Question

find the standard deviation of 3, 7, 4, 6, 5 if necessary, round your answer to the nearest tenth

Answer 1

3, 7, 4, 6, 5

First, find the mean.

Mean = Sum of the values / number of values

Mean = (3+7+4+6+5) /5 = 25/5 = 5

Then, find the variance:

Calculate each value difference from the mean

5-3 = 2

7-5 = 2

5-4= 1

6-5=1

5-5= 0

Square each difference, add them, and divide by the number of values.

Variance : (2^2+2^2+1^2+1^2+0^2 )/ 5 = (4+4+1+1) /5 = 10 /5 = 2

Standard deviation= square root of the variance:

√2 = 1.4