Definition

Noun: - A measure of statistical dispersion: The mean deviation from the mean is the arithmetic average of the absolute differences between each data point in a set and the mean of that set. It quantifies the average distance of the data points from the center (the mean).

Usage

This term is used in the context of descriptive statistics to describe the variability or spread within a dataset. It is less sensitive to extreme values (outliers) than the standard deviation because it uses absolute values.

Examples

• In a sentence:
  • To understand the consistency of the test scores, the teacher calculated the mean deviation from the mean.
  • The mean deviation from the mean for the dataset was 2.5, indicating low variability.

Advanced Usage

• In statistical reporting: The mean deviation from the mean is sometimes reported alongside the standard deviation to give a fuller picture of data dispersion, especially when the data may not be normally distributed.
  • The analysis presented both the standard deviation and the mean deviation from the mean to compare their robustness to outliers.

Variants and Related Words

• Mean Absolute Deviation (MAD): A synonym for mean deviation from the mean. It is a more common term in some statistical contexts.
  • The Mean Absolute Deviation (MAD) is often taught as an introductory measure of spread.
• Standard Deviation: A related but different measure of dispersion that squares the deviations before averaging, giving more weight to larger deviations.
• Variance: The average of the squared deviations from the mean, which is the square of the standard deviation.

Synonyms

• Mean Absolute Deviation (MAD)
• Average Absolute Deviation

Related Phrases

• Deviation from the mean: Refers to the difference, whether positive or negative, of a single data point from the mean value. The mean deviation from the mean is the average of the absolute values of these individual deviations.
  • First, calculate each score's deviation from the mean, then find the average of their absolute values.

Noun

1. the arithmetic mean of the absolute values of deviations from the mean of a distribution