Difference between revisions of "Manuals/calci/SMALL"

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<div style="font-size:30px">'''SMALL(ar,n)'''</div><br/>
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<div style="font-size:30px">'''SMALL(Array,k)'''</div><br/>
*<math>ar</math> is the array of numbers.  
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*<math>Array</math> is the set of numbers.  
*<math>n</math> is the position of a smallest number.
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*<math>k</math> is the position of a smallest number.
 
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**SMALL(),returns the k-th smallest value in a data set.
  
 
==Description==
 
==Description==
*This function gives the n-th smllest value in given array of numbers.   
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*This function gives the <math>k^{th}</math> smallest value in given array of numbers.   
*In <math>SMALL(ar,n), ar</math> is the array or range of cells containing the data to be used in the function and <math>n</math> is the position of the smallest number.  
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*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.
 
*This function can be used to find data based on relative size.
*Here <math> SMALL(ar,1)</math> = Smallest value in the given set.  
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*Here <math> SMALL(Array,1)</math> = Smallest value in the given set.  
*Suppose there is m number of data points in a given array, then <math>SMALL(ar,m)</math>= Larget value in the given set.
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*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  
 
*This function will give the result as error when  
   1. The ar values are empty.
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   1. The <math>Array</math> values are empty.
   2. n<=0 or n in greater than the number of data points.
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   2. <math>n\le 0</math> or <math>n</math> is greater than the number of data points.
  
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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
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*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],7) = 9
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*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],1) = -5
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*=SMALL([2,7,9,10,67,9,45,18,0,-1,-5,70,52,39],14) = 70
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{| class="wikitable"
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|+Spreadsheet
 +
|-
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! !! A !! B !! C !! D!! E!! F !! G
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|-
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! 1
 +
| -6 || -12 || -20 || -10 || -15 || 0 || -25
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|-
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! 2
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| 1.2 || 1.5 || 1.25 || 1.62 || 1.521 || 1.7 || 1.76
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|}
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*=SMALL(A1:G1,4) = -12
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*=SMALL(A1:G1,6) = -6
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*=SMALL(A2:G2,6) = 1.7
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*=SMALL(A2:G2,8) = NAN
  
==Examples==
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==Related Videos==
#Array={2,7,9,10,67,9,45,18,0,-1,-5,70,52,39}
 
=SMALL(F1:F14,2)=-1
 
=SMALL(F1:F14,7)=9
 
=SMALL(F1:F14,1)=-5
 
=SMALL(F1:F14,14)=70
 
#Array={-6,-12,-20,-10,-15,0,-25}
 
=SMALL(E1:E7,4)=-12
 
=SMALL(E1:E7,6)=-6
 
#Array={1.2,1.5,1.25,1.62,1.521,1.7,1.76}
 
=SMALL(B1:B7,6)=1.7
 
=SMALL(B1:B7,8)=NAN
 
  
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{{#ev:youtube|JRrXuCvtmdc|280|center|SMALL}}
  
 
==See Also==
 
==See Also==
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*[[Manuals/calci/MEDIAN  | MEDIAN ]]
 
*[[Manuals/calci/MEDIAN  | MEDIAN ]]
  
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==References==
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*[http://en.wikipedia.org/wiki/Small_number Small number]
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 +
 +
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*[[Z_API_Functions | List of Main Z Functions]]
  
==References==
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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