Measures of Variation

Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of …

The range is one of the measures of variation. It can be defined as the difference between a dataset's highest and lowest values. For example, in the …

The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The …

The sampling variability of a statistic is defined as how much the statistic varies from one sample to another. The sampling variability of a statistic is …

The standard deviation is the most common measure of variation. It is a value that tells us how far a data value is from the mean value in a dataset. …

 The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative …

The coefficient of variation measures the dispersion of the data points or distribution around the mean. Using the coefficient of variation, we can …

The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on …

The empirical rule, also known as the three-sigma rule, allows a statistician to interpret the standard deviation in a normally distributed dataset. The …

Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is …

The mean absolute deviation is also a measure of the variability of data in a sample. It is the absolute value of the average difference between the data …