Difference between revisions of "Manuals/calci/NORMINV"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''NORMINV'''('''p''','''m''','''sd''') '''Where p'''  is a probability corresponding to the normal distribution ...")
 
 
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<div style="font-size:30px">'''NORMINV (Probability,Mean,StandardDeviation)'''</div><br/>
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*<math>Probability</math>  is the probability  corresponding to the Normal Distribution.
 +
*<math>Mean</math> is the Mean value.
 +
*<math>StandardDeviation</math> is the Standard Deviation.
 +
**NORMINV(),returns the inverse of the normal cumulative distribution.
  
'''NORMINV'''('''p''','''m''','''sd''')
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==Description==
 +
*This function gives the inverse of the Normal Cumulative Distribution for the particular Mean and Standard Deviation.
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*If <math>NORMDIST (Number,Mean,StandardDeviation,Cumulative,accuracy)=Probability</math>, then <math>NORMINV (Probability,Mean,StandardDeviation)=Number</math>.
 +
*<math>NORMINV</math> using the iterating method to find the value of a Number.
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*Suppose the iteration has not converged after 100 searches, then the function gives the error result.
 +
*In <math>NORMINV (Probability,Mean,StandardDeviation)</math>, where <math>Probability</math> is the corresponding probability of the Normal Distribution, <math>Mean</math> is the Arithmetic Mean of the Normal Distribution and <math>StandardDeviation</math> is the Standard Deviation of the Normal Distribution.
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*This function will return the result as error when
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1.any one of the argument is non-numeric
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2.Suppose Probability<0 or Probability>1
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3. StandardDeviation<=0.
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*If Mean=0 and StandardDeviation=1, NORMINV uses the Standard Normal Distribution.
  
'''Where p'''  is a probability corresponding to the normal distribution and  m  is the arithmetic mean of the distribution and '''sd'''  is the standard deviation of the distribution.
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==Examples==
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#=NORMINV(0.01884908749,17.4,3.2) = 10.750011
 +
#=NORMINV(0.998742,5.4,2.3) = 12.349244172
 +
#=NORMINV(1,7.2,2.3) = NULL
  
</div>
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==Related Videos==
----
 
<div id="1SpaceContent" class="zcontent" align="left">
 
  
It calculates  the inverse of the normal cumulative distribution for the specified mean and standard deviation.
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{{#ev:youtube|jMFs_1gmqWw|280|center|NORMDIST AND NORMINV}}
  
</div>
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==See Also==
----
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*[[Manuals/calci/NORMDIST  | NORMDIST ]]
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*[[Manuals/calci/NORMSDIST  | NORMSDIST ]]
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*[[Manuals/calci/NORMSINV  | NORMSINV ]]
  
·          NORMINV displays error for the nonnumeric argument.
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==References==
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[http://en.wikipedia.org/wiki/Normal_distribution Normal distribution ]
  
·          When p&lt;0 or &gt; 1 , NORMINV displays error.
 
  
·          When sd &lt;= 0, NORMINV shows error.
 
  
</div>
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*[[Z_API_Functions | List of Main Z Functions]]
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
  
NORMINV
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*[[ Z3 Z3 home ]]
 
 
</div></div>
 
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<font size="3"><font face="Times New Roman">Let’s see an example in (Column1 Row 1, Column1Row2, Column1Row3)</font></font>
 
 
 
<font size="3">i.e.=NORMINV(C1R1,C1R2,C1R3)</font>
 
 
 
<font size="3"><nowiki>=NORMINV(0.808789,30,0.5) is 30.4367</nowiki></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="TABLE1" class="SpreadSheet blue"
 
|- class="even"
 
| class=" " |
 
| Column1
 
| class="        " | Column2
 
| class="    " | Column3
 
| class="  " |
 
| class="  " | Column4
 
|
 
|- class="odd"
 
| class=" " | Row1
 
| class="sshl_f" | 0.808789
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|
 
|- class="even"
 
| class="  " | Row2
 
| class="sshl_f" | 30
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|
 
|- class="odd"
 
| Row3
 
| class="sshl_f" | 0.5
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="   " |
 
| class="sshl_f" |
 
|
 
|- class="even"
 
| Row4
 
| class="sshl_f" | 30.4367
 
| class="sshl_f" |
 
|
 
| class=" " |
 
| class="sshl_f" |
 
|
 
|- class="odd"
 
| class="sshl_f" | Row5
 
| class="sshl_f " |
 
| class="  " |
 
|
 
|
 
| class=" SelectTD SelectTD" |
 
<div id="5Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="5Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
 
|
 
|- class="even"
 
| class=" " | Row6
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|
 
| class="sshl_f" |
 
|
 
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|}
 
 
 
<div align="left"></div>''''''</div></div>
 
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Latest revision as of 16:21, 10 August 2018

NORMINV (Probability,Mean,StandardDeviation)


  • is the probability corresponding to the Normal Distribution.
  • is the Mean value.
  • is the Standard Deviation.
    • NORMINV(),returns the inverse of the normal cumulative distribution.

Description

  • This function gives the inverse of the Normal Cumulative Distribution for the particular Mean and Standard Deviation.
  • If , then .
  • using the iterating method to find the value of a Number.
  • Suppose the iteration has not converged after 100 searches, then the function gives the error result.
  • In , where is the corresponding probability of the Normal Distribution, is the Arithmetic Mean of the Normal Distribution and is the Standard Deviation of the Normal Distribution.
  • This function will return the result as error when
1.any one of the argument is non-numeric
2.Suppose Probability<0 or Probability>1
3. StandardDeviation<=0.
  • If Mean=0 and StandardDeviation=1, NORMINV uses the Standard Normal Distribution.

Examples

  1. =NORMINV(0.01884908749,17.4,3.2) = 10.750011
  2. =NORMINV(0.998742,5.4,2.3) = 12.349244172
  3. =NORMINV(1,7.2,2.3) = NULL

Related Videos

NORMDIST AND NORMINV

See Also

References

Normal distribution