Question 477210


Finding the sample standard deviation:




First, subtract the sample mean from EVERY data value:

-9-(-3) = -6
-5-(-3) = -2
-4-(-3) = -1
-1-(-3) = 2
0-(-3) = 3
1-(-3) = 4




So the differences are: -6, -2, -1, 2, 3, 4 



Now square each difference:

(-6)^2 = 36
(-2)^2 = 4
(-1)^2 = 1
(2)^2 = 4
(3)^2 = 9
(4)^2 = 16




Now add up each square:

36+4+1+4+9+16 = 70



Now divide that sum by n-1 = 6-1 = 5 to get 70/5 = 14 



This value (14) is known as the sample variance. 



Finally, take the square root of 14 to get 3.74165738677394 and round to two places to get 3.74



So the sample standard deviation is 3.74