The question asks to state the expression for the mean deviation for a grouped quantitative distribution.

Probability and StatisticsMean DeviationGrouped DataStatistical FormulasDescriptive Statistics
2025/5/4

1. Problem Description

The question asks to state the expression for the mean deviation for a grouped quantitative distribution.

2. Solution Steps

The mean deviation for a grouped quantitative distribution is given by the formula:
MD=fixixˉfiMD = \frac{\sum f_i |x_i - \bar{x}|}{\sum f_i}
Where:
MDMD = Mean Deviation
fif_i = Frequency of the i-th group
xix_i = Midpoint of the i-th group
xˉ\bar{x} = Mean of the grouped data
xˉ=fixifi\bar{x} = \frac{\sum f_i x_i}{\sum f_i}

3. Final Answer

MD=fixixˉfiMD = \frac{\sum f_i |x_i - \bar{x}|}{\sum f_i}

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