What is Mean in Statistics?

Mean in Statistics means we are dealing with mean in the subject of statistics as mean is a very general term. If we want to find the mean of a set of given values (ungrouped data), just add the values and divide the sum by the number of values.

Mean is the central tendency of the distributed data, which refers to the average value of the given set of data. The mean corresponds to the single value from the distributed data and represents an appropriate value that can give us insights into the data. In statistics mean is one of the most basic methods for the analysis of data.

For example, if we want to calculate the average salary of employees present in a company can be calculated by using the mean by dividing the sum of all employee salaries and the number of employees or we want to calculate the average revenue per employee this can be calculated again by the division of total revenue by the number of employees.

Mean Definition

Mean is defined as the average of the given set of values and is used to measure of the central tendency. Central tendency is the measure that acknowledges the set of data or the distribution from a value. Therefore, it can be said that mean can describe the entire data. In statistics, the mean can be obtained by dividing the sum of observations by the total number of observations. 

Mean Symbol

Mean is denoted as a bar on x or . Let’s say the dataset given is X = {x1, x2, x3, . . ., xn} The mean of this dataset is denoted as and is given by:

Mean in Statistics

Mean in Mathematics is the measure of central tendency and is mostly used in Statistics. Mean is the easiest of all the measures. Data is of two types, Grouped data and ungrouped data. The method of finding the mean is also different depending on the type of data. Mean is generally the average of a given set of numbers or data. It is one of the most important measures of the central tendency of distributed data.

In statistics, the mean is the average of a data set. It is calculated by adding all the numbers in the data set and dividing by the number of values in the set. The mean is also known as the average. It is sensitive to skewed data and extreme values. For example, when the data are skewed, it can miss the mark.

In this article, we’ll explore all the things you need to know about What is Mean, Mean Definition, Mean Formula, Mean Examples, and others in detail.

Table of Content

  • What is Mean in Statistics?
  • Mean Formula
  • How to Find Mean?
  • Mean of Ungrouped Data
  • Types of Mean
  • Mean of Grouped Data

Similar Reads

Central Tendency in Statistics

In statistics, three measures are defined as central tendencies that are, Mean, Median, and Mode, where mean provides the average value of the dataset, median provides the central value of the dataset, and the most frequent value in the dataset is mode....

What is Mean in Statistics?

Mean in Statistics means we are dealing with mean in the subject of statistics as mean is a very general term. If we want to find the mean of a set of given values (ungrouped data), just add the values and divide the sum by the number of values....

Mean Application

There are many uses and examples of mean in real life. Following are some of the real-life examples of mean:...

Mean Formula

Mean formula in statistics is defined as the sum of all observations in the given dataset divided by the total number of observations. The image added below shows the mean formula of given observation....

How to Find Mean?

To find the mean value, we use the mean formula, which calculates the average of the given data. It is calculated by dividing the sum of all observed data values by the number of observed values. The mean formula is given by...

Mean of Ungrouped Data

The mean of ungrouped data is the sum of all the observations divided by the total number of observations. Ungrouped data is known as raw data, where the dataset simply contains all the data in no particular manner. Following are the steps that are to be followed to find the mean of ungrouped data:...

Types of Mean

In statistics, there are four types of mean, and they are weighted mean, Arithmetic Mean (AM), Geometric Mean (GM), and Harmonic Mean (HM). When not specified, the mean is generally referred to as the arithmetic mean. Let’s take a look into all the types of mean:...

Mean of Grouped Data

Grouped data is the set of data that is obtained by forming individual observations of variables into groups. Grouped data is divided into groups. A frequency distribution table is required for the grouped data, which helps showcase the frequencies of the given data. The mean of grouped data can be obtained using three methods. The methods are:...

Arithmetic Mean vs. Geometric Mean

There are key differences between Arithmetic Mean and Geometric Mean, which can be listed as follows:...

Examples of Mean Formula

Example 1: Calculate the mean of the first 5 even natural numbers....

Practice Questions on Mean

Q1: Find the Mean temperature of a week given that the temperatures from Monday to Sunday are 21℃, 23℃, 22.5℃, 21.6℃, 22.3℃, 24℃, 20.5℃....

Mean – FAQs

What is Mean in Statistics?...