Difference between revisions of "Manuals/calci/QUARTILE"

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<div style="font-size:30px">'''QUARTILE(Array,Quartile)'''</div><br/>
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*<math>Array</math>  is the array of numeric values
 +
*<math>Quartile</math> indicates the  position of the quartile
 +
**QUARTILE(), returns the quartile of a data set.
  
<font face="Arial, sans-serif"><font size="2">'''QUARTILE'''</font></font><font face="Arial, sans-serif"><font size="2">(</font></font><font face="Arial, sans-serif"><font size="2">'''arr'''</font></font><font face="Arial, sans-serif"><font size="2">,</font></font><font face="Arial, sans-serif"><font size="2">'''q'''</font></font><font face="Arial, sans-serif"><font size="2">)</font></font>
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==Description==
 +
*This function gives the value of quartile for a given set.
 +
*Quartiles are the values that divide a list of numbers into quarters. 
 +
*A quartile is a type of quantile.
 +
*In <math> QUARTILE(Array,Quartile)</math>, <math>Array</math> is the array  of numeric values to find the Quartile and <math> Quartile</math> is the position of the quartile.
 +
'''qu value'''  '''QUARTILE(result)'''
 +
0  -          Minimum value
 +
1  -          First quartile(25th Percentile)
 +
2    -          Median value(50th Percentile)
 +
3    -          Third quartile(75th Percentile)
 +
4    -          Maximum value 
 +
*The difference between the upper and lower quartiles is called the inter-quartile range.
 +
*When we are giving <math>Quartile</math> in a decimal value, then it will change in to integer.
 +
*This function will give the result as error when
 +
  1. The array is empty
 +
  2. <math>Quartile<0</math> or <math>Quartile>4</math>
 +
  3. MIN,MEDIAN and MAX will give the same value as QUARTILE when <math>Quartile</math> is 0,2,and 4 respectively.
  
<font face="Arial, sans-serif"><font size="2"></font></font><font face="Arial, sans-serif"><font size="2">'''Where arr'''</font></font><font face="Arial, sans-serif"><font size="2">   is the array and q is the value to be return.</font></font>
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==Examples==
 
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{| class="wikitable"
<font face="Arial, sans-serif"><font size="2"></font></font><font face="Arial, sans-serif"><font size="2">If q=0,QUARTILE returns minimum value,</font></font>
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|+Spreadsheet
 
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|-
<font face="Arial, sans-serif"><font size="2">q=1,QUARTILE returns first quartile,i.e.25</font></font><sup><font face="Arial, sans-serif"><font size="2">th</font></font></sup><font face="Arial, sans-serif"><font size="2"> percentile,</font></font>
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! !! A !! B !! C !! D!! E
 
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|-
<font face="Arial, sans-serif"><font size="2"></font></font><font face="Arial, sans-serif"><font size="2">q=2,QUARTILE returns median quartile,i.e.50</font></font><sup><font face="Arial, sans-serif"><font size="2">th</font></font></sup><font face="Arial, sans-serif"><font size="2"> percentile,</font></font>
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! 1
 +
| 2 || 3 || 7 ||9 || 15
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|-
 +
! 2
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| 8 || 12 || 13 || 20 || 25
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|-
 +
! 3
 +
| 14  || 3  || 9  ||6 || 15
 +
|-
 +
! 4
 +
| 12 ||23  || 1  ||42 ||17
 +
|-
 +
! 5
 +
|  ||  ||    ||  || 
 +
|}
  
<font face="Arial, sans-serif"><font size="2"></font></font><font face="Arial, sans-serif"><font size="2">q=3,QUARTILE returns third quartile,i.e.75</font></font><sup><font face="Arial, sans-serif"><font size="2">th</font></font></sup><font face="Arial, sans-serif"><font size="2"> percentile,</font></font>
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*=QUARTILE(A1:A4,0) = 2
 +
*=QUARTILE(A1:A4,1) = 6.5
 +
*=QUARTILE(B2:E3,3) = 16.25
 +
*=QUARTILE(A2:B3,3) = 12.5
 +
*=QUARTILE(A5:E5,3) = NAN
  
<font face="Arial, sans-serif"><font size="2"></font></font><font face="Arial, sans-serif"><font size="2">q=4,QUARTILE returns maximum value</font></font>
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==Related Videos==
  
</div>
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{{#ev:youtube|g76wlb_7HSk|280|center|QUARTILE}}
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<font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2"><font color="#000000">It calculates the quartile of a data set</font>. </font></font></font>
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==See Also==
 +
*[[Manuals/calci/MAX  | MAX ]]
 +
*[[Manuals/calci/MIN  | MIN ]]
 +
*[[Manuals/calci/MEDIAN  | MEDIAN ]]
 +
*[[Manuals/calci/PERCENTILE  |PERCENTILE ]]
  
</div>
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==References==
----
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*[http://en.wikipedia.org/wiki/Quartile Quartile]
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# <font face="Arial, sans-serif"><font size="2">If array is empty, QUARTILE displays zero. </font></font>
 
# <font face="Arial, sans-serif"><font size="2">QUARTILE displays error when q is less than 0 or is grater than 4. </font></font>
 
  
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QUARTILE
 
  
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*[[Z_API_Functions | List of Main Z Functions]]
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<font color="#000000"><font face="Times New Roman, serif"><font size="3">i.e. =QUARTILE (C1R1:C1R8, 1) is 7.5</font></font></font>
 
 
 
</font></font></font></div>
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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| class="sshl_f  " | 5
 
| class="sshl_f" | 7.5
 
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|
 
|- class="odd"
 
| Row3
 
| class="sshl_f" | 8
 
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| class="sshl_f" | 14
 
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| class="sshl_f" | 15
 
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| class="sshl_f" | Row9
 
| class=" " | 16
 
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| class=" " | 0.5253
 
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<div align="left"></div>''''''
 
 
 
{| class="ZCopyPasteContent"
 
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<div id="6Space_Drag" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]</div>
 
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*[[ Z3 |  Z3 home ]]
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Latest revision as of 17:00, 8 August 2018

QUARTILE(Array,Quartile)


  • 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 numeric values
  • 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 Quartile} indicates the position of the quartile
    • QUARTILE(), returns the quartile of a data set.

Description

  • This function gives the value of quartile for a given set.
  • Quartiles are the values that divide a list of numbers into quarters.
  • A quartile is a type of quantile.
  • 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 QUARTILE(Array,Quartile)} , 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 numeric values to find the Quartile 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 Quartile} is the position of the quartile.
qu value   QUARTILE(result)
0   -           Minimum value
1   -           First quartile(25th Percentile)
2    -          Median value(50th Percentile)
3    -          Third quartile(75th Percentile)
4    -          Maximum value  
  • The difference between the upper and lower quartiles is called the inter-quartile range.
  • When we are giving 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 Quartile} in a decimal value, then it will change in to integer.
  • This function will give the result as error when
 1. The array 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 Quartile<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 Quartile>4}

 3. MIN,MEDIAN and MAX will give the same value as QUARTILE when 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 Quartile}
 is 0,2,and 4 respectively.

Examples

Spreadsheet
A B C D E
1 2 3 7 9 15
2 8 12 13 20 25
3 14 3 9 6 15
4 12 23 1 42 17
5
  • =QUARTILE(A1:A4,0) = 2
  • =QUARTILE(A1:A4,1) = 6.5
  • =QUARTILE(B2:E3,3) = 16.25
  • =QUARTILE(A2:B3,3) = 12.5
  • =QUARTILE(A5:E5,3) = NAN

Related Videos

QUARTILE

See Also

References