Manuals/calci/PERCENTILE

PERCENTILE(ar,k)

• $ar$ is the array of data .
• $k$ is the Percentile value.

Description

• 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 $PERCENTILE(ar,k)$, $ar$ is the array of data that indicating relative standing and $k$ 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

• MAX
• MIN
• MEDIAN
• QUARTILE

References

• Percentile

• List of Main Z Functions

• Z3 home