The following twelve sample data values, with a mean value of 337, are provided: The sample variance is _____
A)308.92
B)30511.33
C)33285.00
D)1145154.08
E)1249259.00

Question

The following twelve sample data values, with a mean value of 337, are provided:  The sample variance is _____
A)308.92 
B)30511.33 
C)33285.00 
D)1145154.08 
E)1249259.00

Quizplus · Accepted Answer

The formula for sample variance is [(sum of (x-mean)^2) / (n-1)]. Without the specific data values, it is impossible to calculate the numerator of the formula, but we can use the given mean value and the number of data values (n=12) to calculate the sample variance. Applying the formula, we get [(sum of (x-337)^2) / (12-1)] = [(sum of (x-337)^2) / 11]. Therefore, we cannot determine the sample variance without additional information.

The Following Twelve Sample Data Values, with a Mean Value