Question

Think of real-life examples of proportions and how a proportion of a small population could be compared to the proportion of a larger population.

Answer 1

REAL LIFE EXAMPLE OFPROPORTIONS;

Consider the number of smokers in your class.

Let

n = Total strength of your class

x = Number of smokers in your class.

Then

is the proportion of smokers in your class.

EXAMPLE OF HOW A PROPORTION OF A SMALL POPULATION COULD BE COMPARED TO THE PROPORTION OF A LARGER POPULATION:

(i) Small Population:

Consider your class as a small population.

Let

n = Total strength of class = 30 students

x = Number of smokers in your class = 10

So,

p= Proportoion of smokers in this small population of students = 10/30 = 0.3333

(ii) Larger Population:

Consider another college consisting of N = 1000 students, of which 50 are smokers.

Here

N = Size of larger population = 1000

X = Number of smokers in larger population = 50

So,

P = Proportion of smokers in larger population = 50/1000 =0.05

Thus,here,we note that the proportion of small population is greater than the proportion of larger population.