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XLeratorDB/statistics Documentation

SQL Server QUARTILE_EXC function


QUARTILE_EXC

Updated: 28 February 2011


Use the aggregate function QUARTILE_EXC to return the quartile of a dataset. QUARTILE_EXC is equal to PERCENTILE_EXC(x, k*.25). For more information on how PERCENTILE_EXC is calculated, go to the PERCENTILE_EXC documentation.
Syntax
XLeratorDB syntax for QUARTILE_EXC function for SQL Server
Arguments
@x
the values on which the quartile is to be calculated. @x is an expression of type float or of a type that can be implicitly converted to float.
 
@k
the quartile to be calculated. @k is an expression of type float or of a type that can be implicitly converted to float.
 
Return Types
float
Remarks
·         If @k is less than zero or if @k is greater than four, QUARTILE_EXC returns an error.
·         If @k = 2, then QUARTILE_EXC returns the MEDIAN of the dataset.
·         If @k = 0, then QUARTILE_EXC returns NULL.
·         If @k = 4, then QUARTILE _EXC returns NULL.
·         If @k between 1 and 3, then QUARTILE_EXC returns the PERCENTILE_EXC of the dataset for @k * 0.25.
·         @K must remain invariant for a group.
·         QUARTILE_EXC is an aggregate function and follows the same conventions as all other aggregate functions in SQL Server.
·         If there is only one value in the dataset, that value will be returned by the function.
·         Available in XLeratorDB / statistics 2008 only
Examples
In this example, we calculate the 3rd quartile for selected salary inforrmation collected from 10 cities.
SELECT wct.QUARTILE_EXC(
      salary      --@x
      ,3          --@k
      ) as QUARTILE
FROM (VALUES
      ('New York','429-00-6486',236503),
      ('New York','90-70-2526',224472),
      ('New York','87-85-0404',139802),
      ('New York','716-89-3089',185287),
      ('New York','159-78-5370',211900),
      ('New York','195-97-6820',186703),
      ('New York','95-49-2813',167451),
      ('New York','37-20-7422',149462),
      ('New York','44-48-0076',214708),
      ('New York','514-79-0041',226485),
      ('Los Angeles','526-34-4521',196402),
      ('Los Angeles','800-50-0868',205359),
      ('Los Angeles','41-34-3618',195679),
      ('Los Angeles','854-29-9398',131925),
      ('Los Angeles','673-30-3623',171091),
      ('Los Angeles','537-58-8889',110217),
      ('Los Angeles','808-68-4234',192836),
      ('Los Angeles','359-81-6735',209346),
      ('Los Angeles','731-80-2303',182186),
      ('Los Angeles','214-58-0842',125355),
      ('Chicago','456-79-9682',183698),
      ('Chicago','807-97-4784',194282),
      ('Chicago','981-16-3724',156083),
      ('Chicago','252-34-3054',226619),
      ('Chicago','613-28-9452',153366),
      ('Chicago','785-25-8628',205709),
      ('Chicago','451-26-7350',206085),
      ('Chicago','443-94-2401',120587),
