Proportion VS Percentage
Proportion and Percentage in a Data Set
What proportion says about our data?
If we have data of some students and we want to know about a certain number of students that fit our desired query, the proportion would rank the result from 0 as the minimum to 1 as the maximum value. Where 0 means no students fit in our query, 1 means all students satisfy our query, 0.5 would mean half of the students satisfy our query and so on.
How to measure proportion?
Let’s assume,
n = Total number of students in our data set
m = Output number of students from our query
Proportion, Pₒ =?Pₒ = m/n
Here, 0≤ Pₒ ≤ 1
m≤n
Example of proportion:
Let’s say we have 80 students record in our data set, among which 50 are male and the rest of them are female students & we want to know what is the proportion of female students in our data set?
Pₒ = m/n = 30/80 = 0.375
which is greater than 0 and less than 1. 0.375 is less than 0.5, so we can say that less than half of the students are female in our data set only by knowing the proportion.
Practice problem:
What is the proportion of the male students in our data set & also describe your findings?
