00:01
So the values listed are the playing times in seconds of songs that were popular at the time of the writing.
00:08
And we want to determine the mean.
00:14
And to calculate mean, we sum up all of the data and divide by how many pieces of data there are.
00:20
And if we add up this data, we will get 4 ,179, divided by the fact that there were 16 pieces of data, gets us a mean of 266 .6 .5 .5 .5.
00:32
161 .1875 and your directions were very clear to round to one decimal place.
00:40
So we would say 261 .2 seconds.
00:48
Part b is to calculate the median.
00:53
And before we can calculate the median, we need to rearrange our data in order from smallest to largest.
01:00
So our smallest piece of data here is 214, and it appears twice, then 225, then 229, then 24, 24, 25, then 247, then 247, then 250 twice, then 25, 270, 2152, 261, 62, 264, 280, 298, and then 444.
02:17
Now the page that you sent was a little bit blurry, so please make sure that the numbers are accurate in this data, but the process of finding the mean and the median is not going to change.
02:31
So our median is going to be our middle number, and since there are 16 pieces of data, the middle will be between two.
02:41
So therefore, because there are two numbers in the middle, we will average them together.
02:46
So 250 plus 250 divided by 2 is still 250.
02:54
Because your direction says round to one decimal place, we'll say 250 .0 seconds as your median.
03:03
In part c, is there one time that is very different from the others? so that's a way of talking about outliers.
03:15
And in order to talk about outliers, we want to talk about the quartiles.
03:21
So to find quartile one, it's going to be the median of the lower half of the data.
03:33
So here's our lower half, the middle of that, would be right here.
03:42
This way there's four before it and four after it in the half of the data...