MATH 1P98 Lecture Notes - Lecture 7: Interquartile Range, Quartile, Box Plot
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In terms of chebyshev"s theorem, we deal with k standard deviations away from the mean or and + k is a variable. It can have any value larger than 1. Typical values are k=2 or k=3. k can also be a decimal number like 1. 2 or 5. 3. So if we don"t know what shape a distribution has, but we know , , and , we can use chebyshev"s theorem to determine a floor for the minimum amount of data enclosed by those boundaries. We can use the z-score to identify unusual values: recall range rule of thumb: most. Usual values will fall within two standard deviations of the mean. Because z-score measures how many standard deviations above or below the mean an observation is, it can be used to tell us if an observation is unusual or not. Percentiles: measures of location, denoted p1 , p2 , , p99, which divide a set of data into.