Question

Empirical relationship between the three measures of central tendency.

Answer 1

Hint: Mean is an arithmetic average which is used for continuous data. It is the most commonly used measure of central tendency.
Median is a value that helps to split data smaller than that number.
Mode is the category that has the maximum data. It is used for categorized data.

Complete step-by-step answer:
Empirical relation means Mean, Median and mode. Use the formulas of Mean, Median and Mode.
Empirical relationship exists among Mean, Median and Mode.
The Empirical relationship between the three central tendencies are as below:
Mean \[-\] Mode \[=\] \[3\] (Mean \[-\] Median)
We can rearrange this and get more relationship between central tendencies.
Like: \[2\] Mean \[=\] \[3\] Median \[-\] Mode

Note: Always use easy formulas to find the relationship between central tendencies and use arrangement of formulas. Measures of central tendency provide information about typical or average values of a data set. Mean, median and mode are the most commonly used measures of central tendency. It is unique that a data set has one and only one mean. The value of the mean is influenced by all observations in the data set.