Question: I had a data set from which i took 5 random samples of 1000, then took a confidence interval for each. They are all very

I had a data set from which i took 5 random samples of 1000, then took a confidence interval for each. They are all very similar but have slight difference of no larger then 2 for all the lower bounds and 2.5 for the upper bounds. Why are these intervals different but all so similar?

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