representation. n. 1. the act or an instance of representing or the state of being represented. 2. anything that represents, such as a verbal or pictorial portrait. 3. anything that is represented, such as an image brought clearly to mind.
The standard deviation and range are both measures of the spread of a data set. Each number tells us in its own way how spaced out the data are, as they are both a measure of variation. The range relies on a very simple formula of subtracting the minimum data value from the maximum.
Standard deviation: It is the square root of mean/average of squared deviations of data point from mean i.e. we subtract the mean from each data point; take it's square value (which is again non-negative); sum it up and divide by the number of observations. Surely, standard deviation is a better & most commonly used measure of variation.