Question

The ages (in years) of the 5 doctors at a local clinic are the following30, 40, 39, 36, 30Assuming that these ages constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places

Answer 1

For this case we have the following data:

30, 40, 39, 36, 30

Representing the ages (in years) of the 5 doctors at a local clinic

these values represent an entire population, and we want to find the standard deviation of the population

1) First we need to calculate the mean

`\mu=(30+40+39+36+30)/(5)=35`

2) Now we can find the population variance like this:

`\sigma^2=((30-35)^2+(40-35)^2+(39-35)^2+(36-35)^2+(30-35)^2)/(5)=(92)/(5)=18.4`

3) Calculate the population standard deviation

`\sigma=\sqrt[]{18.4}=4.29`

then the answer would be:

4.29