Statistical
Excel 2010
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=NORM.DIST()
Returns the normal distribution for the specified mean and standard deviation. This function has a very wide range of applications in statistics, including hypothesis testing. If mean or standard_dev is nonnumeric, NORM.DIST returns the #VALUE! error value.
Applies To:
Excel for Microsoft 365Excel for Microsoft 365 for MacExcel 2024Excel 2024 for MacExcel 2021Excel 2021 for MacExcel 2019Excel 2016
=NORM.DIST(x,mean,standard_dev,cumulative)
Hover argument names in the table for details.
Output typeStatistical
Popularity30 / 100
VolatileNo
Dynamic ArrayNo
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◧ Arguments
| Argument | Type | Required | Description |
|---|---|---|---|
x |
Number | Required | The value for which you want the distribution. |
mean |
Number | Required | The arithmetic mean of the distribution. |
standard_dev |
Number | Required | The standard deviation of the distribution. |
cumulative |
Logical | Required | A logical value that determines the form of the function. If cumulative is TRUE, NORM.DIST returns the cumulative distribution function; if FALSE, it returns the probability density function. |
▣ Examples
▦ Data
| Cell | Value | Description |
|---|---|---|
A2 |
42 | Value for which you want the distribution |
A3 |
40 | Arithmetic mean of the distribution |
A4 |
1.5 | Standard deviation of the distribution |
A5 |
42 | Value for which you want the distribution |
A6 |
40 | Arithmetic mean of the distribution |
A7 |
1.5 | Standard deviation of the distribution |
Cumulative distribution function for the terms above
=NORM.DIST(A2,A3,A4,TRUE)
Result:
0.9087888
Probability mass function for the terms above
=NORM.DIST(A2,A3,A4,FALSE)
Result:
0.10934
§ Remarks
- If mean or standard_dev is nonnumeric, NORM.DIST returns the #VALUE! error value.
- If standard_dev ≤ 0, NORM.DIST returns the #NUM! error value.
- If mean = 0, standard_dev = 1, and cumulative = TRUE, NORM.DIST returns the standard normal distribution, NORM.S.DIST.
- The equation for the normal density function (cumulative = FALSE) is:
- When cumulative = TRUE, the formula is the integral from negative infinity to x of the given formula.
✦ Tips
- If mean = 0, standard_dev = 1, and cumulative = TRUE, NORM.DIST returns the standard normal distribution, NORM.S.DIST.
- The equation for the normal density function (cumulative = FALSE) is:
- When cumulative = TRUE, the formula is the integral from negative infinity to x of the given formula.
⚠ Common Errors
#VALUE!
If mean or standard_dev is nonnumeric, NORM.DIST returns the #VALUE! error value.
Fix: برای mean و standard_dev مقادیر عددی وارد کنید.
#NUM!
If standard_dev ≤ 0, NORM.DIST returns the #NUM! error value.
Fix: Correct the input value
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