In this lesson on Chebychev's Theorem, the theorem is explained as it relates a percentage of the population to an interval about the mean of the population. The theorem states that for any distribution and k greater than 1, at least 1 minus 1 over k squared times 100 percent of the data falls within plus or minus k standard deviations of the mean regardless of the distribution of the population. The lesson also includes a problem using the theorem to find the percent of Mobellions who commute between 66 and 78 miles per week.
Part 1 of an explanation of Chebychev's Theorem.
Produced by Kent Murdick
Instructor of Mathematics
University of South Alabama