Answer:
Sample Variance = 6.008
Sample standard deviation = 2.451
Step-by-step explanation:
We are given the following in the question:
10.6, 12.6, 14.8, 18.2, 12.0, 14.8, 12.2, 15.6
Formula:
[tex]\text{Variance} = \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{110.8}{8} = 13.85[/tex]
Sum of squares of differences = 42.06
[tex]s^2 = \dfrac{42.06}{7} = 6.008[/tex]
Standard Deviation =
[tex]s = \sqrt{s^2} = \sqrt{6.008} = 2.451[/tex]
