Here are the commutes (in miles) for a group of six students. Find the standard deviation.
14.7 16.3 34.0 33.7 22.6 16.0
Round to two decimal places.
A) 3141.91
B) 3540.25
C) 33.93
D) 8.93

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean of the data set: (14.7 + 16.3 + 34.0 + 33.7 + 22.6 + 16.0) / 6 = 22.88. Then, find the squared differences from the mean, sum them, divide by the number of observations, and finally take the square root. The correct calculation results in a standard deviation of approximately 8.93, not the large numbers or the other incorrect value provided in the other options.

Here Are the Commutes (In Miles) for a Group of Six