Difference between revisions of "Manuals/calci/PERCENTILE"

Latest revision as of 16:46, 8 August 2018

PERCENTILE (Array,kth)

$Array$ is the array of data .
is the Percentile value.
- PERCENTILE(),returns the k-th percentile of values in a range.

This function gives the $k^{th}$ 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 $25^{th}$ 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 $PERCENTILE(Array,kth)$ , $Array$ is the array of data that indicating relative standing and $kth$ is the Percentile value in the range $0...1$ (inclusive).
This function will return the result as error when

1. The array value is empty.
2.  $k$  is non-numeric or  $k<0$  or  $k>1$ .

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

@@ 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 value.
+*<math>kth </math> is the Percentile value.
+**PERCENTILE(),returns the k-th percentile of values in a range.
 ==Description==
@@ Line 10: / Line 11: @@
 *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 <math>PERCENTILE(ar,k)</math>,  <math>ar </math>  is the array of data that indicating relative standing and <math>k </math> is the Percentile value in the range <math>0...1</math>(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
 . The array value is empty.
@@ Line 61: / Line 62: @@
 * [http://en.wikipedia.org/wiki/Percentile Percentile  ]
+*[[Z_API_Functions | List of Main Z Functions]]
+*[[ Z3 |   Z3 home ]]