      ('Chicago','696-26-8113',171185),
      ('Chicago','277-31-9760',211160),
      ('Dallas','537-88-7532',245231),
      ('Dallas','393-25-3503',238733),
      ('Dallas','612-17-0712',103152),
      ('Dallas','384-93-7285',228842),
      ('Dallas','745-10-7587',154749),
      ('Dallas','950-20-4045',102156),
      ('Dallas','477-48-7550',196533),
      ('Dallas','427-52-8597',238970),
      ('Dallas','891-19-0810',245204),
      ('Dallas','564-79-7612',196946),
      ('Boston','216-84-7134',128035),
      ('Boston','515-84-4073',249093),
      ('Boston','92-43-5775',205026),
      ('Boston','144-08-1092',198120),
      ('Boston','469-14-5012',174143),
      ('Boston','379-92-8313',166215),
      ('Boston','71-22-5132',105058),
      ('Boston','257-39-0324',107247),
      ('Boston','611-57-4279',118561),
      ('Boston','956-53-2865',232789),
      ('Denver','711-81-0072',240720),
      ('Denver','673-39-5028',159706),
      ('Denver','554-33-3980',232493),
      ('Denver','770-03-5304',203310),
      ('Denver','732-47-5077',123106),
      ('Denver','573-18-3567',149999),
      ('Denver','93-92-0334',162657),
      ('Denver','424-76-1468',116322),
      ('Denver','403-47-0063',246058),
      ('Denver','460-58-1833',198043),
      ('Miami','221-04-4153',130962),
      ('Miami','179-09-9839',227246),
      ('Miami','564-76-9437',144027),
      ('Miami','407-48-4081',138549),
      ('Miami','526-79-1840',208006),
      ('Miami','72-68-4977',170109),
      ('Miami','235-72-3903',191669),
      ('Miami','436-62-0474',161164),
      ('Miami','430-52-3914',162507),
      ('Miami','459-27-5541',238972),
      ('Phoenix','576-38-4531',238281),
      ('Phoenix','65-64-1278',197678),
      ('Phoenix','880-29-1997',159183),
      ('Phoenix','304-72-1881',194733),
      ('Phoenix','61-20-1046',221045),
      ('Phoenix','64-95-5514',105577),
      ('Phoenix','262-63-4021',186399),
      ('Phoenix','661-84-1023',234974),
      ('Phoenix','892-31-4821',115076),
      ('Phoenix','319-91-9463',239548),
      ('San Franciso','136-67-6873',148829),
      ('San Franciso','5-41-7374',114161),
      ('San Franciso','381-26-8852',232509),
      ('San Franciso','620-64-6243',112686),
      ('San Franciso','128-33-5550',208679),
      ('San Franciso','422-00-0156',107685),
      ('San Franciso','370-98-5607',133224),
      ('San Franciso','91-58-9543',218955),
      ('San Franciso','911-35-0448',187826),
      ('San Franciso','734-65-1268',223683),
      ('Atlanta','334-97-0585',240384),
      ('Atlanta','405-12-4222',124350),
      ('Atlanta','43-05-7567',233836),
      ('Atlanta','882-97-7996',134091),
      ('Atlanta','368-91-4292',173787),
      ('Atlanta','408-04-5921',140769),
      ('Atlanta','232-13-5280',206307),
      ('Atlanta','88-41-2584',118159),
      ('Atlanta','539-03-7548',116718),
      ('Atlanta','587-63-6935',174801)
      )p(city, id, salary)
 

