What is the standard deviation (s) for this set of data? 3.48, 4.60, 3.93, 4.85, 3.15
A) .72
B) 4.00
C) .52
D) .65

Question

Quizplus · Accepted Answer

The standard deviation (s) is calculated by finding the mean (average) of the data set, subtracting the mean from each data point and squaring the result, finding the average of those squared differences, and then taking the square root of that average. For this data set, the mean is 4.002, the squared differences from the mean are 0.2704, 0.3584, 0.0049, 0.7184, and 0.7056 respectively. The average of these squared differences is 0.41154, and the square root of 0.41154 is approximately 0.72, making option A correct.

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