The Z score cut-off calculator gives us the value needed to be attained by a variable to lie over a certain percentile. For example, suppose that a student wants to know how many marks he needs to obtain in order to score above the 95th percentile.
In addition, suppose that we know the mean and standard distribution for the marks distribution. We can obtain the cut-off marks by inputting the values of the mean, standard deviation, and required percentile in the calculator below.
A value of 91.57941 is needed to be above 95% of all other values.
z = (X – μ) / σ
1.64485 = (X – 85) / 4
1.64485 * 4 = X – 85
(1.64485 * 4) + 85 = X
91.57941 = X