Statistical
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=NORMINV()
Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation. This function is provided for backward compatibility; consider using the NORM.INV function instead.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=NORMINV(probability,mean,standard_dev)
Hover argument names in the table for details.
Output typeValue
Popularity27 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
probability |
Number | Required | A probability corresponding to the normal distribution. |
mean |
Number | Required | The arithmetic mean of the distribution. |
standard_dev |
Number | Required | The standard deviation of the distribution. |
▣ Examples
▦ Data
| Cell | Value | Description |
|---|---|---|
A2 |
0.908789 | Probability corresponding to the normal distribution |
A3 |
40 | Arithmetic mean of the distribution |
A4 |
1.5 | Standard deviation of the distribution |
A5 |
0.908789 | Probability corresponding to the normal distribution |
A6 |
40 | Arithmetic mean of the distribution |
A7 |
1.5 | Standard deviation of the distribution |
Inverse of the normal cumulative distribution for the terms above
=NORMINV(A2,A3,A4)
Result:
42.000002
§ Remarks
- If any argument is nonnumeric, NORMINV returns the #VALUE! error value.
- If probability <= 0 or if probability >= 1, NORMINV returns the #NUM! error value.
- If standard_dev ≤ 0, NORMINV returns the #NUM! error value.
- If mean = 0 and standard_dev = 1, NORMINV uses the standard normal distribution (see NORMSINV).
- Given a value for probability, NORMINV seeks that value x such that NORMDIST(x, mean, standard_dev, TRUE) = probability. Thus, precision of NORMINV depends on precision of NORMDIST. NORMINV uses an iterative search technique. If the search has not converged after 100 iterations, the function returns the #N/A error value.
✦ Tips
- This function has been replaced with one or more new functions that may provide improved accuracy and whose names better reflect their usage. Although this function is still available for backward compatibility, you should consider using the new functions from now on, because this function may not be available in future versions of Excel. For more information about the new function, see NORM.INV function.
- If mean = 0 and standard_dev = 1, NORMINV uses the standard normal distribution (see NORMSINV).
⚠ Common Errors
#VALUE!
If any argument is nonnumeric, NORMINV returns the #VALUE! error value.
Fix: همه آرگومانها را بهصورت عدد وارد کنید.
#NUM!
If probability <= 0 or if probability >= 1, NORMINV returns the #NUM! error value. If standard_dev ≤ 0, NORMINV returns the #NUM! error value.
Fix: Enter a value between 0 and 1
#N/A
If the search has not converged after 100 iterations, the function returns the #N/A error value.
Fix: مقادیر ورودی بهویژه probability را بررسی کنید و دوباره تلاش کنید؛ در صورت تکرار، ورودیها را سادهتر کنید.
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