00:01
So for this problem, to begin, we know that the median value will be found at location one -half of n plus one.
00:17
We know that our sample size is 10, so this would be one -half of 11, or that would be found at location 5 .5.
00:24
So then that suggests that this will be found midway between the fifth and sixth values, assuming that the data is sorted, which that does appear to be the case here.
00:35
So looking at our values, i'm just going to count these off -scroup.
00:37
Here, one, two, three, four, five, six.
00:42
So we would have that it's midway between, i believe that's 357 and 369.
00:48
So one second here, 357 plus 369 divided by two, would give us the median is equal to 363.
00:59
So, all right, so i've put the data on screen here just to make the idea a little bit clearer.
01:04
So we're told that we changed the number 275 to one.
01:09
Whereas how does the median change? well, the median, it's still found at location 5 .5, so it's still found midway between the fifth and sixth values.
01:19
So we can see that changing what the first value is, that doesn't change the fifth or sixth value...