Step 1
Given;
Required;
Step 2
The range is the difference between the biggest data and the smallest data.
[tex]32-4=28[/tex]
Population variance is a measure of the spread of population data. Hence, population variance can be defined as the average of the distances from each data point in a particular population to the mean squared, and it indicates how data points are spread out in the population. It is given as;
The population variance will be;
[tex]\begin{gathered} Mean=10 \\ Population\text{ variance=56.6} \end{gathered}[/tex]
Step 3
Population standard deviation looks at the square root of the variance of the set of numbers. It's used to determine a confidence interval for drawing conclusions (such as accepting or rejecting a hypothesis). A slightly more complex calculation is called sample standard deviation.
It is given by;
[tex]Population\text{ standard deviation }\approx\text{7.5233}[/tex]
Answer;
[tex]\begin{gathered} Range=28 \\ Population\text{ variance=56.6} \\ Popukation\text{ standard deviation}\approx7.5\text{ to 1 decimal places} \end{gathered}[/tex]
