standard deviation

Question

Find the standard deviation of the data set. Round your answer to the nearest tenth.

100, 94, 95, 89, 92, 83, 92

Answer 1

To find the standerd deviation data set :

Mean of the numbers = 100+94+95+89+92+83+92/7

                              = 641/7

                              =92.14   

To calculate the data set standard deviation, first compute the difference of each data point from the mean, and square the result of each:

(100-92)^2 = 8^2 = 64

(94-92)^2 = 2^2 = 4

(95-92)^2 = 3^2 = 9

(89-92)^2 = (-3)^2 = 9

(92-92)^2 = 0^2 = 0

(83-92)^2 = (-9)^2 = 81

(92-92)^2 = 0^2 = 0

Next compute the mean these values and take the sqare root.

= 64+4+9+9+0+81+0/7

= 167/7

= 23.8

Sqare root of 23.8 is nearest to 5

The standard deviation of the data set, Round  to the nearest tenth.

100, 94, 95, 89, 92, 83, 92 is 5