Question

For a particular population is the population mean a variable? What about a sample mean?

Short answer

No,

For particular population, the population mean is not a variable, since the population mean is a constant.

Yes,

For particular population, the sample mean is a variable since the sample mean are varies from sample to sample.

Step-by-step solution

Step 1. Given information.  

For a particular population is the population mean a variable? What about a sample mean?

Step 2. Explanation for given statement. 

The population mean is not avariable for a given population because it is a constant.

The sample mean is a variable for a particular population since it fluctuates from sample to sample.