The weights (in grams) of the contents of several small bottles are 4, 2, 5, 4, 5, 2 and 6. What is the sample variance?
A) 6.92
B) 4.80
C) 1.96
D) 2.33
E) None of the choices are correct.

Question

Quizplus · Accepted Answer

To calculate the sample variance, first find the mean of the data set: (4+2+5+4+5+2+6)/7 = 4. Next, calculate the squared deviations from the mean, sum them, and divide by the number of observations minus one: [(4-4)² + (2-4)² + (5-4)² + (4-4)² + (5-4)² + (2-4)² + (6-4)²] / (7-1) = 2.33.

The Weights (In Grams) of the Contents of Several Small