Question

number of students 3000 4000
number of teachers 190 380
graduation rate 86% 90%
budget per student $10,500 $10,000
% of students in sports club 62% 68%
number of sports medals won 9 7
sat average 1200 1050
sat range (max-min) 900 700

1. analia wants to know which school has the lower sat range relative to the resources invested per student (lower, as sat range is a measure of inequality, which we want to minimize as much as possible). identify these two definitions among the following options. choose 2 answers:

a sat range divided by number of students
b sat range divided by teachers per student
c sat range divided by budget per student
d sat range divided by sat average

Explanation:

To solve this, we analyze each option to see which define the SAT range relative to a resource per student (to minimize inequality in resource investment per student):

Analyzing Option A: SAT range divided by number of students

The "number of students" is a total count, not a "resource per student" (which should be a value per individual student, like budget per student, teachers per student, or SAT average as a measure of student achievement). So this is not relative to a resource per student.

Analyzing Option B: SAT range divided by teachers per student

"Teachers per student" is a resource per student (calculated as $\frac{\text{number of teachers}}{\text{number of students}}$). Dividing SAT range by this value relates the SAT inequality to the teacher - student resource ratio.

Analyzing Option C: SAT range divided by budget per student

"Budget per student" is a resource per student (calculated as $\frac{\text{total budget}}{\text{number of students}}$). Dividing SAT range by this value relates the SAT inequality to the budget - student resource ratio.

Analyzing Option D: SAT range divided by SAT average

The SAT average is a measure of student achievement (not a "resource per student" like budget or teachers). So this is about SAT range relative to student performance, not resource investment per student.

• Option B: SAT range divided by teachers per student (teachers per student is a resource per student, so this relates SAT range to a resource - student ratio).
• Option C: SAT range divided by budget per student (budget per student is a resource per student, so this relates SAT range to a resource - student ratio).
• Options A and D do not relate SAT range to a resource per student (A uses total students, D uses SAT average, not a resource).

Answer:

B. SAT range divided by teachers per student
C. SAT range divided by budget per student