Find the standard deviation of the data se.

Question

Round your answer to the nearest tenth.

41, 44, 43, 39, 50, 54, 44, 46

Answer 1

Given numbers are 41, 44, 43, 39, 50, 54, 44, 46

First find out mean

Mean = 41+44+43+39+50+54+44+46/8

        = 361/8

       = 45

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

(41-45)^2 = (-3)^2 = 9                                 

(44-45)^2 = (-1)^2 = 1

(43-45)^2 = (-2)^2 = 4

(39-45)^2 = (-6)^2 = 36

(50-45)^2 = (5)^2 = 25

(54-45)^2 = (9)^2 = 81

(44-45)^2 = (-1)^2 = 1

(46-45)^2 = (1)^2 = 1

Next, compute the mean of these values and take the square root:

Mean = 9+1+4+36+25+81+1+1/8

        = 158/8

       = 19.75

standard deviation: 

sqrt 19.75 = 4.4 

4.4 is rounded to 4

The standard deviation of given numbers is 4.