The number of days between the receipt of a customer complaint and the resolution of the complaint, for a carpet installation company was collected. This data was used to generate the following boxplot and summary data. Days Mean43.0 5 Number SummaryStandard Error5.9 Minimum1Median28.5 Q115.25Mode5.0 Median28.5Standard Deviation41.9 Q353.5Sample Variance1757.8 Maximum165Kurtosis1.3 Skewness1.5 Range164.0 Minimum1.0 Maximum165.0 Sum2152.0 Count50.0 (a) Interpret the measures of central tendency. (b) Interpret the measures of variability.(c) Describe the shape of the data. (d) What can you conclude about how long a customer should expect to wait to have a complaint resolved?

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Description: The number of days between the receipt of a customer complaint and the resolution of the complaint, for a carpet installation company was collected. This data was used to generate the following boxplot and summary data. Days

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

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The number of days between the receipt of a customer complaint and the resolution of the complaint, for a carpet installation company was collected. This data was used to generate the following boxplot and summary data.

Days
Mean	43.0	5 Number Summary
Standard Error	5.9	Minimum	1
Median	28.5	Q1	15.25
Mode	5.0	Median	28.5
Standard Deviation	41.9	Q3	53.5
Sample Variance	1757.8	Maximum	165
Kurtosis	1.3
Skewness	1.5
Range	164.0
Minimum	1.0
Maximum	165.0
Sum	2152.0
Count	50.0

(a) Interpret the measures of central tendency.

(b) Interpret the measures of variability.

(d) What can you conclude about how long a customer should expect to wait to have a complaint resolved?

Definition Definition Measure of central tendency that is the value that occurs most frequently in a data set. A data set may have more than one mode if multiple categories repeat an equal number of times. For example, in a data set with five item—3, 5, 5, 29, 473—the mode is 5 because it occurs twice and no other value occurs more than once. On a histogram or bar chart, the element with the highest bar represents the mode. Therefore, the mode is sometimes considered the most popular option. The mode is useful for nominal or categorical data (e.g., the most common color car that users purchase), but it is problematic for continuous data because it is more likely not to have any value that is more frequent than the other.

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