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. 0.49 0.23 0.55 0.29 1.44 0.78 1.33 0.42 1.16 0.66 1.22
the midrange is 0.835 (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 mean of the data set is the most important statistic because cell phones that have values close to it have the safest emissions.
b. 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.
c. 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.
d. the midpoint of the data set is the most important statistic because cell phones that have values close to it have the safest emissions.

Explanation:

Step1: Recall mode definition

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

Step2: Check frequency of each value

The data set is \(0.49, 0.23, 0.55, 0.29, 1.44, 0.78, 1.33, 0.42, 1.16, 0.66, 1.22\). Each value appears only once.

The mean gives an average of all the radiation emissions, but it doesn't directly tell us about safety in relation to the limit. The median is the middle - value and also doesn't directly relate to the safety limit in a clear way for purchasing a phone. The mid - range is just the average of the maximum and minimum values and is not the most relevant for safety. The maximum data value is the most relevant statistic because we want to avoid a phone with radiation emissions close to or exceeding the limit of \(1.6\) W/kg.

Answer:

B. There is no mode