Difference between revisions of "Manuals/calci/NORMINV"
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| − | <div style="font-size:30px">'''NORMINV( | + | <div style="font-size:30px">'''NORMINV (Probability,Mean,StandardDeviation)'''</div><br/> |
| − | *<math> | + | *<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. | ||
==Description== | ==Description== | ||
*This function gives the inverse of the Normal Cumulative Distribution for the particular Mean and Standard Deviation. | *This function gives the inverse of the Normal Cumulative Distribution for the particular Mean and Standard Deviation. | ||
| − | *If <math>NORMDIST( | + | *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 | + | *<math>NORMINV</math> 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. | *Suppose the iteration has not converged after 100 searches, then the function gives the error result. | ||
| − | *In <math>NORMINV( | + | *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. |
*This function will return the result as error when | *This function will return the result as error when | ||
1.any one of the argument is non-numeric | 1.any one of the argument is non-numeric | ||
| − | 2.Suppose | + | 2.Suppose Probability<0 or Probability>1 |
| − | 3. | + | 3. StandardDeviation<=0. |
| − | *If | + | *If Mean=0 and StandardDeviation=1, NORMINV uses the Standard Normal Distribution. |
==Examples== | ==Examples== | ||
| Line 30: | Line 33: | ||
==References== | ==References== | ||
[http://en.wikipedia.org/wiki/Normal_distribution Normal distribution ] | [http://en.wikipedia.org/wiki/Normal_distribution Normal distribution ] | ||
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| + | |||
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| + | *[[Z_API_Functions | List of Main Z Functions]] | ||
| + | |||
| + | *[[ Z3 | Z3 home ]] | ||
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.
is the probability corresponding to the Normal Distribution.
is the Mean value.
is the Standard Deviation.
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
, then 
.
using the iterating method to find the value of a Number.
, where 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
- =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
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See Also
References