Question

A certain company recorded the number of employee absences each week over a period of 10 weeks. The result is the data list 3, 5, 1, 2, 2, 4, 7, 4, 5, 5. Find the mean and standard deviation of the number of absences per week. Round the standard deviation to two decimal places.

Answer 1

The table of the number of absences every week for 10 weeks:

3, 5, 1, 2, 2, 4, 7, 4, 5, 5

The mean can be calculated as:

Where xi is the ith element of the list and n is the number of elements.

Then, the mean is:

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

Mean = 3.8

Now, the standard deviation (std) is given by the formula:

Then, using the formula above, we obtain:

std = 1.72