The ages of the 5 sample of gorillas are:
8, 4, 14, 16, 8
The average age of the gorillas
[tex]\begin{gathered} Average,\text{ \mu = }\frac{8+4+14+16+8}{5} \\ \\ \mu=\frac{50}{5} \\ \\ \mu=10 \end{gathered}[/tex]The standard deviation of a sample is calculated with the formula:
[tex]\begin{gathered} \sigma=\sqrt{\frac{\sum_^(x_i-\mu)^2}{N-1}} \\ \\ \sigma=\sqrt{\frac{(8-4)^2+(4-4)^2+(14-4)^2+(16-4)^2+(8-4)^2}{5-1}} \\ \\ \sigma=\sqrt{\frac{16+100+144+16}{4}} \\ \\ \sigma=\sqrt{\frac{276}{4}} \\ \\ \sigma=\sqrt{69} \\ \\ \sigma=8.3 \end{gathered}[/tex]