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

6.36.3

6.66.6

6.76.7

6.86.8

6.96.9

7.27.2

7.47.4

7.67.6

7.67.6

7.67.6   Individual Lines

4.14.1

5.55.5

5.95.9

6.16.1

6.56.5

7.67.6

7.67.6

8.58.5

9.19.1

9.89.8

Question content area bottom

Part 1 The mean waiting time for customers in a single line is 7.07 minutes.

Part 2 The median waiting time for customers in a single line is 7.05 minutes.

Part 3 The mean waiting time for customers in individual lines is ___ minutes.

Solution

The mean waiting time for customers in individual lines is 7.07 minutes, which is identical to the mean waiting time for customers in a single line.

Would you like to find the median for the individual lines, or do you have any other questions?

Related Questions:

  1. What is the median waiting time for customers in individual lines?
  2. How do the mean and median waiting times compare between the two systems?
  3. What might explain the differences in waiting times between the single line and individual lines?
  4. How could the waiting times be reduced in each system?
  5. What is the range of waiting times for each system?

Tip: When comparing sets of data, considering both the mean and median provides a fuller picture, especially if the data is skewed.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Median
Data Comparison

Formulas

Mean = (Sum of all data points) / (Number of data points)
Median: Arrange data points in ascending order, then find the middle value

Theorems

Central Tendency

Suitable Grade Level

Grades 9-12

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