<-- Enter μ
<-- Enter σ
<-- Enter percentile %
  

Given μ = 1000, σ = 50:
calculate the 99% 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 99%:

We get a z-value of 2.326

Excel or Google Sheets formula:

Excel or Google Sheets formula:=NORMINV(0.99,1000,50)

Evaluate z = 2.326, μ = 1000, σ = 50

x = 1000 + 2.326(50)

x = 1000 + 116.3

x = 1116.3


You have 2 free calculationss remaining




What is the Answer?
x = 1116.3
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?

x = μ + zσ

For more math formulas, check out our Formula Dossier

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

mean
A statistical measurement also known as the average
normal distribution
an 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.
percentile
a 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 distribution
standard deviation
a measure of the amount of variation or dispersion of a set of values. The square root of variance

Percentile for Normal Distribution Calculator Video


Tags:



Add This Calculator To Your Website