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School Enrichment Programs

APSTAT-GKKH6Y

A school district has $1,200$ students entering the first grade. Each child is administered a standardized intelligence test that is known to have a mean of $100$ and a standard deviation of $15$.

State guidelines require that children scoring either above $125$ or below $75$ be enrolled in special enrichment programs.

How many children will the school district expect to enroll in the enrichment programs for this group of first graders?

A

$50$

B

$57$

C

$114$

D

$120$

E

This cannot be determined without knowing the individual test results for each student.