There are a large number of disciplines and fields within the statics that statisticians work on, and among the most widespread types and methods of statistics is descriptive statistics, which means working on summary and comprehensive statistics in which measurements are described, and descriptive statistics depend on summarizing the sample and highlighting samples and measurements in a brief and simple way It is very clear, and in contrast, another type that is also considered one of the most important types in statistics is inferential statistics; it is defined as the process of using value and information analysis to infer the properties and features of a probabilistic distribution and its calculation. This type is derived from Statistics of population characteristics, and in this article, the principles of statistics in mathematics will be explained.
Principles of Statistics in Mathematics
There are a number of basic principles in statistics, as well as there are basics for learning statistics and the methods of working with it and dealing with it, but one of the most important principles of statistics in mathematics are methods of collecting, analyzing, distributing and displaying data and information, and these methods differ greatly from each other and among these methods:
It is the organization of information and data through a special table so that all information is clear and defined within the table, and within which information is coordinated and analyzed according to the nature of information and data, and tabular methods are among the easiest and most clear principles of statistics in mathematics because of the clarity of information and the ease of selecting and dealing with it.
Graphical methods depend on the description and comparison of data quickly, by means of a bar graph feature, which is a drawing tool for visualizing information and the values that are derived and taken from the frequency distribution, where a tape is created for each information and each bar increases with the number of required and recorded information values, and the graph is prepared The most common statistic and used to draw statistical diagrams.
It is a number of basic laws that are relied upon in calculating and summarizing the required statistics. Among these laws, the most important of which are the arithmetic mean, the range and the standard deviation, the mode and the median, and other major rules in statistics, since it is not possible to make a graphic and descriptive statistics without using these laws.