Answer:
The standard deviation of this sample is 25.35
Step-by-step explanation:
Standard deviation for a sample:
Square root of the sum of the squared differences between each value and the mean, and divided by one less than sample size.
Finding the mean:
The mean is the sum of all values divided by the number of values.
In this question, there are 10 values. So
[tex]M = \frac{73+19+16+64+28+31+90+60+56+28}{10} = 46.5[/tex]
Standard deviation:
[tex]s = \sqrt{\frac{(73-46.5)^2+(19-46.5)^2+(16-46.5)^2+(64-46.5)^2+(28-46.5)^2+(31-46.5)^2+(90-46.5)^2+(60-46.5)^2+(56-46.5)^2+(28-46.5)^2}{9}} = 25.35[/tex]
The standard deviation of this sample is 25.35
