SOLUTION: Below are the times (in days) it takes for a sample of 5 customers from Jack's computer store to pay their invoices. 44,41,20,24,41 Find the standard deviation of this s

Algebra ->  Probability-and-statistics -> SOLUTION: Below are the times (in days) it takes for a sample of 5 customers from Jack's computer store to pay their invoices. 44,41,20,24,41 Find the standard deviation of this s      Log On


   

Question 178753: Below are the times (in days) it takes for a sample of 5 customers from Jack's computer store to pay their invoices.
44,41,20,24,41

Find the standard deviation of this sample of times. Round your answer to at least two decimal places.



Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First find the average.
x%5Bave%5D=%2844%2B41%2B20%2B24%2B41%29%2F5=34
Now for each sample, find the difference between the value and the average.
x%5B1%5D-x%5Bave%5D=+44-34=10 then square it 100
x%5B2%5D-x%5Bave%5D=+41-34=7 then square it 49
x%5B3%5D-x%5Bave%5D=+20-34=-14 then square it 256
x%5B4%5D-x%5Bave%5D=+24-34=-10 then square it 100
x%5B5%5D-x%5Bave%5D=+41-34=7 then square it 49
Sum those values,
100%2B49%2B256%2B100%2B49=494
The standard deviation is then,
SD=sqrt%28%28sum%28%28x-x%5Bave%5D%29%5E2%29%29%2F%28n%29%29=sqrt%28494%2F%285%29%29=9.94