Classifying data : how well my data matches a pattern

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Hello experts,
I have some data that they seem to follow a pattern and can be visually classified into three classes. Here are two samples of each class:
It seems that:
  • First class: Five Gaussian functions can be fitted
  • Second class: Two Gaussian functions can be fitted
  • Third class: Non of the above.
Is there any measure that could say: for each sample, "how well 5 Gaussian functions can be fitted" and "how well 2 Gaussian functions can be fitted"? Then, I can use these measures to classify my data?
Please let me know if you think of a better solution for this problem.
Thank you!

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