# How can I determine if values are 'significantly' similar / close?

I have an experimental value and I want to find out which of the theoretical values are 'significantly' close to the experimental value.

Say for example my experimental value is:

3000


and my theoretical values are:

2500,3005,3300,2750,2900,3100,2995,3000,3010,3150,2850


How would I find out which of my theoretical values are 'significantly' close to my experimental values. I was assuming I could calculate this using standard deviation but I would have to calculate the mean, but my mean isn't necessarily going to be at my experimental value.

What process/statistical test would be best appropriate to find the values significantly close to my experimental value?

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