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Statistics

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AP Statistics
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Chebyshev's Theorem

Chebyshev's Theorem

The Russian mathematician P. L. Chebyshev (1821- 1894) discovered that the fraction of observations falling between two distinct values, whose differences from the mean have the same absolute value, is related to the variance of the population. Chebyshev's Theorem gives a conservative estimate to the above percentage.

Measures of Variation

Measures of Variation

Statistical measures of variation are numerical values that indicate the variability inherent in a set of data measurements. The most common measures of variation are the range, variance and standard distribution.

Range

Percentiles

Percentiles

Percentiles are values in a given set of observations that divide the data into 100 equal parts. These values can be denoted by P1, P2,....., P99, where

Pages

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