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.
Note: 1  The standard deviation is like a distance: by definition, it is positive. 2  The standard deviation can be zero if all the data points are the same. 3  The standard deviation can be larger than the mean. The range of numbers has to be large for this to occur. One such sample is {0, 0, 1, 15, 20}, where = 7.2 and s 8.6. If 5 were added to each number in a set of data, the mean would increase by 5 and the standard deviation would remain the same.