## Range (Statistics)

 (1)

For small samples, the range is a good estimator of the population Standard Deviation (Kenney and Keeping 1962, pp. 213-214). For a continuous Uniform Distribution
 (2)

the distribution of the range is given by
 (3)

Given two samples with sizes and and ranges and , let . Then

 (4)

The Mean is
 (5)

and the Mode is
 (6)

References

Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 1, 3rd ed. Princeton, NJ: Van Nostrand, pp. 213-214, 1962.