True or​ False: Chebyshev's inequality applies to all distributions regardless of​ shape, but the empirical rule holds only for distributions that are bell shaped.

Respuesta :

Answer:

True.

Step-by-step explanation:

The empirical rule states that for a bell shaped distribution, nearly all of the data will fall within three standard deviations of the mean.

Chebyshev’s inequality says that at least [tex]1-\frac{1}{K^{2} }[/tex] of data from a sample will fall within [tex]K[/tex] standard deviations from the mean.

We have to remember that Chebyshev’s inequality has been proven mathematically for any distribution. But the empirical rule is a tool created for bell shaped distributions.

Q&A Education