Given μ = 75, σ = 8:
calculate the 90% 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 90%:
We get a z-value of 1.282
Excel or Google Sheets formula:
Excel or Google Sheets formula:=NORMINV(0.9,75,8)Evaluate z = 1.282, μ = 75, σ = 8
x = 75 + 1.282(8)
x = 75 + 10.256
x = 85.256
You have 2 free calculationss remaining
What is the Answer?
x = 85.256
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.
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?
- 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
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