Answer:
15.94490514
Step-by-step explanation:
First, work out the average, or arithmetic mean, of the numbers:
Count: 5(How many numbers)
Sum: 357(All the numbers added up)
Mean: 71.4(Arithmetic mean = Sum / Count)
Then, take each number, subtract the mean and square the result:
Differences:
4.6, -26.4, -7.4, 8.6, 20.6
(Every Number minus Mean)
Differences^2:
21.16, 696.96, 54.76, 73.96, 424.36
(Square of each difference)
Now calculate the Variance:
Sum of Differences2:1271.2(Add up the Squared Differences)
Variance:254.24(Sum of Differences2 / Count)
Lastly, take the square root of the Variance:
Standard Deviation:15.94490514 (The square root of the Variance)
