Empirical Relation Between Measures of Central Tendency

Three central tendencies are related to each other by the empirical formula which is given as follows:

2 × Mean + Mode = 3 × Median

Formula is used to calculate one of the central tendencies when two other central tendencies are given.

Central Tendency in Statistics- Mean, Median, Mode

Central Tendencies are the numerical values that are used to represent a large collection of numerical data. These obtained numerical values are called central or average values. A central or average value of any statistical data or series is the variable’s value representative of the entire data or its associated frequency distribution.

Some commonly used measures of central tendency are:

  • Mean
  • Median
  • Mode

Table of Content

  • Mean Definition
    • Mean for Ungrouped Data
    • Mean for Grouped Data
  • Types of Mean
  • Properties of Mean (Arithmetic)
  • Median
    • Median of Ungrouped Data
    • Median of Grouped Data
  • Mode
    • Mode of Ungrouped Data
    • Mode of Grouped Data
  • Empirical Relation Between Measures of Central Tendency

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Mean Definition

“Mean” in general terms, refers to the arithmetic mean of a set of data. However, besides the arithmetic mean, there are two other types of means: geometric mean and harmonic mean. Each of these means is calculated using different formulas....

Types of Mean

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Properties of Mean (Arithmetic)

There are various properties of Arithmetic Mean, some of which are as follows:...

Median

Median of any distribution is that value that divides the distribution into two equal parts such that the number of observations above it is equal to the number of observations below it. Thus, the median is called the central value of any given data either grouped or ungrouped....

Mode

Mode is the value of that observation which has a maximum frequency corresponding to it. In other, that observation of the data occurs the maximum number of times in a dataset....

Empirical Relation Between Measures of Central Tendency

Three central tendencies are related to each other by the empirical formula which is given as follows:...

FAQs on Central Tendency in Statistics

What is a Measure of Central Tendency?...