Lets say,
In 1959, number of women between 20 and 21 enrolled in college = 50 (take it as 11%)
In 1959, number of men between 20 and 21 enrolled in college = 100
The proportion of women among students enrolled is: 50/150= 1/3
In 1981, number of women between 20 and 21 enrolled in college = 150 (increase in number) (take it as 30%)
In 1981, number of men between 20 and 21 enrolled in college = 450
Now, The proportion of women among students enrolled is: 150/600= 1/4,
So, from the above, though the percentage of women between 20-21 enrolled is increased, there is a greater increase in the percentage of men and hence the proportion of women among students is decreased.
So, to say whether there is a decrease or increase in the proportion of women among total, we should know the percentage of men between 20-21 enrolled in the year 1959 and 1981..
In 1959, number of women between 20 and 21 enrolled in college = 50 (take it as 11%)
In 1959, number of men between 20 and 21 enrolled in college = 100
The proportion of women among students enrolled is: 50/150= 1/3
In 1981, number of women between 20 and 21 enrolled in college = 150 (increase in number) (take it as 30%)
In 1981, number of men between 20 and 21 enrolled in college = 450
Now, The proportion of women among students enrolled is: 150/600= 1/4,
So, from the above, though the percentage of women between 20-21 enrolled is increased, there is a greater increase in the percentage of men and hence the proportion of women among students is decreased.
So, to say whether there is a decrease or increase in the proportion of women among total, we should know the percentage of men between 20-21 enrolled in the year 1959 and 1981..
