00:01
This poem says the number of trading cards owned by 10 middle school students are given below.
00:05
Note that these are already in order from least to greatest, and the question we're asked is to suppose that the number 309 from this list changes to 389, and answer the following of what happens to the mean and what happens to the median when this value changes.
00:19
So to figure this out, we're first going to figure out what the mean and median are originally.
00:24
So when we want to find the mean or the average, we take the sum of all of our values and then divide by the number of observations we have, and we were told that these were 10 middle school students, so we'll find our sum and then divide by 10.
00:37
Our sum when we add up all of our values would be 5090, still divided by 10, and when we divide by 10, that gives us our average of 509, and again that's our mean or average currently.
00:50
For our median, since we have 10 observations, our median won't be just one value in between, it will be the average of two numbers in between because we have an even number of observations, and the two numbers that are in the middle of our data are 498 and 525.
01:07
So to find the median, we will take the sum of those two values and cut it in half or divide by two to find the average between those two values for the median...