Find the population variance and standard deviation for the following population. Round the answers to at least two decimal places. 14 5 12 4 26 27

σ² = 82.556; σ = 9.086

Step-by-step explanation:

It would be easy to do this in a statistical calculator. but I suspect they want you to do it by hand.

It helps to arrange your calculations in the form of a table.

1. Calculate the mean  (µ)

(a) Count the elements in the data set

n = 6

(b) Calculate the sum of the terms

(c) Divide the sum by the number of terms

2. Calculate the variance

(a) Subtract the mean from each data point

(b) Square the differences

(c) Add the squares

(d) Divide the sum by the number of terms

3. Calculate the standard deviation

The standard deviation is the square root of the variance.

x = 25

step-by-step explanation:

a^2+b^2=c^2

7^2+24^2=c^2

49+576=625

sqrt625=25

x=25