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) Zero

Question

Quizplus · Accepted Answer

To find the sample variance, first calculate the mean: (4+2+5+4+5+2+6)/7 = 4. Next, find the squared differences from the mean: (4-4)², (2-4)², (5-4)², (4-4)², (5-4)², (2-4)², (6-4)². These are 0, 4, 1, 0, 1, 4, 4. The sum of these squared differences is 14. Divide by (n-1) = 6 to get the sample variance: 14/6 = 2.33.

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