I have a mean and its corresponding standard deviation from a skewed distribution. The original data, which I don't have, is on a likert scale from 1 to 7. And the mean I have is between 2 and 3.

Now I need to simulate the data based on only these two parameters. If I simulate a set of data assuming normal distribution I'll get negetive values which don't make sense. I suppose I can assume my data to be log-nomally distributed, or maybe even negative binomial or something? But I don't know how to translate my two parameters.

Does anyone know a way to use only mean and std to simulate a skewed distribution?

Please advise. Your help will be greatly appreciated.

btw, I don't need my simulated data to be intergers as if from a likert scale, continuous ones are fine.

Thanks for your help.

Now I need to simulate the data based on only these two parameters. If I simulate a set of data assuming normal distribution I'll get negetive values which don't make sense. I suppose I can assume my data to be log-nomally distributed, or maybe even negative binomial or something? But I don't know how to translate my two parameters.

Does anyone know a way to use only mean and std to simulate a skewed distribution?

Please advise. Your help will be greatly appreciated.

btw, I don't need my simulated data to be intergers as if from a likert scale, continuous ones are fine.

Thanks for your help.

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