Math Problem Statement
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
6.56.5
6.66.6
6.76.7
6.86.8
7.07.0
7.17.1
7.47.4
7.87.8
7.87.8
7.87.8 Individual Lines
4.24.2
5.35.3
6.06.0
6.26.2
6.36.3
7.87.8
7.87.8
8.58.5
9.39.3
10.110.1
Question content area bottom
Part 1
The mean waiting time for customers in a single line is
enter your response here
minutes.
Solution
The mean waiting time for customers in a single line is 7.15 minutes.
Would you like the median for this data set, or do you have any further questions?
Here are five related questions:
- What is the median waiting time for the single line?
- How do the mean and median compare in the single line data?
- What is the mean waiting time for customers in individual lines?
- How does the distribution of waiting times compare between single and individual lines?
- What are the advantages of using the mean vs. the median in interpreting data?
Tip: The mean is sensitive to extreme values, while the median is more resistant to outliers.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Data Analysis
Formulas
Mean formula: (sum of all data points) / (number of data points)
Median formula: Middle value of ordered data set
Theorems
None specific
Suitable Grade Level
Grades 9-12