The Z Score Cut-Off Calculator
This calculator finds the value needed to be at the x percentile or above for a normally distributed statistics.
For example, suppose you conduct a test in your school with a mean of 70 and a standard deviation of 3. You want to find out what’s the score the students need to have in order to have a higher score than 90% of all the other students.
This calculator will help you find that score. You need to specify the mean (μ), the standard deviation (σ), and the percentile below:
A value of 73.8447 is needed to be above 90% of all other values.
Calculation steps:
z = (X – μ) / σ
1.2816 = (X – 70.0000) / 3.0000
1.2816 * 3.0000 = X – 70.0000
(1.2816 * 3.0000) + 70.0000 = X
73.8447 = X