# Of the range and the standard deviation, which is more widely used in statistical analysis, and why?

##### 1 Answer

Standard deviation is most widely used.

Range simply gives the difference between lowest and highest value, and a few extreme values will alter the range excessively.

The standard deviation **most** of the values will be, and in a normal distribution 68% of all values will be within one standard deviation from the mean

Example:

You have a filling machine that fills kilogram bags of sugar. It will not fill exactly

Then you know, that

Every now and again a bag will be far over-filled (say **range** will be a total of

You may decide which of the two gives a better idea of the spread in this distribution.