If the average of sample data 3, 6, a, 4 and 2 is 5, then the variance of this sample is () A. 8B. 5C. 22D. 3

If the average of sample data 3, 6, a, 4 and 2 is 5, then the variance of this sample is () A. 8B. 5C. 22D. 3

The average of ∵ 3, 6, a, 4, 2 is 5, ∵ a = 10, ∵ variance S2 = 15 [(3-5) 2 + (6-5) 2 + (10-5) 2 + (4-5) 2 + (2-5) 2] = 15 × 40 = 8