To determine which of the following is not a measure of dispersion, let's start by defining what measures of dispersion are.
Measures of dispersion describe the spread or variability within a set of data. Common measures of dispersion include:
1. Range: The difference between the highest and lowest values in a dataset.
2. Mean Deviation: The average of the absolute deviations of each data point from the mean of the dataset.
3. Standard Deviation: A measure of the amount of variation or dispersion of a set of values, calculated as the square root of the variance.
Now let's consider each of the options given:
a. Mode: This is the value that appears most frequently in a dataset.
b. Mean Deviation: As defined above, this is a measure of dispersion.
c. Range: As defined above, this is also a measure of dispersion.
d. Standard Deviation: As defined above, this is a measure of dispersion.
Upon review, we see that three out of the four options (Mean Deviation, Range, and Standard Deviation) are indeed measures of dispersion. The only option that is not a measure of dispersion is:
a. Mode
Therefore, the answer to the question "Which of the following is not a measure of dispersion?" is:
a. Mode
