Question content area top Part 1 Suppose a bank​ branch, located in a residential​ area, is concerned with its service during the​ noon-to-1 pm lunch hour. The waiting​ times, in​ minutes, collected from a sample of 15 customers during this​ hour, are listed below

9.64

5.85

8.06

5.88

8.91

3.91

7.93

8.32

10.58

6.62

5.67

4.13

6.12

9.94

5.55

We have a dataset of waiting times (in minutes) for 15 customers at a bank branch. Let's start by summarizing this data and calculating some key statistics, such as:

1. **Mean (Average) waiting time**  
2. **Median waiting time**  
3. **Standard deviation**  
4. **Variance**  
5. **Range** (Difference between maximum and minimum values)

Here is the data for the 15 customers:
- 9.64, 5.85, 8.06, 5.88, 8.91, 3.91, 7.93, 8.32, 10.58, 6.62, 5.67, 4.13, 6.12, 9.94, 5.55

I will calculate these values for you now.Here are the statistical results based on the provided waiting times:

1. **Mean waiting time**: 7.14 minutes
2. **Median waiting time**: 6.62 minutes
3. **Standard deviation**: 2.08 minutes
4. **Variance**: 4.33 minutes²
5. **Range**: 6.67 minutes (the difference between the maximum and minimum waiting times)

Would you like to explore further details or have any questions?

Here are 5 related questions to deepen your understanding:
1. How does the standard deviation reflect the variability in waiting times?
2. What are the implications of the range for the bank's service consistency?
3. How would adding more customer data affect the mean and standard deviation?
4. What is the significance of using the sample variance instead of population variance?
5. How can the bank use these statistics to improve customer service?

**Tip**: The mean is sensitive to extreme values (outliers), so always check for them when interpreting the average.

Suppose a bank​ branch, located in a residential​ area, is concerned with its service during the​ noon-to-1 pm lunch hour. The waiting​ times, in​ minutes, collected from a sample of 15 customers during this​ hour, are listed below: 9.64, 5.85, 8.06, 5.88, 8.91, 3.91, 7.93, 8.32, 10.58, 6.62, 5.67, 4.13, 6.12, 9.94, 5.55.

Analyze the waiting times of 15 customers at a bank branch during the noon-to-1 pm lunch hour using key statistical measures. Learn how to calculate mean, median, standard deviation, variance, and range for real-world data. Suitable for students in Grades 10-12.

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