Calculate percentile from t-score in .NET

Question

Is it possible to calculate the percentile from a T-score in .NET? How would you do it?

For example, I received a T-score of 60, which according to the table below gives a percentile of 84.

Is there a formula to convert from T-score to percentile? Or do I always need to use this table to look it up?

Answer 1

According to Springer article on T-Score

T scores have a mean of 50 and a standard deviation of 10. Standard z scores can be converted to T scores using the formula below.

T=10∗z+50

So using MathNet.Numerics package you can simply do

    static double PercintileFromTScore(double tScore)
    {
        var normalDistribution = new MathNet.Numerics.Distributions.Normal(50, 10); // shoulbe be shorten "using" in the real life
        return normalDistribution.CumulativeDistribution(tScore);
    }

This seems to produce results identical to the table you provided.