Question

Male and female populations of elephantsunder 80 years old are represented by age inthe table below. Completo parts (a) through(d)(a) Approximate the population mean and standard deviation of age for males)(Round to two decimal places as needed.) )

Answer 1

Given:

From the table of values derived above;

The mean for males is;

`\begin{gathered} \bar{x}=\frac{\sum ^{}_{}fx}{n} \\ \bar{x}=(5774.5)/(141) \\ \bar{x}=40.95 \end{gathered}`

The standard deviation is;

Hence,

`\begin{gathered} \sigma=\sqrt[]{(300115.25-(5774.5^2)/(141))/(141)} \\ \sigma=\sqrt[]{(300115.25-236488.2996)/(141)} \\ \sigma=\sqrt[]{(63626.95035)/(141)} \\ \sigma=\sqrt[]{451.25497} \\ \sigma=21.243 \\ \\ To\text{ two decimal places,} \\ \sigma=21.24 \end{gathered}`

Therefore, the population standard deviation for males is 21.24