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10

Chapter 1: Introduction and Graphical Displays

Definition: Statistic

A statistic is a characteristic or a fact about a sample.

For example, we may be interested in studying the distribution of the heights

of National Basketball Association (NBA) players. If the average height of

a sample of listed players is 6.37 feet, then this will be the value of the

sample average.

Since parameters are descriptions of the population, a population can have

many parameters. Similarly, a sample can have many statistics. We will

encounter several parameters and statistics in subsequent chapters of this

e-book. These associations are shown in

Figure 1-4

.

Figure 1-4:

The difference between parameters and statistics

When selecting a sample, researchers would like to select values in such a

way that there is no inherent bias. One way of doing this is by selecting a

random sample

.

Definition: Random Sample

A random sample is one in which every member of a population has an

equal chance of being selected at every stage of the sampling process.

Note:

If the sample sizes are equal, we refer to this random sample as a

simple random sample.