Answer: 13.1
Explanation:
The data set we have is:
[tex]\left\{ 7.39,8.69,9.28,9.66,10.20,10.84,12.15,36.44\right\} [/tex]To calculate the mean, we need to add all the quantities and divide by the number of elements in the data set:
[tex]Mean=\frac{sum\text{ of all the data}}{number\text{ of elements}}[/tex]The number of elements in the data set is: 8 elements
And the sum of all the data is:
[tex]7.39+8.69+9.28+9.66+10.20+10.84+12.15+36.44=104.65[/tex]So, we substitute this into the Mean formula, and get the following result:
[tex]\begin{gathered} Mean=\frac{104.65}{8} \\ Mean=13.081 \end{gathered}[/tex]Rounding to the nearest tenth (1 decimal place):
[tex]Mean=13.1[/tex]Answer: 13.1