The Customers Service Center of a large bank receive calls from customers. The number of incoming calls between 8:00 AM and 8:10 AM in consecutive days were recorded. The number of incoming calls during the working days of the month of September were 8, 10, 6, 7, 12, 7, 8, 7, 8, 6, 9, 4, 6, 14, 10, 10, 10, 10, 6, 10, 12, 7. The number of incoming calls during the working days of the month of February were 9, 11, 14, 6, 4, 6, 7, 3, 3, 2, 5, 6, 6, 5, 6, 7, 5, 4, 3, 5. In light of the description given, select the correct answer. The average number of calls that arrived between 8:00 AM and 8:10 AM during the working days of any month is:

Question 4 Answer

a.

A population.

b.

A sample.

c.

A parameter.

d.

A statistic.

In the given scenario, we are dealing with two sets of data for the number of incoming calls during the working days of two months, September and February.

To determine whether the average number of calls is a **population** or a **sample**, we need to understand the definitions of these terms:

- **Population**: Refers to the entire set of data or all possible values of a dataset.
- **Sample**: Refers to a subset of the population, used to estimate characteristics of the population.
- **Parameter**: A numerical value that describes a characteristic of a population.
- **Statistic**: A numerical value that describes a characteristic of a sample.

Since the question asks about the average number of calls **during the working days of any month**, and the data provided only covers the working days of **September** and **February**, this data represents a **sample** of all possible months. We do not have data for the entire population (i.e., every month of the year).

Thus, the correct answer is:

**d. A statistic.**

This is because the average number of calls in this case is computed based on a sample (September and February) rather than the full population (all months).

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Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How can we calculate the average number of calls for September and February?
2. What is the difference between a statistic and a parameter?
3. How does the size of the sample affect the accuracy of a statistic?
4. Why is it important to distinguish between a population and a sample?
5. What are some other examples of statistics in real-life scenarios?

**Tip**: When dealing with statistics, always clarify if you're working with a sample or the entire population, as it affects the methods and conclusions of your analysis.

The Customers Service Center of a large bank receive calls from customers. The number of incoming calls between 8:00 AM and 8:10 AM in consecutive days were recorded. The number of incoming calls during the working days of the month of September were 8, 10, 6, 7, 12, 7, 8, 7, 8, 6, 9, 4, 6, 14, 10, 10, 10, 10, 6, 10, 12, 7. The number of incoming calls during the working days of the month of February were 9, 11, 14, 6, 4, 6, 7, 3, 3, 2, 5, 6, 6, 5, 6, 7, 5, 4, 3, 5. In light of the description given, select the correct answer. The average number of calls that arrived between 8:00 AM and 8:10 AM during the working days of any month is:
a. A population.
b. A sample.
c. A parameter.
d. A statistic.

Explore how to calculate the sample mean for the number of incoming bank calls between 8:00 AM and 8:10 AM in September and February. This statistics problem covers key concepts like sample vs. population, descriptive statistics, and the sample mean formula. Suitable for Grades 9-12.

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