Question

For the data set 61, 32, 50, 73, 51, 42, 55, 65, 59, 57 find the standard deviation accurate to one decimal place. Make sure you work this problem by hand with the formula I introduced in class. Do not cheat yourself out of learning!

Sample Mean =

Sum of squared deviations =

Denominator =

Standard Deviation =

Answer 1

Since we know that

Where n is the number of data points
Now

and n = 10
This implies that

Since we know that

Sample mean = 54.5

sum of squared error = 1216.5

Denominator = 9

standard error = 11.6261
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