How can I check how good a data is distributed.

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Hi, I am doing some prediction and sometimes I have a good Y values well distributed along the prediction curve and sometimes I have only 2 extreme values or ever a lot of values in the beggining of the curve and a few in the end.
The plot below shows some Y values for the prediciton curve. In other words this shows the histogram of my data.
How can I check how good they are distributed. i.ie not having only 2 values values or few values in extreme postions.
Is there a mathematical function that checks how good your data is distributed? For me do not matter if it is normal skewed or uniform distributed. What matter is that I have a good dispersion of the values.
Thank you.
Kind regards
Rafael

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