Maybe it's a simple question but I have not any idea for that at the moment!
How we can calculate average value for N samples with having only the minimum and maximum values?
$\endgroup$2 Answers
$\begingroup$You can't. Compare with $0,1,8$ and $0,7,8$.
In fact, the average can be anywhere in
$$\left[\frac{(n-1)\min+\max}n,\frac{\min+(n-1)\max}n\right],$$
and if the distribution is skewed, the average of the minimum and maximum will be biased.
$\endgroup$ $\begingroup$In general, you can't. If you have two samples of numbers, let's say $$\{0,2,3,1,1,1,8\}\quad \text{and} \quad \{0,7,7,6,4,8,8\}$$the average of these samples will be different, but they have the same maximum and minimum values. If you're only given the maximum and minimum, you could make a guess that the average is $\frac{\text{max}+\text{min}}{2}$, but it's probably not a good guess.
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