DUE within 10 minutes of the start of class...no exceptions Hand in this sheet.
ID: 3356406 • Letter: D
Question
DUE within 10 minutes of the start of class...no exceptions Hand in this sheet. Answers to number one should be done on this sheet. Answers to number two (back of sheet) are to be typcd on a separate sheet The box plots on this sheet are the number of sick days for employees with a standard (traditional) management style and the number of sick days for employees with a participative management sty (employees have a say in daily management). Use the plots to answer questions 1 and 2. Comparing Two Management Styles c Standard Management Participative Management 10 12 Number of Sick Days Determine the following values, remember units for each standard management partici pative management lowest value 5 first quartile second quartile l third quartile highest value 1-3-9Explanation / Answer
a.
The standard management has outlier present at with value 0. (seen as * outside the box)
b.
The median (2nd quartile) of standard management (7 days) is greater than the median of participative management (5 days).
c.
(i) Range of standard management = Highest value - Lowest value = 11 - 0 = 11 days
Range of participative management = Highest value - Lowest value = 8 - 1 = 7 days
So, the range of standard management is greater than the median of participative management.
(ii)
IQR of standard management = 3rd Quartile - 1st Quartile = 8 - 5 = 3 days
IQR of participative management = 3rd Quartile - 1st Quartile = 6 - 3.5 = 2.5 days
So, the IQR of standard management is greater than the median of participative management.
(iii)
As, both range and IQR of standard management is greater than that of participative management, standard management has more variability in the number of sick days as compared to other dataset.
(d)
(i)
Starting from the lowest position of each plot, we get
For standard management, lowest = 0, Q1 = 5 days from lowest value , Q2 = 7 days from lowest value, Q3 = 8 days from lowest value, Highest value = 11 days from lowest value
For participative management, lowest = 1, Q1 = 2.5 days from lowest value , Q2 = 4 days from lowest value, Q3 = 5 days from lowest value, Highest value = 7 days from lowest value
(ii)
For standard management, 25 % of data lie below 5 days, 50 % of data lie below 7 days and 75% of data lie below 8 days
For participative management, 25 % of data lie below 3.5 days, 50 % of data lie below 5 days and 75% of data lie below 6 days
(e)
Number of sick days under standard management are greater than participative management.
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