## How to Calculate Percentile Rank & Percentage

Percentiles are generally used to report scores in tests, like the SAT, GRE and LSAT. for illustration, the 70th percentile on the 2013 GRE was 156. That means if you scored 156 on the test, your score was better than 70 percent of test takers.

The 25th percentile is also called the first quartile.
The 50th percentile is normally the standard( if you are using the third description — see below).
The 75th percentile is also called the third quartile.
The difference between the third and first quartiles is the interquartile range.

“ Percentile ” is in everyday use, but there's no universal description for it. The most common description of a percentile is a number where a certain chance of scores fall below that number. You might know that you scored 67 out of 90 on the test. But that figure has no real meaning unless you know what percentile you fall into.However, that means you scored better than 90 of people who took the test, If you know that your score is in the 90th percentile.

### 2. Percentile Rank

The word “ percentile ” is used informally in the below description. In common use, the percentile generally indicates that a certain chance falls below that percentile. For illustration, if you score in the 25th percentile, also 25 of test takers are below your score. The “ 25 ” is called the percentile rank. In statistics, it can get a little more complicated as there are actually three delineations of “ percentile. ” Then are the first two( see below for description 3), grounded on an arbitrary “ 25th percentile ”

description 1 The utmost percentile is the smallest score that's lesser than a certain chance( “ n ”) of the scores. In this illustration, our n is 25, so we ’re looking for the smallest score that's lesser than 25.

description 2 The utmost percentile is the lowest score that's lesser than or equal to a certain chance of the scores. To paraphrase this, it’s the chance of data that falls at or below a certain observation. This is the description used in AP statistics. In this illustration, the 25th percentile is the score that’s lesser or equal to 25 of the scores.

They may feel veritably analogous, but they can lead to big differences in results, although they're both the 25th percentile rank. Take the ensuing list of test scores, ordered by rank

### 3. How to Find a Percentile

Sample question Find out where the 25th percentile is in the below list.

Step 1 Calculate what rank is at the 25th percentile. Use the following formula
Rank = Percentile/ 100 *( number of particulars 1)
Rank = 25/ 100 *( 8 1) = 0.25 * 9 = 2.25.
A rank of2.25 is at the 25th percentile. still, there is n’t a rank of2.25( ever heard of a high academy rank of2.25? I have n’t!), so you must either round up, or round down. As2.25 is near to 2 than 3, I ’m going to round down to a rank of 2.

Step 2 Choose either description 1 or 2

description 1 The smallest score that's lesser than 25 of the scores. That equals a score of 43 on this list( a rank of 3).
description 2 The lowest score that's lesser than or equal to 25 of the scores. That equals a score of 33 on this list( a rank of 2).

Depending on which description you use, the 25th percentile could be reported at 33 or 43! A third description attempts to correct this possible misapprehension

description 3 A weighted mean of the percentiles from the first two delineations.

In the below illustration, then’s how the percentile would be worked out using the weighted mean

Multiply the difference between the scores by0.25( the bit of the rank we calculated over). The scores were 43 and 33, giving us a difference of 10
(0.25)( 43 – 33) = 2.5
Add the result to the lower score.2.5 33 = 35.5
In this case, the 25th percentile score is 35.5, which makes further sense as it’s in the middle of 43 and 33.

In utmost cases, the percentile is generally description# 1. still, it would be wise to double check that any statistics about percentiles are created using that first description.

### 4. Percentile Range

A percentile range is the difference between two specified percentiles. these can did theoretically be any two percentiles, but the 10- 90 percentile range is the most common. To find the 10- 90 percentile range

Calculate the 10th percentile using the below way.
Calculate the 90th percentile using the below way.

Abate Step 1( the 10th percentile) from Step 2( the 90th percentile).