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

Sources

• 2000: Murray R. Spiegel, John Schiller and R. Alu Srinivasan: Probability and Statistics (2nd ed.): $\S 5$
• 2011: Charles Henry Brase and Corrinne Pellillo Brase: Understandable Statistics (10th ed.): $\S 3.2$