For the given set, the average is 13.5 years, and the standard deviation is 17.02 years.
Here we know that the ages of the bears are {5, 4, 6, 39}, then the average of these 4 values is:
[tex]A = \frac{5 + 4 + 6 + 39}{4} = 13.5[/tex]
So the average age of the bears is 13.5 years.
The standard deviation for the given set will be:
[tex]S_X = \sqrt{\frac{(5 - 13.5)^2 + (4 - 13.5)^2 + (6 - 13.5)^2 + (39 - 13.5)^2}{4 - 1} } \\\\S_X = 17.02[/tex]
The standard deviation is 17.02 years.
If you want to learn more about sets of data, you can read:
https://brainly.com/question/475676