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# What are the three types of average?

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## 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.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.When there are even number of terms in a data set, then the median is $\left[\frac{{\left(\frac{n}{2}\right)}^{th}term+{\left(\frac{n}{2}+1\right)}^{th}term}{2}\right]$, 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,$Mode=3\left(Median\right)-2\left(mode\right)$

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