Answer:
The standard deviation of this sample is 25.35
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
Standard deviation:
![s = \sqrt{((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]()
The standard deviation of this sample is 25.35