A commuter travels many kilometres to work each morning.She has timed this trip 5 times during the last month.The time (in minutes)required to make this trip was 44, 39, 41, 35, and 41.The mean time required for this trip was 40 minutes.What is the variance for this sample data?
A)8.8
B)11
C)0
D)3
E)-2

Question

Quizplus · Accepted Answer

1. Calculate the deviations of each data point from the mean:
   Deviations: (44-40)=4, (39-40)=-1, (41-40)=1, (35-40)=-5, (41-40)=1
2. Square each deviation: 
   Squared Deviations: 16, 1, 1, 25, 1 
3. Sum the squared deviations: 
   Sum of Squared Deviations=44
4. Divide by the number of data points minus 1 to get the sample variance: 
   Sample variance = Sum of Squared Deviations / (Number of Data Points -1) = 44 / 4 = 11.

A Commuter Travels Many Kilometres to Work Each Morning