Percentile for Normal Distribution Calculator

Percentile for Normal Distribution Calculator Image to Crop

Given μ = 5.6, σ = 2.1:
calculate the 87% percentile ranking.

Setup our z-score

The z-score formula is:

z =	x - μ
	σ

Rearranging this formula, we get:

x = μ + zσ

Find z-value for 87%:

We get a z-value of 1.126391129

Excel or Google Sheets formula:

Excel or Google Sheets formula:=NORMINV(0.87,5.6,2.1)

Evaluate z = 1.126391129, μ = 5.6, σ = 2.1

x = 5.6 + 1.126391129(2.1)

x = 5.6 + 2.3654213709

x = 7.9654213709

You have 1 free calculations remaining

What is the Answer?

x = 7.9654213709

How does the Percentile for Normal Distribution Calculator work?

Free Percentile for Normal Distribution Calculator - Given a mean, standard deviation, and a percentile range, this will calculate the percentile value.
This calculator has 3 inputs.

What 1 formula is used for the Percentile for Normal Distribution Calculator?

What 5 concepts are covered in the Percentile for Normal Distribution Calculator?

meanA statistical measurement also known as the averagenormal distributionan arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.percentilea score below which a given percentage k of scores in its frequency distribution falls or a score at or below which a given percentage falls.percentile for normal distributionstandard deviationa measure of the amount of variation or dispersion of a set of values. The square root of variance