Explain why we generally prefer the standard deviation to the range as a measure of variability for quantitative data.

The variance or standard deviation of how much variance as well as dispersion there is in a group of numbers.A smaller standard deviation suggests that information is grouped around the mean, whereas a largestandard deviation showsthat observations are more dispersed.

The range is the difference between the maximum and the minimum value of the data set.It allows you to know the gap between the data set.

Standard Deviation tells us how far a particular value is from the data set's mean. It tells us how far the data is spread from the mean.

We generally prefer standard Deviation over the range because it allows us to understand the data set's variability. In contrast, the range only tells us the difference between the maximum and the minimum value.