Respuesta :
Answer: 10 years old
Standard deviation 4.9
Step-by-step explanation:
Khan academy
Using statistical concepts, it is found that:
- The average age of gorillas in the zoo is of 10 years.
- The variance is of 4.38 years squared.
- The mean of a data-set is given by the sum of all observations divided by the number of observations.
- The variance of a data-set is given by the sum of the differences squared between each observation and the mean, divided by the number of values.
In this problem, the data-set is: 8, 4, 14, 16, 8.
The mean is:
[tex]M = \frac{8 + 4 + 14 + 16 + 8}{5} = 10[/tex]
Thus, the average age of gorillas in the zoo is of 10 years.
The variance is:
[tex]V = \frac{(8 - 10)^2 + (4 - 10)^2 + (14 - 10)^2 + (16 - 10)^2 + (8 - 10)^2}{5} = 4.38[/tex]
The variance is of 4.38 years squared.
A similar problem is given at https://brainly.com/question/13202035
