Question: Recall that GRE scores are approximately bell-shaped with a mean of 497 and standard deviation of 115. The minimum and maximum possible scores on the GRE exam are 200 and 800, respectively.
a. What is the range for GRE scores?
b. Refer to the result about the relationship between the range and standard deviation in Exercise. Does the result make sense for GRE scores? Explain.
Exercise: Remember that the range for a data set is found as the difference between the maximum and minimum values. Explain why it makes sense that for a bell-shaped data set of a few hundred values, the range should be about 4 to 6 standard deviations.