Statistics is a branch of mathematics that deals with collection, analysis, interpretation, and presentation of data. When applying any statistical concept, for example to a scientific, social or industrial problem, conventionally one begins with the statistical model process or statistical population that needs to be studied. Statistical populations cover diverse topics such as "every atom that composes of a crystal" or "all people living in a country." Statistics as a branch of mathematics involves all aspects of data from data collection planning to surveys and experiments. To collect data, statisticians develop specific survey samples and experiment designs. Development of samples assures that both inferences and conclusions represent the population as a whole.
Statistics involves distinctly two types of studies. They include:
This statistical study involves taking the measurements of the system under study. The system is then manipulated and additional measurements are taken by the use of the same procedure in order to ascertain whether the manipulations have by any way modified the measurements values.
The observational study, unlike experimental study, does not by any way involve any experimental manipulation. In an observational study, statistical data is gathered. After the gathering of data, the correlation between response and the predictors are investigated.
Descriptive statistics is a statistical method used in data analysis where data is summarized from a sample by the use of indexes such as standard deviation or mean. This method is mostly concerned with two sets of properties of distribution, sample or a whole population.
This statistical method of data collection helps conclude from the data that is subjected to random variations such as sampling variation and observational errors.
Statistics as a branch of mathematics covers numerous topics. These topics include:
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