The Percentile calculator refers to the process in which one of the variables divides the variables with distribution of a hundred groups into equal frequencies.
Example 1:-
Consider the 25th percentile for eight numbers given in the table.
The first step is to calculate the rank of the 25th percentile.
The formula is R = P/100 x (n +1) where is the desired percentile and n is the number of ranks. From the above interpretation we get to know that P is twenty five and N is eight.
So the output is
R = 25/100 x (8+1) = 9/4 = 2.25
Now the percentile will be –
1. Lets suppose IR is the integer portion of R i.e number left to the decimal = 2
2. FR = fraction portion of R it tends to be 0.25
3. Scores with rank i.e IR +1 (2+1) i.e scores with rank 2 is 5 and scores with rank 3 is 8
4. Multiply the difference between the scores by FR and result to the lower score (0.25)(8-5)+5 = 5.75
Therefore 25th percentile is 5.75
Example 2: In a certain exam, 88 students scored less than John and the total number of students who appeared were 100. So calculate John’s Percentile.
Solution - Number of people who scored less than John – 88
Total number of people – 100
Example 1:-
Consider the 25th percentile for eight numbers given in the table.
The first step is to calculate the rank of the 25th percentile.
The formula is R = P/100 x (n +1) where is the desired percentile and n is the number of ranks. From the above interpretation we get to know that P is twenty five and N is eight.
So the output is
R = 25/100 x (8+1) = 9/4 = 2.25
Now the percentile will be –
1. Lets suppose IR is the integer portion of R i.e number left to the decimal = 2
2. FR = fraction portion of R it tends to be 0.25
3. Scores with rank i.e IR +1 (2+1) i.e scores with rank 2 is 5 and scores with rank 3 is 8
4. Multiply the difference between the scores by FR and result to the lower score (0.25)(8-5)+5 = 5.75
Therefore 25th percentile is 5.75
Example 2: In a certain exam, 88 students scored less than John and the total number of students who appeared were 100. So calculate John’s Percentile.
Solution - Number of people who scored less than John – 88
Total number of people – 100
