Answer:
The standard deviation for given sample is 7.97
Step-by-step explanation:
We are given the following data set:
23, 20, 14, 35, 28
Formula:
[tex]\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}[/tex]
where [tex]x_i[/tex] are data points, [tex]\bar{x}[/tex] is the mean and n is the number of observations.
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{120}{5} = 24[/tex]
Sum of squares of differences = 1 + 16 + 100 + 121 + 16 = 254
[tex]S.D = \sqrt{\dfrac{254}{4}} = 7.97[/tex]
The standard deviation for given sample is 7.97
