Answer:
Variability of data around the mean is best expressed through the standard deviation.
Step-by-step explanation:
We have some statistical metrics, and we need to find the best measure of the variability of data around the mean.
First variable is mode. Mode of a set of data values is the value that appears most often. It means the most frequent data.
Second variable is Median. The median is a simple measure of central tendency. It is located around 50% of data range.
Third variable is standard deviation. The standard deviation is found by taking the square root of the average of the squared deviations of the values subtracted from their average value. It means, it will show the dispersion of data around the average value.
According to the definition presents for the three variables, Standard deviation is the most appropriate measure of variability of data around the mean.