Question

What are the three types of average?

Answer 1

The three types of average are as follows:

• Mean: The mean is the ratio of the sum of all values to the total number of values in a data set.

Formula: $\overline{x}=\frac{\sum _{i=1}^n{x}_i}{n}$

• Median: The median is the middle value of the data when the data is arranged in ascending or descending order.

1. When there are an odd number of terms in a data set, then the median is a ${\left(\frac{n+1}{2}\right)}^{th}$term of the arranged data.
2. When there are even number of terms in a data set, then the median is $\left[\frac{{\left({\displaystyle \frac{n}{2}}\right)}^{th}term+{\left({\displaystyle \frac{n}{2}}+1\right)}^{th}term}{2}\right]$, where $n$ is the number of observations

• Mode: The mode is the most frequently occurring number in the data set.

The relationship between the three types of averages is,

$Mode=3\left(Median\right)-2\left(mode\right)$