One of the major measures of the quality of service provided by any organization is the speed with which the organization responds to customer complaints. A large family-held department selling furniture and flooring, including carpet, 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. During a recent year, the company got 50 complaints concerning carpet installation. The following data represent the number of days between the receipt of the complaint and the resolution of the complaint:  54,5,35,137,31,27,152,2,123,81,74,27,11,19,126,110,110,29,61,35,94,31,26,5,12,4,165, 32,29,28,29,26,25,1,14,13,13,10,5,27,4,52,30,22,36,26,20,23,33,68   If you had to tell the president of the company how long a customer should expect to wait to have a complaint resolved, what would you say? Explain. Compute the mean, median, first quartile, and third quartile. Compute the range, interquartile range, variance, standard deviation. Construct a box plot. Are the data skewed? If so, how?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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One of the major measures of the quality of service provided by any organization is the speed with which the organization responds to customer complaints. A large family-held department selling furniture and flooring, including carpet, 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. During a recent year, the company got 50 complaints concerning carpet installation. The following data represent the number of days between the receipt of the complaint and the resolution of the complaint: 

54,5,35,137,31,27,152,2,123,81,74,27,11,19,126,110,110,29,61,35,94,31,26,5,12,4,165, 32,29,28,29,26,25,1,14,13,13,10,5,27,4,52,30,22,36,26,20,23,33,68

 

  1. If you had to tell the president of the company how long a customer should expect to wait to have a complaint resolved, what would you say? Explain.
  2. Compute the mean, median, first quartile, and third quartile.
  3. Compute the range, interquartile range, variance, standard deviation.
  4. Construct a box plot. Are the data skewed? If so, how?
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