You are given the following data of the number of male and female students in a University

Question:

You are given the following data of the number of male and female students in a University

FacultyMaleFemaleTotal
Arts8605401400
Science240160400
Business Studies100100200
Total12008002000

Work out how many male and female students would be selected from each category if we follow stratified proportionate sampling method and take 10% of the universe equivalent to the sample size.

Solution:

The sample size is 10% of the universe hence 200 students woud be selected in the sample. Since 6 strata are formed and we want to follow proportionate stratified sampling method, we will take 10% from each stratum. The number of students selected shall be as follows:

FacultyMaleFemaleTotal
Arts8654140
Science241640
Business Studies101020
Total12080200

The advantage of stratified samples is that when they are properly designed, they more accurately reflect characteristics of the population from which they were chosen than do other kinds of sampling.