B. There is no mode