00:01
Hey there, welcome to numerate.
00:03
We're giving a data set over here with values up to 88, 5 to 88, and we're asked to find the first quartile, the median and the 84th percentile.
00:18
So let's say we're doing number 43 first, so let's hop into it.
00:22
Number 43 compute the first quartile to two decimal places.
00:28
So the equation what we're going to use here is quartile 1 to first quartile equals 1 fourth that will be the portal times n plus 1 in the term okay so this will be the quartile value okay so with this we're going to simplify this so quartile 1 equals 1 fourth times so n plus 1 what is n so we had to calculate how many values we have here so let's actually count our values here so you have that c3 k so we will get a sample sample size of two three 10 so 20 21 21 22 22 23 24 25 26 so there's been 26 plus 1 turn and let's simplify this into decimal form so we would be 20 27 divided 4, it should be around 7.
02:15
It goes 6 .75 term, which correlates to a value for quartile 1 of 17.
02:29
So if you organize your list of data from least to greatest and count to between the 6th and 7 term, you will get a value of 17.
02:40
Okay, so great great job so our value here would be 17 for our quartile one but it says to round to two decimal places so we just put zero zero okay, that's number 44 44 asks let's see median complete the median so median is similar to quartile two same thing it's synonymous so we can instead of one of fourth we're going to going to do one half.
03:16
So this is going to be 27.
03:18
Term.
03:23
We're going to simplify this quartile two into 27 divided two, 13 .5.
03:38
And this term, so if you go to the 13th and 14th value organized from least to greatest, it's going to be somewhere in between, and that value would be around 33.
03:55
33 is our median.
03:58
Okay...
