Find the sample standard deviation.
-5, 2, 18, 20, 10, 15, 15, 19, 9
A) 40.8
B) 6.0
C) 36.2
D) 6.4

Question

Quizplus · Accepted Answer

The sample standard deviation is calculated by taking the square root of the variance. First, find the mean (average) of the data set: (5 + 2 + 18 + 20 + 10 + 15 + 15 + 19 + 9) / 9 = 113 / 9 = 12.56. Then, calculate each data point's deviation from the mean, square those deviations, sum them, divide by the number of data points minus one (n-1 for sample standard deviation), and finally take the square root. Doing this calculation gives a sample standard deviation of approximately 6.4.

Find the Sample Standard Deviation