Determine whether the given value is a statistic or parameter.A sample of 100 employees of a company is selected, and the average age is found to be 38 years.

1. Break Down the Problem

To determine whether the value provided (average age of 38 years) is a statistic or a parameter, we need to identify the difference between the two concepts:

• A parameter is a characteristic or measure obtained by using all the data from a specific population.
• A statistic is a characteristic or measure obtained by using data from a sample of the population.

2. Relevant Concepts

In this scenario:

• The entire group of employees in the company represents the population.
• A sample of 100 employees is taken from that population to calculate an average.

3. Analysis and Detail

• The average age of 38 years is calculated from the sample of 100 employees.
• Since the average age is derived from a sample rather than the entire population of employees in the company, it is classified as a statistic.

4. Verify and Summarize

The value of 38 years is not the average of the entire population of employees but rather derived from a subset of that population. Therefore, it qualifies as a statistic.

Final Answer

The average age of 38 years is a statistic because it is based on a sample of 100 employees, not the entire population.