Which of the following is not a measure of dispersion? Skewness Kurtosis Range Percentile

To determine which of the given options is not a measure of dispersion, let's briefly examine each term:

1. Skewness: This is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. It indicates the direction and relative magnitude of a distribution's deviation from the normal distribution. However, skewness itself is not a measure of dispersion.

2. Kurtosis: This measures the "tailedness" of the probability distribution. It provides insight into the distribution's peaks and the presence of outliers but is not primarily focused on dispersion.

3. Range: This is a measure of dispersion that indicates the difference between the highest and lowest values in a dataset.

4. Percentile: This is also a measure of dispersion, as it indicates the relative standing of a value within a dataset, helping to understand the distribution of data points.

Summary

Among the options given, Skewness and Kurtosis involve the shape of the distribution rather than the spread of the data. However, since you are specifically looking for a measure of dispersion, the best answer is:

Final Answer: Skewness is not a measure of dispersion.