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Figure 3.1 Histogram of the Iowa Test vocabulary scores of all seventh-grade students in Gary, Indiana. The smooth curve shows the overall shape of the distribution. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.2a The proportion of scores less than or equal to 6.0 in the actual data is 0.303. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.2b The proportion of scores less than or equal to 6.0 from the density curve is 0.293. The density curve is a good approximation to the distribution of the data. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.4 The density curve for the location of accidents along a 5-mile bike path, for Exercise 3.2. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.5a The median and mean of a symmetric density curve both lie at the center of symmetry. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.5b The median and mean of a right-skewed density curve. The mean is pulled away from the median toward the long tail. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.8 Two Normal curves, showing the mean m and standard deviation s. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.9 The 68–95–99.7 rule for Normal distributions. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company Figure 3.10 The 68–95–99.7 rule applied to the distribution of Iowa Test scores for seventh-grade students in Gary, Indiana, for Example 3.2. The mean and standard deviation are m = 6.84 and s = 1.55. The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company UN Figure 3.1 The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company The Basic Practice of Statistics, 6th Edition David S. Moore, William I. Notz, Michael A. Fligner Copyright ©2013, 2010, 2007, 2004 by W. H. Freeman and Company