Dec 5 B2 BW Chebyshev's Theorem

Front

What does the 'k' in Chebyshev's Theorem represent?

Back

The number of standard deviations from the mean.

Front

What is Chebyshev's Theorem used for?

Back

To determine the minimum percentage of values that fall within a certain number of standard deviations from the mean.

Front

If the mean of a distribution is 20 and the standard deviation is 2, what percent of values fall between 10 and 30 according to Chebyshev's Theorem?

Back

At least 96%.

Front

What is the formula for Chebyshev's Theorem?

Back

At least 1 - (1/k^2) of the data values fall within k standard deviations from the mean.

Front

If k = 2 in Chebyshev's Theorem, what is the minimum percentage of data values that fall within 2 standard deviations from the mean?

Back

At least 75%.

Front

For a distribution with a mean of 30 and a standard deviation of 6, what is the range for at least 75% of the data?

Back

Between 18 and 42 years.

Front

What is the significance of Chebyshev's Theorem in statistics?

Back

It applies to all distributions, regardless of shape, providing a way to understand data spread.

Front

If the average number of trials for mice to learn a maze is 12 with a standard deviation of 2, what is the minimum percentage of data values that fall between 4 and 20 trials?

Back

At least 93.75%.

Front

What does Chebyshev's Theorem imply about data distribution?

Back

It indicates that data is spread out and allows for estimation of how much data lies within a certain range.

Front

How can Chebyshev's Theorem be applied in real-world scenarios?

Back

It can be used in quality control, finance, and any field that requires understanding variability in data.