Chebychev's Theorem, Part 1 of 2
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Lesson Summary:
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.
Lesson Description:
Part 1 of an explanation of Chebychev's Theorem.
Produced by Kent Murdick
Instructor of Mathematics
University of South Alabama
Questions answered by this video:
- What is Chebychev's Theorem?
- How can you use Chebychev's Theorem in statistics?
- Why is Chebychev's Theorem important in statistics?
- When can Chebychev's Theorem be used?
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Staff Review
This video explains what Chebychevâs Theorem is, how it is used, and what it means in statistics. The lesson also explains this topic in plain English for anyone to understand. This lesson is critical to a beginning statistics class, and is a must-see for any struggling student.
