FormulaCraft

NORMINV

NORMINV finds the x-value at which the cumulative normal distribution equals a specified probability, essentially the percentile value. Use it to determine cutoff scores, risk thresholds, or any scenario where you need to know what value corresponds to a given probability under a normal distribution.

Excel
=NORMINV(0.95,70,10)
Google Sheets
=NORMINV(0.95,70,10)

Verified example

Computed by a real spreadsheet engine on the sample data below.

ProbabilityMeanStdDev
0.957010
0.757010
0.507010

=NORMINV(0.95,70,10)86.4485362695

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Sample data — click any cell to edit

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How it works

  1. 1Specify the target cumulative probability (between 0 and 1), such as 0.95 for the 95th percentile.
  2. 2Provide the mean and standard deviation of the distribution.
  3. 3Enter =NORMINV(probability, mean, standard_dev) to get the corresponding x-value.

Need a version for your data?

Try: “Find the test score cutoff that only the top 5% of students exceed given a mean of 70 and SD of 10

Related

Written and reviewed by FormulaCraft Team. Each formula on this page is run through our verification engine before publishing.

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