Measures of Central Tendency

Measure of central tendency is the representation of various values of the given data set. There are various measures of central tendency and the most important three measures of central tendency are:

  • Mean
  • Median
  • Mode

Mean, Median and Mode

Mean, Median, and Mode are measures of the central tendency. These values are used to define the various parameters of the given data set. The measure of central tendency (Mean, Median, and Mode) gives useful insights about the data studied, these are used to study any type of data such as the average salary of employees in an organization, the median age of any class, the number of people who plays cricket in a sports club, etc.

Let’s learn more about the Mean, Median, and Mode Formulas, Examples, and FAQs in this article.

Table of Content

  • Measures of Central Tendency
  • What are Mean, Median, and Mode?
  • What is Mean?
  • What is Median?
  • What is Mode?
    • Symbol of Mode
  • Relation between Mean Median Mode
  • What is Range?
  • Differences between Mean, Median and Mode

Similar Reads

Measures of Central Tendency

Measure of central tendency is the representation of various values of the given data set. There are various measures of central tendency and the most important three measures of central tendency are:...

What are Mean, Median, and Mode?

Mean, median, and mode are measures of central tendency used in statistics to summarize a set of data....

What is Mean?

Mean is the sum of all the values in the data set divided by the number of values in the data set. It is also called the Arithmetic Average. Mean is denoted as x̅ and is read as x bar....

Mean Formula

The formula to calculate the mean is:...

What is Median?

A Median is a middle value for sorted data. The sorting of the data can be done either in ascending order or descending order. A median divides the data into two equal halves....

Median Formula

The formula for the median is:...

What is Mode?

A mode is the most frequent value or item of the data set. A data set can generally have one or more than one mode value. If the data set has one mode then it is called “Uni-modal”. Similarly, If the data set contains 2 modes then it is called “Bimodal” and if the data set contains 3 modes then it is known as “Trimodal”. If the data set consists of more than one mode then it is known as “multi-modal”(can be bimodal or trimodal). There is no mode for a data set if every number appears only once....

Mode Formula

Mode = Highest Frequency Term...

Relation between Mean Median Mode

For any group of data, the relation between the three central tendencies mean, median, and mode is shown in the image below:...

What is Range?

In a given data set the difference between the largest value and the smallest value of the data set is called the range of data set. For example, if height(in cm) of 10 students in a class are given in ascending order, 160, 161, 167, 169, 170, 172, 174, 175, 177, and 181 respectively. Then range of data set is (181 – 160) = 21 cm....

Difference Between Mean and Median

The key differences between mean and median are listed in the following table:...

Differences between Mean, Median and Mode

Mean, median, and mode are measures of central tendency in statistics....

Conclusion – Mean, Median and Mode

Mean, Median and Mode are the measure of central tendency which helps us analyze and interpret data across various fields. Mean, often used as the arithmetic average, is sensitive to extreme values. On the other hand, the median, representing the middle value of any dataset. Meanwhile, the mode, indicating the most frequently occurring value....

Solved Questions on Mean, Median, and Mode

Question 1: Study the bar graph given below and find the mean, median, and mode of the given data set....

FAQs on Mean, Median and Mode

What are the mean, median, and mode?...