The top speeds (in mph) for a sample of five new automobile brands are listed below. Calculate the standarddeviation of the speeds.160, 125, 190, 185, 105
A) 37.2 mph
B) 28,458.00 mph
C) 153.00 mph
D) 85 mph

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the average of the squared deviations from the mean. First, find the mean: (160 + 125 + 190 + 185 + 105) / 5 = 765 / 5 = 153. Then, calculate each deviation from the mean, square it, and find the average of those squares: [(160-153)^2 + (125-153)^2 + (190-153)^2 + (185-153)^2 + (105-153)^2] / 5 = 1385 / 5 = 277. Finally, take the square root of 277, which is approximately 37.2 mph.

The Top Speeds (In Mph) for a Sample of Five