Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:

What is the expected number (in thousands) of 18 to 21 year olds in 4-year programs?
A) 3869
B) 684
C) 3747.4
D) 2607
E) 5214

Question

Here is a two-way table showing enrollment data for full-time undergraduate students in U.S. colleges and universities. The entries are thousands of students:

What is the expected number (in thousands) of 18 to 21 year olds in 4-year programs?
A) 3869 
B) 684 
C) 3747.4 
D) 2607 
E) 5214

Quizplus · Accepted Answer

To find the expected number of 18 to 21 year olds in 4-year programs, we need to look at the row for "4-year programs" and the column for "18-21 years old," and calculate the expected value using the formula: (row total x column total) / overall total. 
So, we have: 
Expected value = (11845 x 31669) / 201839 = 3747.4 (rounded to one decimal place) 
Therefore, the best choice is C.

Here Is a Two-Way Table Showing Enrollment Data for Full-Time