3 cy Histogram for ightsofMen Class Intervals G 0 I J ctl Q P Height Figure 6 2 3 shows a relative frequency histogram for the same population of men but with class intervals of width one inch cy Histogram for ights of Men lass Intervals G i 0 J ctl Q P Height Figure 6 2 4 shows a relative frequency histogram for the same population of men but with class intervals of width one half inch y Histogram for ghtsofMen lch Class G i 0 J ctl Q P Height 4 Density curve a curve that descril es the overall pattern of a distribution I total area under a probability density curve is 1 0 the curve never drops below the horizon tal axis FIGURE 6 2 1 Relative Frequency Histogram of aNormal Population c 6 Height 7 r K FIGURE 6 2 5 Proportion of Values J L Za Is Equal to Proportion of Values J L za I C I J ell a J1 za J1 za Variable FIGURE 6 2 6 Proportion of Values J L za Is Equal to Proportion of Values J L za Proportion J1 za I C I J ell a J1 za Variable Proportion J1 za I C I J ell a J1 za Variable J FIGURE 6 2 7 Two Normal Populations with the Same Standard Deviations but Different Means G t 00 1 11 11 I I Cl l 3 0 1 l C Cl l c Cl l I I I I I I I I o 5 10 Variable FIGURE 6 2 8 Two Normal Populations with the Same Means but Different Standard Deviations u t I I I Cl l l C Cl l c 11 0 0 1 Cl l I 5 o Variable 5 11 The standard normal distribution The standard normal distribution is the normal distribution with J l O a 1 The name Z is often used for a variable that has the standard normal distribu tion For this particular normal distriblltion figure 1 20 The 68 95 99 7 rule for normal distributions I
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