For the data set below, calculate the variance to the nearest hundredth decimal place. 27 38 47 42 33 56 37 57 38 52

The variance of the data set will be given by:

Var=Σ (x-μ) ² / (n-1)

mean = (27+38+47+42+33+56+37+57+38+52) / 10=42.7

Σ (x-μ) ² = (27-42.7) ² + (38-42.7) ² + (47-42.7) ² + (42-42.7) ² + (33-42.7) ² + (56-42.7) ² + (37-42.7) ² + (57-42.7) ² + (38-42.7) ² + (52-42.7) ²

=904.1

Thus variance will be:

904.1 / (10-1)

=100.45555556

~100.5