Madison wants to order t-shirts for the university which consists of about 12000 students. she takes a random sample to figure out how many sizes to order of each kind. If she randomly surveyed 300 students and 129 of them wanted mediums. How many medium t-shirts should she order?

She should order a total of 5,160 medium sized t-shirts

Step-by-step explanation:

To calculate the number of medium sized t-shirt to be ordered, we shall be using the proportion of students that wanted medium sized t-shirt in her survey to multiply the total number of students that we have.

From the question, we can identify that the probability that a student will like a medium sized t-shirt is simply 129/300

Now we have about 12000 students in the University, using the probability from the survey, the number of medium sized t shirt she should order would be;

129/300 * 12,000 = 129 * 40 = 5,160 medium sized t-shirts