A high school offers these statistics: 28% of incoming students come from single-parent homes.
72% of incoming students come from two parent homes.
41% of incoming students from single parent homes eventually go on to get a college education.
56% of incoming students from two parent homes eventually go on to get a college education.
What percent of incoming students eventually go on to get a college education?
A)48.5%
B)11.48%
C)40.32%
D)51.8%
E)41%

Question

Quizplus · Accepted Answer

To solve the problem, we need to find the overall percentage of students who eventually go on to get a college education. We can do this by finding the weighted average of the college education rates for single parent and two parent homes, using the percentages of students from each type of home as the weights.

Weighted average = (percentage from single parent homes * percentage of students from single parent homes) + (percentage from two parent homes * percentage of students from two parent homes)

WA = (0.41*0.28) + (0.56*0.72)
WA = 0.1148 + 0.4032
WA = 0.518

Therefore, the overall percentage of incoming students who eventually go on to get a college education is 51.8%. The best choice is D.

A High School Offers These Statistics: 28% of Incoming Students