Relationship between Mean Median and Mode

By BYJU'S Exam Prep

Updated on: September 13th, 2023

In statistics, there is a relationship between mean, median, and mode given a moderately skewed distribution. The “empirical relationship,” which is defined as Mode being equal to the difference between 3 times the median and 2 times the mean, is the name given to this relationship between mean, median, and mode. Below, there is a detailed discussion of this connection.

Answer – Relationship between Mean Median and Mode is known as the “Empirical Relationship”.

The mean of a data set is determined by adding together all the data values and dividing the result by the total number of data sets. By placing the values in either ascending or descending order and then selecting the middle value, the median, the middle value among the observed set of values is determined. By counting the occurrences of each data value, the mode from a data collection with the highest frequency is determined.

When the distribution is substantially skewed, the gap between the mean and the mode is almost three times that between the mean and the median. Consequently, the following is the empirical mean median mode relation:

Mean – Mode = 3 (Mean – Median)

Or

Mode = 3 Median – 2 Mean

Summary:

Relationship between Mean Median and Mode

The relationship between Mean Median and Mode is known as an “empirical relationship”. It is characterized as being the difference between the median and the mean times three.

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