Convert the uniform distribution to the normal distribution?

Questions
1

The distribution pattern of raw data is uniform.

rawData = 
  RandomVariate[
   TruncatedDistribution[{10, 50}, UniformDistribution[{28, 34}]], 
   100];
{FindDistribution@#, DistributionFitTest@#} &@rawData

How should it convert to the normal distribution?

2

I don’t think I’m really understanding what you want but here’s a possibility:

normalData = InverseCDF[NormalDistribution[0, 1], (rawData - 28)/(34 - 28)];
3

Or perhaps a PowerTransform?

4

Thanks~~ this is precisely the way I want!

I am not proficient in statistical methods~~

However, I know that keeping the data in the normal distribution is necessary for many statistical methods.

Manually adjusting the data distribution has been bothering me for a long time!

I was hoping to find a consistent way to put it into workflow!

5

The data is what is important. Forcing data to look normal to meet assumptions of a statistical procedure can be putting emphasis on the wrong thing. It’s maybe the statistical procedure that should be modified.