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Just How Normal Are You?

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The Presidents’ Heights number line is shown, with the black, red, and blue vertical lines. A bell shaped normal curve is drawn so that it is centered about the mean.
Presidents' Heights

The normal curve creates a visual in which we can estimate different population percentages. Recall the 68-95-99.7 Rule.

The graph shows a normal curve. The horizontal axis is labeled ‘standard deviations’ and extends from negative infinity to infinity (not shown), counting in increments of one. There is no vertical axis shown The curve starts just above where negative 4 would be, rises to a maximum point when x = 0, and then decreases to just above where 4 would be. The area under the curve is divided into eight sections. The first section extends from negative infinity to negative 3, and is labeled 0.13%. The second section extends from negative 3 to negative 2, and is labeled 2.15%. The third section extends from negative 2 to negative 1, and is labeled 13.59%. The fourth section extends from negative 1 to 0, and is labeled 34.13%. The fifth section extends from 0 to 1, and is labeled 34.13%. The sixth section extends from 1 to 2, and is labeled 13.59%. The seventh section extends from 2 to 3, and is labeled 2.15%. The eighth section extends from 3 to infinity and is labeled .13%. Above the curve, different sections of the area under the curve are detailed. The section that extends from negative 1 to 1 is labeled 68.26%. The section that extends from negative 2 to 2 is labeled 95.44%. The section that extends from negative 3 to 3 is labeled 99.74%

Use the Presidents’ Heights normal curve to answer the following questions.

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