Identifying Measures of Dispersion

The question asks us to identify which of the given options are measures of dispersion. Measures of dispersion quantify the variability or spread of data points in a dataset.

Analyzing Each Option

• A. Mean Deviation: This is a measure of dispersion. It calculates the average absolute difference between each data point and the mean (or median) of the dataset.
• B. Range: This is a basic measure of dispersion, calculated as the difference between the maximum and minimum values in a dataset.
• C. Standard Deviation: This is a widely used measure of dispersion, indicating how spread out the data points are from their mean. It is the square root of the variance.
• D. Coefficient of Variation: This is a *relative* measure of dispersion, expressed as a percentage. It's calculated by dividing the standard deviation by the mean. It's useful for comparing the degree of variation between datasets with different means.
• E. Coefficient of Correlation: This measures the strength and direction of the *linear relationship* between two variables. It is a measure of association, not dispersion within a single dataset.

Conclusion on Dispersion Measures

Based on the analysis, Mean Deviation (A), Range (B), Standard Deviation (C), and Coefficient of Variation (D) are all considered measures of dispersion. The Coefficient of Correlation (E) is not.

Therefore, the correct set includes A, B, C, and D.