# Basic description of a typical value of a distribution

## Measures of Central Tendency Click card to see definition. Tap card normal distributions are good approximations of ____ outcomes . basic description of a typical value of a distribution.

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A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. As such, measures of central tendency are sometimes called measures of central location. They are also classed as summary statistics. The mean often called the average is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode. The mean, median and mode are all valid measures of central tendency, but under different conditions, some measures of central tendency become more appropriate to use than others.

Statistics has become the universal language of the sciences, and data analysis can lead to powerful results. As scientists, researchers, and managers working in the natural resources sector, we all rely on statistical analysis to help us answer the questions that arise in the populations we manage. For example:. These are typical questions that require statistical analysis for the answers. In order to answer these questions, a good random sample must be collected from the population of interests. We then use descriptive statistics to organize and summarize our sample data. The next step is inferential statistics, which allows us to use our sample statistics and extend the results to the population, while measuring the reliability of the result.

The normal distribution formula is based on two simple parameters - mean and standard deviation — which quantify the characteristics of a given dataset. The pink arrows in the second graph indicate the spread or variation of data values from the mean value. This is represented by standard deviation value of 2. Since DataSet1 has all values same as 10 each and no variations, the stddev value is zero, and hence no pink arrows are applicable. The stddev value has a few significant and useful characteristics which are extremely helpful in data analysis.

## The Normal Distribution Table, Explained

Help support this free site by buying your books from Amazon following this link: Books on science and math. The normal distribution is the most important and most widely used distribution in statistics. It is sometimes called the "bell curve," although the tonal qualities of such a bell would be less than pleasing.

## Normal distribution

In probability theory , the normal or Gaussian or Gauss or Laplace—Gauss distribution is a very common continuous probability distribution. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. The normal distribution is useful because of the central limit theorem. In its most general form, under some conditions which include finite variance , it states that averages of samples of observations of random variables independently drawn from independent distributions converge in distribution to the normal, that is, they become normally distributed when the number of observations is sufficiently large. Physical quantities that are expected to be the sum of many independent processes such as measurement errors often have distributions that are nearly normal.

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## 2 thoughts on “Basic description of a typical value of a distribution”

1. Quintilo H. says:

There are several kinds of means in various branches of mathematics especially statistics.

2. Bruno B. says:

Chapter 1: Descriptive Statistics and the Normal Distribution