Statistics is a branch of mathematics that deals with collecting, organizing, analyzing, and interpreting data to make decisions or solve problems. It helps convert raw numerical facts into meaningful information.
Statistics is broadly divided into two major branches:
Descriptive Statistics refers to the methods used to summarize and describe the important features of a dataset.
Descriptive statistics only describes what the data shows. It does not make predictions or generalizations beyond the given data.
A teacher calculates the average marks of a class or a company analyzes last month’s sales data.
Inferential Statistics involves methods that allow us to make predictions, generalizations, or decisions about a large population based on a small sample.
Inferential statistics helps us go beyond the available data and make broader statements about a population.
Testing whether a new medicine is effective by using results from a sample of patients or predicting election results using a sample survey.
| Descriptive Statistics | Inferential Statistics |
|---|---|
| Describes current data | Makes predictions about population |
| No generalization | Generalizes beyond data |
| Uses graphs, tables, averages | Uses probability, sampling, hypothesis tests |
| Deals with whole population or available data | Deals with sample data |
Understanding both descriptive and inferential statistics is essential because:
Together, they form the foundation of statistical analysis.
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