First off, let me say that I'm extremely poorly versed in statistics, and this is a question purely about terminology.
I have a distribution for some quantity (height of person, say) and the most likely 95% of outcomes are within some range $h_0$ to $h_1$. I want to know what to call (ideally a 2 or 3 word phrase) this range. It is not the case that the distribution is normal, though we can safely assume that it is unimodal.
Let's say I have a coin, which I think is biased for heads with $p_h=0.6$. Now I toss it $n$ times and I get $a$ heads. I want to write a sentence which basically states that the result is in some 95% "likelihood region", (something like "middle 95 percentile" seems a little clunky, if not ambiguous --- I'm not taking a region about some median!). Now, it might be that my $p_h$ is actually a prediction based on some data, and I have some uncertainties in it, but I don't want to include those uncertainties! I want a term that refers to the fact that because I didn't toss the coin an infinite number of times, there is some variance in the ratio $a/n$.