XYZ Corporation recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 5, 3, 4, 1, 4, 7, 2, 6, 3, 5. Find the standard deviation of the number of absences each week.
A)0.55
B)1.00
C)1.73
D)1.83

Question

Quizplus · Accepted Answer

1. Find the mean:

Mean = (5+3+4+1+4+7+2+6+3+5)/10 = 4.0

2. Calculate the deviation from the mean for each data point:

Deviation from the mean = data point - mean

For example, for the first data point (5), deviation from the mean = 5 - 4 = 1

Using this formula, we get the following deviations:

1, -1, 0, -3, 0, 3, -2, 2, -1, 1

3. Square each deviation:

1, 1, 0, 9, 0, 9, 4, 4, 1, 1

4. Find the mean of the squared deviations:

Mean of squared deviations = (1+1+0+9+0+9+4+4+1+1)/10 = 3.0

5. Take the square root of the mean of squared deviations to get the standard deviation:

Standard deviation = √(3.0) = 1.73

Therefore, the answer is C) 1.73.

XYZ Corporation Recorded the Number of Employee Absences Each Week