AP Statistics: Chapter 2: Modeling Distributions of Data

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11 Terms

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percentile
percent of values strictly less than or equal to
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Cumulative relative frequency graph
displays the cumulative relative frequency of each class of a frequency distribution
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z-score
(value-mean)/SD; tells number of standard deviation above or below the mean; data above the mean has a positive value while data below the mean has a negative value; distribution always has mean 0 and SD 1
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Z-score interpretation
__Context__ is |__z__| standard deviations __above/below__ the mean.
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add or subtract the same value a from each value
shape: same; center: +/- a; variability: same
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Multiply or divide the same value b from each value
shape: same; center: x// b; variability: x// b
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density curve
shows probability, has area=1, shows the overall pattern of large observations with a smooth curve, always above or on the x-axis, outliers are not described on the curve
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skew left
median>mean; tail to the left
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skew right
median
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normal curve
can find the percentage of values that fall on standard deviation bounds; unusual or rare is over 2 standard deviations away, notation: N(mean,SD)
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distribution of standardized scores (z-scores)
N(0,1)