if the range of data set A is larger than the data set B than the standard deviation of set A ids always_____ larger than the standard deviation of B (fill in the blank)A- always B-somtimes C-never ?????

Question

ybarrap · Answer

Standard deviation and range are both measures of dispersion, that is how "wide" the data sets are in terms of values.
Larger ranges produce larger standard deviations because both are related to the amount of dispersion.

If the sets come from a distribution with with different ranges, it is possible that a sample with the smaller range will have a higher standard deviation than the one with the larger range. The number of times this happens depends on how close the ranges are to each other.

If a give sample has a larger range, it will also have a larger standard deviation (always).