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=(SumSquares)/(n)`
`s^2=(82.5)/(10)`
`s^2=8.25`

rounded

population variance = 8.3

population standar deviation is given by

`std=\sqrt{(SumSquares)/(n)}`
`std=√(8.25)`
`std=2.872`

rounded

population standar deviation= 2.9