Normal Distribution

The height of women within the ages of 18 to 24 years old is normally distributed with a mean height of 60 in. and standard deviation of 2.5 in. The normal curve is plotted below. Looking at the x-axis of the normal curve, the points labeled A, B, C, D, E, and F are set at unit intervals of the standard deviation above and below the mean. This is just like how we labeled the normal curves in class. For example, points A and B are set at one standard deviation (which is 2.5) above and below the mean, i.e. at 57.5 and 62.5, respectively. Likewise, points C and D are two standard deviations above and below the mean, i.e. at 55 and 65, and E and F are three standard deviations away at 52.5 and 67.5. We will use the sliding buttons (a) & (b) to try to answer some questions.