Introduction to Statistics: Difference between revisions

Line 97: Line 97:
It's usually possible to represent the outcome of experiments in terms of a representation involving integers or real numbers.  For instance, in the case of flipping a coin, it becomes a little cumbersome to record the outcomes of multiple experiments.  Let's say we flip a coin four times, and repeat this experiment twice.  We might have gotten the following outcomes from the two experiments.<br>
It's usually possible to represent the outcome of experiments in terms of a representation involving integers or real numbers.  For instance, in the case of flipping a coin, it becomes a little cumbersome to record the outcomes of multiple experiments.  Let's say we flip a coin four times, and repeat this experiment twice.  We might have gotten the following outcomes from the two experiments.<br>
<math>\{HHTH\}</math> and <math>\{TTHH\}</math><br>
<math>\{HHTH\}</math> and <math>\{TTHH\}</math><br>
But if we're only really interested in the number of times that the coin turns up heads in four flips, we can assign an integer value of 0 to Tails and 1 to Heads.  Adding the the values together for each experiment gives us what we were after in the first place.