Start by finding the probability of choosing a career in education.
112
We are given a table with the results of a survey of seventh graders.
Career Field
Students
Entertainment
17
Education
14
Medicine
11
Public Service
6
Sports
2
Before we can predict the the number of students out of 400 will enter the education field, let's find the probability of choosing a career in education. To do so, we need to find the total number of students.
17+ 14+ 11+ 6+ 2= 50
Next, we can divide the number of students that chose a career in education by the total number of students.
P(education)=14/50
Now, we want to predict the number of students that will enter the education field if there are 400 students. Let n represent this number. We can assume that the ratio of students choosing a career in education is the same among all of the students. Using this information, we can write an equivalent ratio.
14/50=n/400
Because 50*8 is equal to 400, we can multiply 14 by 8 to find n.
We can predict that 112 students will enter the education field because 14* 8 equals 112.
