3. The following gives the number of alcoholic beverages consumed each week by a random sample of 15 University students: (6, 15, 0, 3, 13, 37, 19, 5, 8, 4, 0, 17, 18, 5, 9)

a)Obtain and interpret the five-number summary. (10 marks)

b)Obtain and interpret the interquartile range. (4 marks)

c)Are there any potential outliers? Justify by calculation. (3 marks)

d)Draw a box plot based on the data. What can you tell about the distribution of the data? (5 marks)

e)Choose the most appropriate measures of centre and spread for this data. Justify your choice. (3 marks)