Difference between revisions of "Manuals/calci/PERCENTILE"

From ZCubes Wiki
Jump to navigation Jump to search
 
(11 intermediate revisions by 4 users not shown)
Line 1: Line 1:
−
<div style="font-size:30px">''' PERCENTILE(ar,k) '''</div><br/>
+
<div style="font-size:30px">''' PERCENTILE (Array,kth) '''</div><br/>
−
*<math>ar</math>  is the array of data  
+
*<math>Array</math>  is the array of data .
−
*<math> k </math> is the Percentile  
+
*<math>kth </math> is the Percentile value.
 +
**PERCENTILE(),returns the k-th percentile of values in a range.
  
 
==Description==
 
==Description==
−
*This function gives the k-th percentile value in a given range.
+
*This function gives the <math>k^{th}</math> percentile value in a given range.
 
*Percentile means any of the 100 equal parts into which the range of the values of a set of data can be divided in order to show the distribution of those values.  
 
*Percentile means any of the 100 equal parts into which the range of the values of a set of data can be divided in order to show the distribution of those values.  
 
*The percentile of a given value is determined by the percentage of the values that are smaller than that value.
 
*The percentile of a given value is determined by the percentage of the values that are smaller than that value.
−
*For example we can the 25th percentile is the value  below which 25 percent of the observations may be found.
+
*For example we can have the <math>25^{th}</math> percentile is the value  below which 25 percent of the observations may be found.
 
*The 25th percentile is called  as the first quartile (Q1), the 50th percentile as the median  quartile (Q2), and the 75th percentile as the third quartile (Q3).  
 
*The 25th percentile is called  as the first quartile (Q1), the 50th percentile as the median  quartile (Q2), and the 75th percentile as the third quartile (Q3).  
 
*In general, percentiles and quartiles are specific types of quantiles.
 
*In general, percentiles and quartiles are specific types of quantiles.
−
*In <math>PERCENTILE(ar,k), ar </math> is the array of data that indicating relative standing and <math>k </math> is the Percentile value in the range 0..1(inclusive).
+
*In <math>PERCENTILE(Array,kth)</math>, <math>Array</math> is the array of data that indicating relative standing and <math>kth </math> is the Percentile value in the range <math>0...1</math>(inclusive).
 
*This function will return the result as error when  
 
*This function will return the result as error when  
 
  1. The array value is empty.
 
  1. The array value is empty.
−
  2. k is nonnumeric or k<0 or k>1.
+
  2. <math>k</math> is non-numeric or <math>k < 0</math> or <math> k > 1</math>.
  
 
==Examples==
 
==Examples==
−
#5
+
1.
−
7
+
{| class="wikitable"
−
2
+
|+Spreadsheet
−
9
+
|-
−
PERCENTILE(C1:C4,0.4)=5.4
+
! !! A !! B !! C !! D
−
#15
+
|-
−
20
+
! 1
−
12
+
| 5 || 7 || 2 || 9
−
41
+
|}
−
35
+
=PERCENTILE(A1:D1,0.4) = 5.4
−
PERCENTILE(D1:D5,0.721)=33.26
+
2.
−
#2
+
{| class="wikitable"
−
3
+
|+Spreadsheet
−
4
+
|-
−
PERCENTILE(A1:A3,1.1)=NAN
+
! !! A !! B !! C !! D !! E
 +
|-
 +
! 1
 +
| 15 || 20 || 12 || 41 ||35
 +
|}
 +
=PERCENTILE(A1:E1,0.721) = 33.26
 +
 
 +
3.
 +
{| class="wikitable"
 +
|+Spreadsheet
 +
|-
 +
! !! A !! B !! C
 +
|-
 +
! 1
 +
| 2 || 3 || 4  
 +
|}
 +
=PERCENTILE(A1:A3,1.1) = NAN
 +
 
 +
==Related Videos==
 +
 
 +
{{#ev:youtube|g76wlb_7HSk|280|center|PERCENTILE}}
  
 
==See Also==
 
==See Also==
Line 40: Line 61:
 
==References==
 
==References==
  
−
* [ http://en.wikipedia.org/wiki/Percentile Percentile  ]
+
* [http://en.wikipedia.org/wiki/Percentile Percentile  ]
 +
 
 +
 
 +
 
 +
*[[Z_API_Functions | List of Main Z Functions]]
 +
 
 +
*[[ Z3 |  Z3 home ]]

Latest revision as of 15:46, 8 August 2018

PERCENTILE (Array,kth)


  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array} is the array of data .
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle kth } is the Percentile value.
    • PERCENTILE(),returns the k-th percentile of values in a range.

Description

  • This function gives the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k^{th}} percentile value in a given range.
  • Percentile means any of the 100 equal parts into which the range of the values of a set of data can be divided in order to show the distribution of those values.
  • The percentile of a given value is determined by the percentage of the values that are smaller than that value.
  • For example we can have the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 25^{th}} percentile is the value below which 25 percent of the observations may be found.
  • The 25th percentile is called as the first quartile (Q1), the 50th percentile as the median quartile (Q2), and the 75th percentile as the third quartile (Q3).
  • In general, percentiles and quartiles are specific types of quantiles.
  • In Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle PERCENTILE(Array,kth)} , Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle Array} is the array of data that indicating relative standing and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle kth } is the Percentile value in the range Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 0...1} (inclusive).
  • This function will return the result as error when
1. The array value is empty.
2. Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k}
 is non-numeric or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle k < 0}
 or Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle  k > 1}
.

Examples

1.

Spreadsheet
A B C D
1 5 7 2 9 
=PERCENTILE(A1:D1,0.4) = 5.4

2.

Spreadsheet
A B C D E
1 15 20 12 41 35 
=PERCENTILE(A1:E1,0.721) = 33.26

3.

Spreadsheet
A B C
1 2 3 4 
=PERCENTILE(A1:A3,1.1) = NAN

Related Videos

PERCENTILE

See Also

References


Retrieved from "http://wiki.zcubes.com/index.php?title=Manuals/calci/PERCENTILE&oldid=210962"