Question

Relation Between Mean Median and Mode Is_______

Answer 1

Finding the relation between Mean, Median and Mode.

$\mathbf{\text{Mean}}$ – Mean is the average of the data set which is calculated by adding all the data values together and dividing it by the total number of data sets.

$\mathbf{\text{Median}}$ – Median is the middle value among the observed set of values and is calculated by arranging the values in ascending order or in descending order and then choosing the middle value.

$\mathbf{\text{Mode}}$ – Mode is the number from a data set that has the highest frequency and is calculated by counting the number of times each data value occurs.

The relation between mean, median, and mode is $\text{Mode = 3 Median − 2 Mean}.$

Also, we can use the following relations,

The empirical relationship is

$\text{Mean – Mode = 3 (Mean – Median).}$

$\text{Mean – Mode = 3 Mean – 3 Median}$

$\text{Mode = Mean – 3 Mean + 3 Median}$

Hence, the relation between Mean, Median and Mode is given by $\mathbf{\text{Mode = 3 Median − 2 Mean}}\mathbf{.}$