Of the range and the standard deviation, which is more widely used in statistical analysis, and why?
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
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
You may decide which of the two gives a better idea of the spread in this distribution.