Measures of Dispersion

Measures of dispersion are statistical measures that quantify the variability or spread of a data set. They provide insights into how much the data values deviate from the central tendency (mean or median). Understanding measures of dispersion is crucial for data analysis, hypothesis testing, and drawing meaningful conclusions from a given dataset.

Measures of Dispersion

Commonly used measures of dispersion include:

• Range: It is the difference between the maximum and minimum values in a dataset. It is a simple measure but can be affected by outliers.
• Variance: It measures the average squared deviation of data values from the mean. A higher variance indicates greater variability.
• Standard Deviation: It is the square root of variance and expresses the variability in the same units as the data. A larger standard deviation indicates more spread.
• Coefficient of Variation: It is a relative measure of dispersion that expresses the standard deviation as a percentage of the mean. It is useful for comparing the variability of datasets with different units.
• Interquartile Range: It is the difference between the upper and lower quartiles, representing the range of the middle 50% of the data.