Respuesta :
If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.
What is a standard deviation?
It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.
The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.
84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82
The mean will be
N = 13
[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]
Then the standard deviation will be
[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]
More about the standard deviation link is given below.
https://brainly.com/question/12402189
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