
After sorting our 27 data values, how do we know that the median was the 14th

value besides by simply counting? Is there a way we can describe the median

value in symbols? Let's start first by going over some symbolic notation that

we briefly mentioned earlier. Remember that these are the rankings, these are

not the actual data values, but we can denote the actual value in terms of its

rank. So, the value in the first rank would be X sub 1, then X sub 2 for the

second rank. X sub 3 for the third, and in the case of Udasiyans Facebook

friends, X sub 14 is the median. And remember that any value we can generically

denote X sub i where X sub i is the ith value. Yes, we do say ith. So what

about for any data set with n values? The median will be different depending on

whether or not n is even or odd. Now, this is going to be a really tricky quiz.

Which formulas describe the median after sorting the data? There's only one

answer for n even and one answer for n odd. Now, really quick, this might look

daunting, but just remember that this subscript part corresponds to the rank.

So, for example, say there are four values in the data set, n divided by 2

means 4 divided by 2 which is 2. So this would mean X sub 2, which is the

second value might be the median if n is 4. I'm not saying that's right, I'm

just giving you an example. So give this your best short. And again, this

should really help get you used to using symbols.