Respuesta :
The standard deviation for this set of population data is 6.9. 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 number of cars sold at a dealership over several weeks is given below.
14, 23, 31, 29, 33.
Then the mean will be
[tex]\mu = \dfrac{14+23+31+29+33}{5}\\\\\\\mu = \dfrac{130}{5}\\\\\\\mu = 26[/tex]
Then the standard deviation is given as
[tex]\sigma = \sqrt {\dfrac{\Sigma _{i=1}^n(x_i - \mu)^2}{n}}\\\\\\\sigma = \sqrt{\dfrac{(14-26)^2+ (23-26)^2+ (31-26)^2+ (29-26)^2+ (33-26)^2}{5}}\\\\\\\sigma = \sqrt{\dfrac{236}{5}}\\\\\\\sigma = \sqrt{47.2}\\\\\\\sigma = 6.87 \approx 6.9[/tex]
The standard deviation for this set of population data is 6.9. Then the correct option is A.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
