The different between Non-parametric statistics and Parametric statistics?

Question

I have 1D data. I want to classify the data to $N$ cluster. The two common ways can use

1. Using the mean/average value as a criterion to classify
2. Assumption that the data follows a distribution with mean and variance. Then use mean and variance as criterions to classify

My question is that: Can I say that first method (using mean) is Non-parametric statistics method and second method( mean and variance) is Parametric statistics? Is it right?