Definition:Mean of Grouped Data

Definition
Let $\mathsf C_1, \mathsf C_2, \cdots, \mathsf C_n$ be classes of data about a population.

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

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

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


 * $\bar{x}_{\mathsf C} := \dfrac 1 n \displaystyle \sum_{i \mathop = 1}^n m_i f_i$

Also see

 * Arithmetic Mean