Six students from a psychology class reported the number of hours of television they watch per week.Here are their data: 18, 12, 15, 14, 13, 16.What is the standard deviation of the number of hours of television watched per week for this sample of six students?
A) 1.97
B) 3.89
C) 14.67
D) 23.33

Question

Quizplus · Accepted Answer

The standard deviation is calculated by finding the square root of the variance. First, find the mean (average) of the data: (18 + 12 + 15 + 14 + 13 + 16) / 6 = 88 / 6 = 14.67. Then, calculate each data point's deviation from the mean, square those deviations, sum them, divide by the number of data points, and finally take the square root. The calculations give a standard deviation of approximately 1.97.

Six Students from a Psychology Class Reported the Number of Hours