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Unformatted text preview: Example (p126 Lengths of Fish) 1) Let us denote the 70 th percentile by x*. By definition, x* is the value such that 70% of the fish lengths are less than x* and 30% are greater. Convert this Z value to the X scale. Thus, the 70 th percentile of the fish length distribution is 56.3 mm. .30 .52 Z = Q * 54 .52 4.5 * (.52)(4.5) 54 56.3 x x= = = + = Section 4.3 The Normal Curves Example (p126 Lengths of Fish) 2) Let us denote the 20 th percentile by x*. By definition, x* is the value such that 20% of the fish lengths are less than x* and 80% are greater. Convert this Z value to the X scale. Thus, the 20 th percentile of the fish length distribution is 50.2 mm. .80 .84 Z = Q * 54 .84 4.5 * ( .84)(4.5) 54 50.2 x x= = = + =...
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 Spring '08
 N/A
 Normal Distribution, Standard Deviation, 20%, Normal Curves, 4.5 mm, herring Pomolobus aestivalis

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