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Non-numerical nominal characteristics can be the brands of cars we drive, the names of cities were we live, our race, religion, etc. Numerical nominal characteristics can be area codes, zip codes, numbers on the back of jerseys of Basketball players. Numerical, non-nominal data is someone's weight or height.
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Is a nominal variable a discrete variable?
No. A discrete variable is one that takes discrete numerical values. But a discrete variable can be ordered while a nominal one cannot. Age, in years, is a discrete variable, and you can say that a 10-year old is younger than a 20-year old who is younger than a 40-year old. Favourite fruit would generate a nominal variable but you cannot say that a banana is more than an apple which, in turn, is more than an orange, etc. (Remember, you are talking only of the nominal values of the fruit - not their price or size or nutritional value or any such characteristic.)
What is the primary characteristic of a probability sample?
In the context of a sample of size n out of a population of N, any sample of size n has the same probability of being selected. This is equivalent to the statement that any member of the population has the same probability of being included in the sample.
What the difference between statistic as numerical fact and statistics as a discipline?
A statistic as a numerical fact refers to a single piece of quantitative data, such as the average income of a population. On the other hand, statistics as a discipline is the study of collecting, analyzing, interpreting, and presenting data. It involves a wide range of techniques and methods for making inferences and decisions based on data, such as hypothesis testing and regression analysis. In summary, a statistic is a single data point, while statistics as a discipline is the field of study that deals with data collection and analysis.
Why is population sampling most effective when a population has an even dispersion pattern?
If the population is not evenly dispersed then the sample may unfortunately come from a section that is not typical of the population. That means the sample will not be representative of the population and so any estimates for the population, based on sample statistics are biased and therefore unreliable.
In statistics what would you call the conclusions drawn about a population?
INFERENCES Any calculated number from a sample from the population is called a 'statistic', such as the mean or the variance.
