Excel NORM.INV Function
The NORM.INV calculates and returns the inverse of the normal cumulative distribution for the given arithmetic mean and standard deviation.
The NORM.INV function returns a numeric value.
- The #VALUE! error occurs if any of the supplied arguments is nonnumeric.
- The #NUM! error occurs if:
- standard_dev ≤ 0;
- probability ≤ 0 or probability ≥ 1.
Suppose that you have a list of probabilities (normal cumulative distribution) that are calculated with the NORM.DIST function as shown in the formula bar above, to get the inverse of the cumulative distribution with the same set of mean and standard deviation values, please copy or enter the formula below in cell F9, and press Enter to get the result:
√ Note: The dollar signs ($) above indicate absolute references, which means the array argument in the formula won't change when you move or copy the formula to other cells. However, there are no dollar signs added to probability since you want it to be dynamic. After entering the formula, drag the fill handle down to apply the formula to the below cells.
Note that for the normal cumulative distribution (probability) that is calculated with NORM.DIST(x, mean, standard_dev, TRUE), the NORM.INV function will return the x value based on the same probability, mean and standard_dev.
NORM.INV VS. NORM.S.INV
- NORM.INV uses the normal distribution with the mean and standard deviation you specified;
- NORM.S.INV uses the standard normal distribution which is a special case of the normal distribution where the mean is 0 and the standard deviation is 1.