Question

Calculate the population variance and population standard deviation for the following data said if necessary round to one more decimal place than the largest decimal

Answer 1

Given the dataset

2, 3, 4, 5, 6, 7, 8, 9, 10, 11

range is given by

$range=maxValue-MinValue$$range=11-2$$range=9$

Range=9

population variance is given by

$s^2=\frac{SumSquares}{n}$$s^2=\frac{82.5}{10}$$s^2=8.25$

rounded

population variance = 8.3

population standar deviation is given by

$std=\sqrt{\frac{SumSquares}{n}}$$std=\sqrt{8.25}$$std=2.872$

rounded

population standar deviation= 2.9