Data Set 4-7: These are all the scores that exist for an entire group. 1, 0, 5, 6
-The standard deviation of the scores in Data Set 4-7 is
A) 2.55
B) 2.94
C) 6.50
D) 8.67

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the average of the squared deviations from the mean. For the given data set (1, 0, 5, 6), the mean is (1+0+5+6)/4 = 3. The squared deviations from the mean are (1-3)^2 = 4, (0-3)^2 = 9, (5-3)^2 = 4, and (6-3)^2 = 9. The average of these squared deviations is (4+9+4+9)/4 = 6.5. The square root of 6.5 is approximately 2.55, which matches choice A.

Data Set 4-7: These Are All the Scores That Exist