Question

Twelve out of the first 100 people who entered the mall were wearing glasses. If this sample is representative of 550 people who entered the mall, about how many of them will probably be wearing glasses?

a) 66
b) 60
c) 72
d) 64

Answer 1

Approximately 66 out of 550 people entering the mall will probably be wearing glasses based on the representative sample of 100 people where 12 were wearing glasses.

Step-by-step explanation:

The student asked: If twelve out of the first 100 people who entered the mall were wearing glasses, and this sample is representative, how many out of 550 people entering the mall will probably be wearing glasses? To solve this problem, we apply a simple proportion where we set up a ratio of glasses wearers to the total sample and then scale it to the larger group of people.

First, calculate the percentage of people wearing glasses in the sample:
12 glasses wearers / 100 people = 0.12 or 12%

Next, apply this percentage to the total number of people:
0.12 x 550 people = 66 people

Therefore, approximately 66 people out of 550 would be expected to wear glasses if the sample is representative.