Question: The scores on a standardized test for a certain year are modeled using the normal distribution shown below. The mean of the distribution is 77.3

The scores on a standardized test for a certain year are modeled using the normal distribution shown below. The mean of the distribution is

77.3

points and the standard deviation is

4.8

points.

In the figure,

V

is a number along the axis and is under the highest part of the curve. And,

U

and

W

are numbers along the axis that are each the same distance away from

V

.

Use the empirical rule to choose the best value for the percentage of the area under the curve that is shaded, and find the values of

U

,

V

, and

W

.

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