EXAMPLE 1.38 Proportion of Partial Qualifiers

What proportion of all students who take the SAT would be partial qualifiers in the eyes of the NCAA? That is, what proportion of students have SAT scores between 720 and 820? First, sketch the areas, exactly as in Example 1.35. We again use as shorthand for an SAT score.

Step 1. Standardize.

Step 2. Use the table.

As in Example 1.35, about 9% of students would be partial qualifiers.