What is the standard deviation (s) for this set of data? 11, 7, 8, 12
A) 2.06
B) 2.38
C) 5.67
D) 9.50

Question

Quizplus · Accepted Answer

1. Find the mean = (11+7+8+12)/4 = 9.5
2. Find the variance:
    - Subtract the mean from each value: (11-9.5)^2 + (7-9.5)^2 + (8-9.5)^2 + (12-9.5)^2 = 10.5 + 6.25 + 2.25 + 6.25 = 25.25
    - Divide by the number of values: 25.25/4 = 6.3125
3. Find the standard deviation = sqrt(variance) = sqrt(6.3125) = 2.38
Therefore, the answer is B.

What Is the Standard Deviation (S) for This Set of Data