Statistic which divides a data set into 100 parts and analyzes it as a percentage

Percentile

Percentile

In <a href="/en/Statistics" title="Statistics" class="wl">statistics</a>, a k-th percentile, also known as percentile score or centile, is a <a href="/en/Raw_score" title="Raw score" class="mw-redirect wl">score</a> <em about="#mwt5" typeof="mw:Transclusion" data-mw="{&quot;parts&quot;:[{&quot;template&quot;:{&quot;target&quot;:{&quot;wt&quot;:&quot;em&quot;,&quot;href&quot;:&quot;./Template:Em&quot;},&quot;params&quot;:{&quot;1&quot;:{&quot;wt&quot;:&quot;below which&quot;}},&quot;i&quot;:0}}]}">below which a given <a href="/en/Percentage" title="Percentage" class="wl">percentage</a> k of scores in its <a href="/en/Frequency_distribution" title="Frequency distribution" class="mw-redirect wl">frequency distribution</a> falls ("exclusive" definition) or a score <em about="#mwt6" typeof="mw:Transclusion" data-mw="{&quot;parts&quot;:[{&quot;template&quot;:{&quot;target&quot;:{&quot;wt&quot;:&quot;em&quot;,&quot;href&quot;:&quot;./Template:Em&quot;},&quot;params&quot;:{&quot;1&quot;:{&quot;wt&quot;:&quot;at or below which&quot;}},&quot;i&quot;:0}}]}">at or below which a given percentage falls ("inclusive" definition).
Percentiles are expressed in the same <a href="/en/Unit_of_measurement" title="Unit of measurement" class="wl">unit of measurement</a> as the input scores, <em about="#mwt7" typeof="mw:Transclusion" data-mw="{&quot;parts&quot;:[{&quot;template&quot;:{&quot;target&quot;:{&quot;wt&quot;:&quot;em&quot;,&quot;href&quot;:&quot;./Template:Em&quot;},&quot;params&quot;:{&quot;1&quot;:{&quot;wt&quot;:&quot;not&quot;}},&quot;i&quot;:0}}]}">not in <a href="/en/Percent" title="Percent" class="mw-redirect wl">percent</a>; for example, if the scores refer to <a href="/en/Human_weight" title="Human weight" class="mw-redirect wl">human weight</a>, the corresponding percentiles will be expressed in kilograms or pounds.
 
<div class="shortdescription nomobile noexcerpt noprint searchaux" style="display:none" about="#mwt1">Statistic which divides a data set into 100 parts and analyzes it as a percentage</div>
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The 25th percentile is also known as the first <a href="/en/Quartile" title="Quartile" class="wl">quartile</a> (Q1), the 50th percentile as the <a href="/en/Median" title="Median" class="wl">median</a> or second quartile (Q2), and the 75th percentile as the third quartile (Q3).
For example, the 50th percentile (median) is the score <em about="#mwt8" typeof="mw:Transclusion" data-mw="{&quot;parts&quot;:[{&quot;template&quot;:{&quot;target&quot;:{&quot;wt&quot;:&quot;em&quot;,&quot;href&quot;:&quot;./Template:Em&quot;},&quot;params&quot;:{&quot;1&quot;:{&quot;wt&quot;:&quot;below&quot;}},&quot;i&quot;:0}}]}">below (or <em about="#mwt9" typeof="mw:Transclusion" data-mw="{&quot;parts&quot;:[{&quot;template&quot;:{&quot;target&quot;:{&quot;wt&quot;:&quot;em&quot;,&quot;href&quot;:&quot;./Template:Em&quot;},&quot;params&quot;:{&quot;1&quot;:{&quot;wt&quot;:&quot;at or below&quot;}},&quot;i&quot;:0}}]}">at or below, depending on the definition) which 50% of the scores in the distribution are found.

The percentile score and the <a href="/en/Percentile_rank" title="Percentile rank" class="wl">percentile rank</a> are related terms. The percentile rank of a score is the percentage of scores in its distribution that are less than it, an exclusive definition, and one that can be expressed with a single, simple formula.
Percentile scores and percentile ranks are often used in the reporting of <a href="/en/Test_score" title="Test score" class="wl">test scores</a> from <a href="/en/Norm-referenced_test" title="Norm-referenced test" class="wl">norm-referenced tests</a>, but, as just noted, they are not the same. For percentile rank, a score is given and a percentage is computed. Percentile ranks are exclusive. If the percentile rank for a specified score is 90%, then 90% of the scores were lower. In contrast, for percentiles a percentage is given and a corresponding score is determined, which can be either exclusive or inclusive. The score for a specified percentage (e.g., 90th) indicates a score below which (exclusive definition) or at or below which (inclusive definition) other scores in the distribution fall.

In statistics, a k-th percentile, also known as percentile score or centile, is a score below which a given percentage k of scores in its frequency distribution falls or a score at or below which a given percentage falls .
Percentiles are expressed in the same unit of measurement as the input scores, not in percent; for example, if the scores refer to human weight, the corresponding percentiles will be expressed in kilograms or pounds. The 25th percentile is also known as the first quartile , the 50th percentile as the median or second quartile , and the 75th percentile as the third quartile .
For example, the 50th percentile is the score below which 50% of the scores in the distribution are found. The percentile score and the percentile rank are related terms.  The percentile rank of a score is the percentage of scores in its distribution that are less than it, an exclusive definition, and one that can be expressed with a single, simple formula.
Percentile scores and percentile ranks are often used in the reporting of test scores from norm-referenced tests, but, as just noted, they are not the same. For percentile rank, a score is given and a percentage is computed.  Percentile ranks are exclusive.  If the percentile rank for a specified score is 90%, then 90% of the scores were lower.  In contrast, for percentiles a percentage is given and a corresponding score is determined, which can be either exclusive or inclusive. The score for a specified percentage indicates a score below which or at or below which other scores in the distribution fall. 