The top speeds for a sample of five new automobiles are listed below. Calculate the standard deviation of the speeds. Round to four decimal places.
195, 135, 200, 190, 150
A)276.6903
B)29.4534
C)196.6443
D)155.51

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the mean (average) speed first, which is (195 + 135 + 200 + 190 + 150) / 5 = 174. Then, for each speed, subtract the mean and square the result, sum these squared differences, divide by the number of speeds (5), and finally take the square root. The calculation gives a standard deviation of 29.4534.

The Top Speeds for a Sample of Five New Automobiles