Read the situation given below and answer the questions that follow.

One of the major measures of the quality of service provided by any organization is the speed with which it responds to customer complaints. A large family-held department store selling furniture including carpet and flooring, had undergone a major expansion in the past several years. In particular, the flooring department had expanded from 2 installation crews to an installation supervisor, a measurer, and 15 installation crews. A sample of 20 complaints concerning carpetinstallation was selected during a recent year. The data represent the number of days between the receipt of a complaint and the resolution of the complaint: 45, 5, 35, 23, 41, 94, 4, 52, 12, 6, 10, 31, 10, 8, 68, 13, 12, 30, 15, and 126

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(a) List five-number summary and mean complaints.

(b) Construct the box-plots and describe the shape of the distribution.

(c) Calculate quartile deviation and standard deviation and their corresponding coefficients.

(d) What would you tell about complaints on the basis of mean, median, extreme quartiles and standard deviation? Explain and interpret.