Answer :
The average GPA and mean height are given for *all* female volleyball players, meaning these values describe the entire population. Therefore, they are parameters, not statistics. The statement is $\boxed{{False}}$.
### Explanation
1. Analyze the problem and data
In this problem, we need to determine whether the given statement is true or false. The statement claims that 2.8 and 182cm are both statistics, given that 2.8 is the average GPA and 182cm is the mean height for *all* female volleyball players in a particular college.
2. Define statistic and parameter
First, let's define what a statistic and a parameter are. A **statistic** is a numerical value that describes a characteristic of a *sample*. A **parameter** is a numerical value that describes a characteristic of the *entire population*.
3. Determine if the values are from a sample or population
In our case, the average GPA (2.8) and the mean height (182cm) are calculated for *all* female volleyball players in the college. This means we are considering the entire population, not just a sample.
4. Conclude based on the definitions
Since the values are calculated from the entire population, they are parameters, not statistics. Therefore, the statement '2.8 and 182cm are both statistics' is false.
### Examples
Understanding the difference between parameters and statistics is crucial in research. For instance, if you want to know the average height of all students in a school, measuring every student gives you a parameter. However, if you only measure a random group of students, the average height of that group is a statistic, which you can use to estimate the average height of all students.
### Explanation
1. Analyze the problem and data
In this problem, we need to determine whether the given statement is true or false. The statement claims that 2.8 and 182cm are both statistics, given that 2.8 is the average GPA and 182cm is the mean height for *all* female volleyball players in a particular college.
2. Define statistic and parameter
First, let's define what a statistic and a parameter are. A **statistic** is a numerical value that describes a characteristic of a *sample*. A **parameter** is a numerical value that describes a characteristic of the *entire population*.
3. Determine if the values are from a sample or population
In our case, the average GPA (2.8) and the mean height (182cm) are calculated for *all* female volleyball players in the college. This means we are considering the entire population, not just a sample.
4. Conclude based on the definitions
Since the values are calculated from the entire population, they are parameters, not statistics. Therefore, the statement '2.8 and 182cm are both statistics' is false.
### Examples
Understanding the difference between parameters and statistics is crucial in research. For instance, if you want to know the average height of all students in a school, measuring every student gives you a parameter. However, if you only measure a random group of students, the average height of that group is a statistic, which you can use to estimate the average height of all students.
