For a sample of 11 patients which have recently undergone a certain medical procedure, the length of hospital stay (in days) is recorded, yielding the data:

2, 4, 3, 6, 4, 2, 2, 2, 3, 9, 5

(a). Determine the median and quartiles (Q1 and Q3) for the length of hospital stay data. (Instructions: your answer must include calculations for determining the positions of the median and quartiles.)

(b).Determine the interquartile range for the length of hospital stay data.

(c).Draw the boxplot for the length of hospital stay data.

(d).Identify the outliers (if any) in the length of hospital length data.