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Name: Waiting times (in minutes) of customers in a bank where all customers
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Description: Waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two s

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 4CR

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Waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. Find the mean and median for each of the two samples, then compare the two sets of results.

Single Line	6.5	6.6	6.7	6.8	7.0	7.1	7.4	7.8	7.8	7.8
Individual Lines	4.2	5.5	5.8	6.1	6.3	7.8	7.8	8.5	9.4	10.1

The mean waiting time for customers in a single line is

nothing

minutes.

The median waiting time for customers in a single line is

nothing

minutes.

The mean waiting time for customers in individual lines is

nothing

minutes.

The median waiting time for customers in individual lines is

nothing

minutes.

Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it?

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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