What are Statistics?

Statistics in Mathematics is the study and manipulation of data. It involves the analysis of numerical data, enabling the extraction of meaningful conclusions from the collected and analyzed data sets.

  • According to Merriam-Webster: Statistics is the science of collecting, analyzing, interpreting, and presenting masses of numerical data.
  • According to Oxford English Dictionary: Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data.

Statistics

The practice or science of collecting and analysing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample.

Statistics Terminologies

Some of the most common terms you might come across in statistics are:

  • Population: It is actually a collection of a set of individual objects or events whose properties are to be analyzed.
  • Sample: It is the subset of a population.
  • Variable: It is a characteristic that can have different values.
  • Parameter: It is numerical characteristic of population.

Statistics Examples

Some real-life examples of statistics that you might have seen:

Example 1: In a class of 45 students, we calculate their mean marks to evaluate performance of that class.

Example 2: Before elections, you might have seen exit polls. Exit polls are opinion of population sample, that are used to predict election results.

Introduction of Statistics and its Types

Statistics and its Types: Statistics is a branch of math focused on collecting, organizing, and understanding numerical data. It involves analyzing and interpreting data to solve real-life problems, using various quantitative models. Some view statistics as a separate scientific discipline rather than just a branch of math. It simplifies complex tasks and offers clear insights into regular activities. Statistics finds applications in diverse fields like weather forecasting, stock market analysis, insurance, betting, and data science.

In this article, we will learn about, What is Statistics, Types of Statistics, Models of Statistics, Statistics Examples, and others in detail.

Table of Content

  • What are Statistics?
  • Types of Statistics
  • Descriptive Statistics
  • Inferential Statistics
  • Hypothesis Testing
  • Data in Statistics
  • Representation of Data
  • Models of Statistics
  • Data Analysis
  • Types of Data Analysis
  • Coefficient of Variation
  • Applications of Statistics
  • Business Statistics
  • Scope of Statistics
  • Limitations of Statistics
  • Solved Problems – Statistics

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What are Statistics?

Statistics in Mathematics is the study and manipulation of data. It involves the analysis of numerical data, enabling the extraction of meaningful conclusions from the collected and analyzed data sets....

Types of Statistics

There are 2 types of statistics:...

Descriptive Statistics

Descriptive statistics uses data that provides a description of the population either through numerical calculated graphs or tables. It provides a graphical summary of data....

Inferential Statistics

Inferential Statistics makes inferences and predictions about the population based on a sample of data taken from the population. It generalizes a large dataset and applies probabilities to draw a conclusion....

Hypothesis Testing

Hypothesis testing is a type of inferential procedure that takes the help of sample data to evaluate and assess the credibility of a hypothesis about a population....

Data in Statistics

Data is the collection of numbers, words or anything that can be arranged to form a meaningful information. There are various types of the data in the statistics that are added below,...

Representation of Data

We can easily represent the data using various graphs, charts or tables. Various types of representing data set are:...

Models of Statistics

Various models of Statistics are used to measure different forms of data. Some of the models of the statistics are added below:...

Data Analysis

Data Analysis is all about making sense of information by using mathematical and logical methods. In simpler terms, it means looking carefully at lots of facts and figures, organizing them, summarizing them, and then checking to see if everything adds up correctly....

Types of Data Analysis

There are basically three types of data analysis which are as follows:...

Coefficient of Variation

Coefficient of Variation is calculated using the formula,...

Applications of Statistics

Various application of statistics in mathematics are added below,...

Business Statistics

Business statistics is the process of collecting, analyzing, interpreting, and presenting data relevant to business operations and decision-making. It is a critical tool for organizations to gain insights into their performance, market dynamics, and customer behavior....

Scope of Statistics

Statistics is a branch of mathematics that deals with the collection, organization, analysis, interpretation, and presentation of data. It is used in a wide variety of fields, including:...

Limitations of Statistics

While statistics is a powerful tool, it is important to be aware of its limitations. Some of the most important limitations include:...

Solved Problems – Statistics

Example 1: Find the mean of the data set....

Conclusion of Statistics

Statistics is not merely a collection of formulas; it’s a language that unlocks understanding across every discipline imaginable. From decoding the secrets of the universe to optimizing marketing campaigns, statistics plays a vital role. It empowers researchers in medicine, finance, engineering, and countless other fields to analyze patterns, measure risk, and predict future outcomes....

Statistics – FAQs

How to calculate mean?...