Definition:Mean of Grouped Data

Definition
Let $\mathsf C_1, \mathsf C_2, \cdots, \mathsf C_n$ be class intervals of data.

Let $m_i$ be the class mark of the $i$th class interval.

Let $f_i$ be the frequency of the $i$th class interval.

The mean of the grouped data for $\mathsf C_1, \mathsf C_2, \cdots, \mathsf C_n$ is defined as:


 * $\ds \bar x_{\mathsf C} := \frac 1 n \sum_{i \mathop = 1}^n m_i f_i$

Also see

 * Definition:Arithmetic Mean