To answer this question, you need to understand the concept of measures of variation.
Measures of variation are statistical measures used to describe the spread or dispersion of a dataset. They provide information about how the data points are spread out from the central value.
Let's go through each option to understand why it is correct or incorrect:
Option A) Mode - The mode is a measure of central tendency, not a measure of variation. It represents the most frequently occurring value in a dataset. Therefore, this option is incorrect.
Option B) Quartile - Quartiles divide a dataset into four equal parts, representing the spread of the data. While quartiles provide information about the spread, they are not considered a direct measure of variation. Therefore, this option is incorrect.
Option C) Mean - The mean is a measure of central tendency, not a measure of variation. It represents the average value of a dataset. Therefore, this option is incorrect.
Option D) Standard Deviation - The standard deviation is a measure of variation. It measures how spread out the data points are from the mean. It quantifies the dispersion of the dataset. Therefore, this option is correct.
The correct answer is Option D) Standard Deviation. This option is correct because the standard deviation is a measure of variation.