Population vs Parameter
Both terms below come up in the same part of the course, and students mix them up. Here is each one defined on its own, side by side, so you can see where they part company.
Population
Collecting data and study design
A population is the entire group of individuals or objects you want to study and draw conclusions about.
A population includes every member of the group in question, not just the ones you happen to observe. For example, if you want the average height of all students at a school, the population is all of those students, and its true mean height is a fixed number you usually cannot measure directly. A numerical fact about a population, such as the population mean (the Greek letter mu, written ), is called a parameter. You typically estimate it from a smaller sample.
Parameter
Collecting data and study design
A parameter is a fixed numerical value that describes a feature of an entire population, such as its true mean or proportion.
A parameter is a constant for a given population, even though you usually do not know its value. For example, the true proportion of all adults who own a car is a population proportion, written (the letter p). Parameters are typically labeled with Greek letters, such as the population mean (mu) and population standard deviation (sigma). You estimate a parameter using a statistic computed from a sample.