Relation between Mean, Median and Mode

What is Mean?

The mean is center value of a given dataset calculated by taking the average of all the values of dataset.

What is Median?

It is the middle value of a ordered dataset.

What is Mode?

It is the highest occurring value in the dataset.

What is the Empirical Relation Between the Mean, Median and Mode?

For a moderately skewed frequency distribution, 3 Median = 2 Mean + Mode

In What Condition, the Mean, Median and Mode will be Equal?

For completely symmetrical frequency distribution, Median = Mean = Mode

6. In What Scenarios would the Mean, Median, and Mode Differ Significantly?

Differences among mean, median, and mode can occur in skewed distributions or when the dataset contains outliers.

What is 3 Median Equal to?

3 Median is equal to to the sum of Mode and twice the Mean i.e. 3 Median = Mode + 2 Mean

How do you Find Mode when Mean and Median are Given?

For a moderately skewed frequency distribution, Mode = 3 Median – 2 Mean



Relation between Mean, Median and Mode

Relation between the Mean, Median, and Mode is the difference between the thrice of the median and twice of the mean gives Mode. Mode Mean, median, and mode are fundamental statistics measurements that give valuable insights into a given dataset. They represent the central tendency of the dataset. Although their values differ from each other for a given dataset they are closely related to each other.

Relation between Mean, Median and Mode

In this article, we’ll learn the concepts of relation between mean, median, and mode and explore the connections between them.

Table of Content

  • Mean Definition
  • Median Definition
  • Mode Definition
  • Relation between Mean, Median and Mode
  • Relation between Mean, Median and Mode with Frequency Distribution
  • Examples on Relation between Mean, Median and Mode
  • Practice Questions on Relation between Mean, Median and Mode

Similar Reads

Mean Definition

Mean, often called the average, is a measure of central tendency. It calculates the centre or middle data value of a given dataset. It can be calculated by summing up all the values in the dataset and dividing the sum by the total number of data points. For given data X, the formula for calculating the mean (μ) is:...

Median Definition

Median is the middle value of a dataset when it is arranged in ascending or descending order. For odd number of data points, the median is directly taken as the middle value but in case of even number of data points, median is the average of the two middle values....

Mode Definition

Mode is the most frequently occurring data point in the dataset. It does not take any consideration of the magnitude of the data points. It just tells us the data point with maximum frequency. There can be multiple mode if there are more then one data points with the maximum frequency....

Relation between Mean, Median and Mode

The relation between these three statistical measures depends upon the skewness of the data. For a moderately skewed frequency distribution, the empirical relation between the Mean, Median and Mode can be written as:...

Relation between Mean, Median and Mode with Frequency Distribution

We can also compare the mean, median and mode by looking at the frequency distribution curve of the data. There are commonly three types of distribution:...

Examples on Relation between Mean, Median and Mode

Example 1: The median and mode for a given set of data points is 20 and 30 respectively. Find out the mean. (Assume a moderately skewed distribution)...

Practice Questions on Relation between Mean, Median and Mode

Q1. Given: Mean = 24, Mode = 28. Calculate the Median and verify if the distribution is positively or negatively skewed....

Relation between Mean, Median and Mode – FAQs

What is Mean?...