Waiting times​ (in minutes) of customers at 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 coefficient of variation for each of the two sets of​ data, then compare the variation.
Bank A​ (single line):
6.5
nbsp 6.5
nbsp 6.7
nbsp 6.8
nbsp 7.2
nbsp 7.3
nbsp 7.4
nbsp 7.6
nbsp 7.7
nbsp 7.7
 
Bank B​ (individual lines):
4.3
nbsp 5.5
nbsp 5.8
nbsp 6.2
nbsp 6.8
nbsp 7.6
nbsp 7.8
nbsp 8.5
nbsp 9.4
nbsp 9.7
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Part 1
The coefficient of variation for the waiting times at Bank A is 
  
enter your response here​%.
​(Round to one decimal place as​ needed.)

The coefficient of variation (CV) for the waiting times at Bank A (single line) is **6.7%**, while for Bank B (individual lines), the CV is **24.5%**.

### Comparison:
The variation in waiting times is significantly higher at Bank B (individual lines) compared to Bank A (single line), indicating that the waiting times at Bank A are more consistent.

Would you like more details or have any questions?

Here are some related questions to further explore:
1. How is the coefficient of variation different from standard deviation?
2. Why is the coefficient of variation useful for comparing data sets?
3. What would happen if we increased the sample size for each bank?
4. How do outliers affect the coefficient of variation?
5. Can you think of other real-life situations where the coefficient of variation could be applied?

**Tip:** The coefficient of variation is a useful measure when comparing the relative variability between data sets with different units or means.

Waiting times (in minutes) of customers at 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 coefficient of variation for each of the two sets of data, then compare the variation. 

Bank A (single line):
6.5, 6.5, 6.7, 6.8, 7.2, 7.3, 7.4, 7.6, 7.7, 7.7 

Bank B (individual lines):
4.3, 5.5, 5.8, 6.2, 6.8, 7.6, 7.8, 8.5, 9.4, 9.7

The coefficient of variation for the waiting times at Bank A is ____%. (Round to one decimal place as needed.)

Find out how to calculate the coefficient of variation for waiting times at two different banks, one with a single line and another with individual lines. Learn the steps for determining the coefficient of variation using standard deviation and mean, and compare the variability between the two datasets. Suitable for students in Grades 10-12.

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