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

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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