This produces the following result.
              QUARTILE
----------------------
             217893.25
 
(1 row(s) affected)
 


In this example we will calculate the 3rd quartile in each city.
SELECT city
,wct.QUARTILE_EXC(salary, 3) as QUARTILE
FROM (VALUES
      ('New York','429-00-6486',236503),
      ('New York','90-70-2526',224472),
      ('New York','87-85-0404',139802),
      ('New York','716-89-3089',185287),
      ('New York','159-78-5370',211900),
      ('New York','195-97-6820',186703),
      ('New York','95-49-2813',167451),
      ('New York','37-20-7422',149462),
      ('New York','44-48-0076',214708),
      ('New York','514-79-0041',226485),
      ('Los Angeles','526-34-4521',196402),
      ('Los Angeles','800-50-0868',205359),
      ('Los Angeles','41-34-3618',195679),
      ('Los Angeles','854-29-9398',131925),
      ('Los Angeles','673-30-3623',171091),
      ('Los Angeles','537-58-8889',110217),
      ('Los Angeles','808-68-4234',192836),
      ('Los Angeles','359-81-6735',209346),
      ('Los Angeles','731-80-2303',182186),
      ('Los Angeles','214-58-0842',125355),
      ('Chicago','456-79-9682',183698),
      ('Chicago','807-97-4784',194282),
      ('Chicago','981-16-3724',156083),
      ('Chicago','252-34-3054',226619),
      ('Chicago','613-28-9452',153366),
      ('Chicago','785-25-8628',205709),
      ('Chicago','451-26-7350',206085),
      ('Chicago','443-94-2401',120587),
      ('Chicago','696-26-8113',171185),
      ('Chicago','277-31-9760',211160),
      ('Dallas','537-88-7532',245231),
      ('Dallas','393-25-3503',238733),
      ('Dallas','612-17-0712',103152),
      ('Dallas','384-93-7285',228842),
      ('Dallas','745-10-7587',154749),
      ('Dallas','950-20-4045',102156),
      ('Dallas','477-48-7550',196533),
      ('Dallas','427-52-8597',238970),
      ('Dallas','891-19-0810',245204),
      ('Dallas','564-79-7612',196946),
      ('Boston','216-84-7134',128035),
      ('Boston','515-84-4073',249093),
      ('Boston','92-43-5775',205026),
      ('Boston','144-08-1092',198120),
      ('Boston','469-14-5012',174143),
      ('Boston','379-92-8313',166215),
      ('Boston','71-22-5132',105058),
      ('Boston','257-39-0324',107247),
      ('Boston','611-57-4279',118561),
      ('Boston','956-53-2865',232789),
      ('Denver','711-81-0072',240720),
      ('Denver','673-39-5028',159706),
      ('Denver','554-33-3980',232493),
      ('Denver','770-03-5304',203310),
      ('Denver','732-47-5077',123106),
      ('Denver','573-18-3567',149999),
      ('Denver','93-92-0334',162657),
      ('Denver','424-76-1468',116322),
      ('Denver','403-47-0063',246058),
      ('Denver','460-58-1833',198043),
      ('Miami','221-04-4153',130962),
      ('Miami','179-09-9839',227246),
      ('Miami','564-76-9437',144027),
      ('Miami','407-48-4081',138549),
      ('Miami','526-79-1840',208006),
      ('Miami','72-68-4977',170109),
      ('Miami','235-72-3903',191669),
      ('Miami','436-62-0474',161164),
      ('Miami','430-52-3914',162507),
      ('Miami','459-27-5541',238972),
      ('Phoenix','576-38-4531',238281),
      ('Phoenix','65-64-1278',197678),
      ('Phoenix','880-29-1997',159183),
      ('Phoenix','304-72-1881',194733),
      ('Phoenix','61-20-1046',221045),
      ('Phoenix','64-95-5514',105577),
      ('Phoenix','262-63-4021',186399),
      ('Phoenix','661-84-1023',234974),
      ('Phoenix','892-31-4821',115076),
      ('Phoenix','319-91-9463',239548),
      ('San Franciso','136-67-6873',148829),
      ('San Franciso','5-41-7374',114161),
      ('San Franciso','381-26-8852',232509),
      ('San Franciso','620-64-6243',112686),
      ('San Franciso','128-33-5550',208679),
      ('San Franciso','422-00-0156',107685),
      ('San Franciso','370-98-5607',133224),
      ('San Franciso','91-58-9543',218955),
      ('San Franciso','911-35-0448',187826),
      ('San Franciso','734-65-1268',223683),
      ('Atlanta','334-97-0585',240384),
      ('Atlanta','405-12-4222',124350),
      ('Atlanta','43-05-7567',233836),
      ('Atlanta','882-97-7996',134091),
      ('Atlanta','368-91-4292',173787),
      ('Atlanta','408-04-5921',140769),
      ('Atlanta','232-13-5280',206307),
      ('Atlanta','88-41-2584',118159),
      ('Atlanta','539-03-7548',116718),
      ('Atlanta','587-63-6935',174801)
      )p(city, id, salary)
GROUP BY city

This produces the following result.
city                       QUARTILE
------------ ----------------------
Atlanta                   213189.25
Boston                    211966.75
Chicago                   207353.75
Dallas                     240528.5
Denver                    234549.75
Los Angeles               198641.25
Miami                        212816
New York                  224975.25
Phoenix                   235800.75
San Franciso                 220137
 
(10 row(s) affected)


