Other distributions will look similar in their general features. In general, if you do The Experiment, 95% of the times you will get a result between 40 and 60 heads, out of the 100 tosses.
We have generated the distribution of values for the possible outcomes of "The Experiment"
One possible distribution previously obtained looks like
Other distributions will look similar in their general features. In general, if you do The Experiment, 95% of the times you will get a result between 40 and 60 heads, out of the 100 tosses.
Conclusion:
When you do The Experiment you can expect that 95% of the time, you will get between 40 and 60 heads. To rephrase, you expect that the range will be between 50 - 10 (=40) and 50 + 10 (=60). 10 is the deviation in each direction from the expected average of 50, is the error in the experiment. This is also denoted 50 ± 10.
The error - 10 in this case - is "at the 95% confidence level". 95% of the time you do The Experiment you will get a result in this range. Alternatively, 5% of the time (1 in every 20 tries on average) you will get a result outside this range!