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1. The following table presents the number of sick-leave days taken last year by police officers in the Patrol Division 1 of the Police Department in Normal, Oklahoma.
Number of days of sick leave taken Number of police officers Patrol Division 1
0-2 43-5 76-8 79-11 1412-14 6
a. Calculate the mean number of sick leave days per police officer, the variance, and the standard deviation of the mean
b. Knowing that the number of sick leave days used per police officer per year in Normal, OK is 6.7, would you say that the Patrol Division 1 of the Police Department is abusing its sick leave? Explain.
c. What would you say is the typical (most frequent) number of days of sick leave taken by officers in the patrol division?[Hint: If you use Excel to obtain the measures of central tendency and dispersion, your X (number of days of sick leave taken) should be replaced with the mid-point corresponding to each interval]
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