Answer:
Sample mean = 65.86
Sample standard deviation, s = 12.16
Step-by-step explanation:
We are given the following in the question:
84, 49, 61, 40, 83, 67, 45, 66, 70, 69, 80, 58, 68, 60, 67, 72, 73, 70, 57, 63, 70, 78, 52, 67, 53, 67, 75, 61, 70, 81, 76, 79, 75, 76, 58, 31
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]\bar{x} =\displaystyle\frac{2371}{36} = 65.86[/tex]
Sum of squares of differences = 5174.30
[tex]s = \sqrt{\dfrac{5174.30}{35}} = 12.16[/tex]
