Consider a population with data values of . The population variance is closest to:
A)8.00
B)8.64
C)64.00
D)74.67

Question

Consider a population with data values of  . The population variance is closest to:
A)8.00 
B)8.64 
C)64.00 
D)74.67

Quizplus · Accepted Answer

To calculate the population variance, we first need to find the mean. Adding up all the values gives us 11+14+10+10+4+14+10+8+16 = 97. Dividing by the number of values (9) gives us a mean of 10.78. Next, we need to calculate the sum of squares of deviations from the mean. These are: (11-10.78)^2, (14-10.78)^2, (10-10.78)^2, (10-10.78)^2, (4-10.78)^2, (14-10.78)^2, (10-10.78)^2, (8-10.78)^2, (16-10.78)^2. Adding these up gives us 375.72. Finally, we divide by the number of values to get the population variance: 375.72/9 = 41.75, which is closest to 64.00 (choice C).

Consider a Population with Data Values of