Difference between revisions of "Manuals/calci/SMALL"

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<div id="6SpaceContent" class="zcontent" align="left"><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">'''SMALL'''</font></font></font><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2"> (</font></font></font><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">'''arr'''</font></font></font><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">,</font></font></font><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">'''j'''</font></font></font><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">)</font></font></font>
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<div style="font-size:30px">'''SMALL(Array,k)'''</div><br/>
 +
*<math>Array</math> is the set of numbers.
 +
*<math>k</math> is the position of a smallest number.
 +
**SMALL(),returns the k-th smallest value in a data set.
  
<font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">'''Where arr'''</font></font></font><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">   is an array and j is the position in the array or range of data to return.</font></font></font>
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==Description==
 +
*This function gives the <math>k^{th}</math> smallest value in given array of numbers. 
 +
*In <math>SMALL(Array,k)</math>, <math>Array</math> is the array or range of cells containing the data to be used in the function and <math>k</math> is the position of the smallest number.
 +
*This function can be used to find data based on relative size.
 +
*Here <math> SMALL(Array,1)</math> = Smallest value in the given set.
 +
*Suppose there is <math>m</math> number of data points in a given array, then <math>SMALL(Array,m)</math>= Largest value in the given set.
 +
*This function will give the result as error when
 +
  1. The <math>Array</math> values are empty.
 +
  2. <math>n\le 0</math> or <math>n</math> is greater than the number of data points.
  
</div>
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==Examples==
----
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*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],2) = -1
<div id="1SpaceContent" class="zcontent" align="left"> <font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">It calculates values with a particular relative standing in a data set </font></font></font>
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*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],7) = 9
 +
*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],1) = -5
 +
*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],14) = 70
 +
{| class="wikitable"
 +
|+Spreadsheet
 +
|-
 +
! !! A !! B !! C !! D!! E!! F !! G
 +
|-
 +
! 1
 +
| -6 || -12 || -20 || -10 || -15 || 0 || -25
 +
|-
 +
! 2
 +
| 1.2 || 1.5 || 1.25 || 1.62 || 1.521 || 1.7 || 1.76
 +
|}
 +
*=SMALL(A1:G1,4) = -12
 +
*=SMALL(A1:G1,6) = -6
 +
*=SMALL(A2:G2,6) = 1.7
 +
*=SMALL(A2:G2,8) = NAN
  
<font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">i.e.the j-th smallest value in a data set. </font></font></font>
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==Related Videos==
  
</div>
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{{#ev:youtube|JRrXuCvtmdc|280|center|SMALL}}
----
 
<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
SMALL
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==See Also==
 +
*[[Manuals/calci/LARGE  | LARGE ]]
 +
*[[Manuals/calci/MAX  | MAX ]]
 +
*[[Manuals/calci/MIN  | MIN ]]
 +
*[[Manuals/calci/MEDIAN  | MEDIAN ]]
  
</div></div>
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==References==
----
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*[http://en.wikipedia.org/wiki/Small_number Small number]
<div id="8SpaceContent" class="zcontent" align="left"><font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">
 
  
<font color="#7f7f7f"><font face="Arial, sans-serif"><font size="2">i.e=SMALL(C1R1:C1R9,3) is 9.</font></font></font>
 
  
</font></font></font></div>
 
----
 
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
----
 
<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
----
 
<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
----
 
<div id="2SpaceContent" class="zcontent" align="left">
 
  
{| id="TABLE3" class="SpreadSheet blue"
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*[[Z_API_Functions | List of Main Z Functions]]
|- class="even"
 
| class=" " |
 
| class="  " | Column1
 
| class="    " | Column2
 
| Column3
 
| Column4
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f  " | 13
 
| class="sshl_f" | 9
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 14
 
| class=" " |
 
|
 
|
 
|- class="odd"
 
| Row3
 
| class="sshl_f" | 15
 
|
 
|
 
|
 
|- class="even"
 
| Row4
 
| class="sshl_f" | 9
 
|
 
|
 
| class="  " |
 
|- class="odd"
 
| class=" " | Row5
 
| class="sshl_f" | 10
 
|
 
|
 
|
 
|- class="even"
 
| class="sshl_f" | Row6
 
| class="sshl_f" | 7
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class="sshl_f  " | Row7
 
| class="sshl_f" | 26
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| class="sshl_f" | Row8
 
| class="sshl_f" | 1
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class="sshl_f" | Row9
 
| class="sshl_f " | 17
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|}
 
  
<div align="left">[[Image:calci1.gif]]</div></div>
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*[[ Z3 |  Z3 home ]]
----
 

Latest revision as of 16:12, 8 August 2018

SMALL(Array,k)


  • is the set of numbers.
  • is the position of a smallest number.
    • SMALL(),returns the k-th smallest value in a data set.

Description

  • This function gives the smallest value in given array of numbers.
  • In , is the array or range of cells containing the data to be used in the function and is the position of the smallest number.
  • This function can be used to find data based on relative size.
  • Here = Smallest value in the given set.
  • Suppose there is number of data points in a given array, then = Largest value in the given set.
  • This function will give the result as error when
 1. The  values are empty.
 2.  or  is greater than the number of data points.

Examples

  • =SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],2) = -1
  • =SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],7) = 9
  • =SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],1) = -5
  • =SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],14) = 70
Spreadsheet
A B C D E F G
1 -6 -12 -20 -10 -15 0 -25
2 1.2 1.5 1.25 1.62 1.521 1.7 1.76
  • =SMALL(A1:G1,4) = -12
  • =SMALL(A1:G1,6) = -6
  • =SMALL(A2:G2,6) = 1.7
  • =SMALL(A2:G2,8) = NAN

Related Videos

SMALL

See Also

References