In this example, we will select all the cities where the 3rd quartile is greater than 225,000.
SELECT city
,wct.QUARTILE_EXC(salary, 3) as QUARTILE
FROM (VALUES
      ('New York','429-00-6486',236503),
      ('New York','90-70-2526',224472),
      ('New York','87-85-0404',139802),
      ('New York','716-89-3089',185287),
      ('New York','159-78-5370',211900),
      ('New York','195-97-6820',186703),
      ('New York','95-49-2813',167451),
      ('New York','37-20-7422',149462),
      ('New York','44-48-0076',214708),
      ('New York','514-79-0041',226485),
      ('Los Angeles','526-34-4521',196402),
      ('Los Angeles','800-50-0868',205359),
      ('Los Angeles','41-34-3618',195679),
      ('Los Angeles','854-29-9398',131925),
      ('Los Angeles','673-30-3623',171091),
      ('Los Angeles','537-58-8889',110217),
      ('Los Angeles','808-68-4234',192836),
      ('Los Angeles','359-81-6735',209346),
      ('Los Angeles','731-80-2303',182186),
      ('Los Angeles','214-58-0842',125355),
      ('Chicago','456-79-9682',183698),
      ('Chicago','807-97-4784',194282),
      ('Chicago','981-16-3724',156083),
      ('Chicago','252-34-3054',226619),
      ('Chicago','613-28-9452',153366),
      ('Chicago','785-25-8628',205709),
      ('Chicago','451-26-7350',206085),
      ('Chicago','443-94-2401',120587),
      ('Chicago','696-26-8113',171185),
      ('Chicago','277-31-9760',211160),
      ('Dallas','537-88-7532',245231),
      ('Dallas','393-25-3503',238733),
      ('Dallas','612-17-0712',103152),
      ('Dallas','384-93-7285',228842),
      ('Dallas','745-10-7587',154749),
      ('Dallas','950-20-4045',102156),
      ('Dallas','477-48-7550',196533),
      ('Dallas','427-52-8597',238970),
      ('Dallas','891-19-0810',245204),
      ('Dallas','564-79-7612',196946),
      ('Boston','216-84-7134',128035),
      ('Boston','515-84-4073',249093),
      ('Boston','92-43-5775',205026),
      ('Boston','144-08-1092',198120),
      ('Boston','469-14-5012',174143),
      ('Boston','379-92-8313',166215),
      ('Boston','71-22-5132',105058),
      ('Boston','257-39-0324',107247),
      ('Boston','611-57-4279',118561),
      ('Boston','956-53-2865',232789),
      ('Denver','711-81-0072',240720),
      ('Denver','673-39-5028',159706),
      ('Denver','554-33-3980',232493),
      ('Denver','770-03-5304',203310),
      ('Denver','732-47-5077',123106),
      ('Denver','573-18-3567',149999),
      ('Denver','93-92-0334',162657),
      ('Denver','424-76-1468',116322),
      ('Denver','403-47-0063',246058),
      ('Denver','460-58-1833',198043),
      ('Miami','221-04-4153',130962),
      ('Miami','179-09-9839',227246),
      ('Miami','564-76-9437',144027),
      ('Miami','407-48-4081',138549),
      ('Miami','526-79-1840',208006),
      ('Miami','72-68-4977',170109),
      ('Miami','235-72-3903',191669),
      ('Miami','436-62-0474',161164),
      ('Miami','430-52-3914',162507),
      ('Miami','459-27-5541',238972),
      ('Phoenix','576-38-4531',238281),
      ('Phoenix','65-64-1278',197678),
      ('Phoenix','880-29-1997',159183),
      ('Phoenix','304-72-1881',194733),
      ('Phoenix','61-20-1046',221045),
      ('Phoenix','64-95-5514',105577),
      ('Phoenix','262-63-4021',186399),
      ('Phoenix','661-84-1023',234974),
      ('Phoenix','892-31-4821',115076),
      ('Phoenix','319-91-9463',239548),
      ('San Franciso','136-67-6873',148829),
      ('San Franciso','5-41-7374',114161),
      ('San Franciso','381-26-8852',232509),
      ('San Franciso','620-64-6243',112686),
      ('San Franciso','128-33-5550',208679),
      ('San Franciso','422-00-0156',107685),
      ('San Franciso','370-98-5607',133224),
      ('San Franciso','91-58-9543',218955),
      ('San Franciso','911-35-0448',187826),
      ('San Franciso','734-65-1268',223683),
      ('Atlanta','334-97-0585',240384),
      ('Atlanta','405-12-4222',124350),
      ('Atlanta','43-05-7567',233836),
      ('Atlanta','882-97-7996',134091),
      ('Atlanta','368-91-4292',173787),
      ('Atlanta','408-04-5921',140769),
      ('Atlanta','232-13-5280',206307),
      ('Atlanta','88-41-2584',118159),
      ('Atlanta','539-03-7548',116718),
      ('Atlanta','587-63-6935',174801)
      )p(city, id, salary)
GROUP BY city
HAVING wct.QUARTILE_EXC(salary, 3) > 225000

This produces the following result.
city                       QUARTILE
------------ ----------------------
Dallas                    238910.75
Denver                    225197.25
Phoenix                   231491.75
 
(3 row(s) affected)


In this example we calculate the first quartile for a variety of data groupings, including one NULL value and a GROUP that only contains one member.
SELECT dsc
      ,wct.QUARTILE_EXC(x, 1) as QUARTILE
FROM (VALUES
      ('ABC', 15),('ABC',20),('ABC',35),('ABC',40),('ABC',50),
      ('DEF', 7),('DEF',10),('DEF',17),('DEF',20),('DEF',25),('DEF',70),
      ('GHI', 21),('DEF',28),('DEF',NULL),('DEF',38),('DEF',31),('DEF',52),
      ('JKL', 37)
      ) p(dsc, x)
GROUP BY dsc

This produces the following result.
dsc                QUARTILE
---- ----------------------
ABC                    17.5
DEF                   15.25
GHI                      21
JKL                      37
 

(4 row(s) affected)



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