Question

For the set of scores 3, 3, 3, 7 and 7, the variance equals

a) 2.0
b) 3.2
c) 4.0
d) 16.0

Answer 1

The variance of the given set of scores is 4.0.

Step-by-step explanation:

To calculate the variance, start by finding the mean of the set of scores, which is (3+3+3+7+7)/5 = 5. Then, subtract the mean from each score and square the result: (3-5)^2 = 4, (3-5)^2 = 4, (3-5)^2 = 4, (7-5)^2 = 4, and (7-5)^2 = 4. Next, find the average of these squared differences: (4+4+4+4+4)/5 = 4. Therefore, the variance is 4.0.