# Real data collection with small population

I performed an actual scientific experiment and I was only able to collect 2 data points. I am wondering what kind of statistical method I can use to analyze the data.

I performed a similar experiment before where I was able to collect 4 data points. I calculated the mean, the standard deviation of the population and a confidence interval for this population of N = 4. Could I also calculate the same things for a population of N = 2 ?

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Well, sample mean and sample variance are well-defined for a sample of size $2$. But it would help if you describe a little bit more the context. – user10525 May 24 '12 at 18:03

In this analysis it is unclear what you are assuming to be known about the population and what you are assuming the sample results are. This creates great potential for the argument to be misunderstood. I can follow for a while, being familiar with the ideas, but I'm afraid you lost even me with the $[-14,20]$ interval, whose width is twice the value of $16.97$ you had just claimed for it... – whuber May 24 '12 at 21:03