00:01
So this data shows wind speeds in miles per hour recorded in 40 different states, and we are trying to construct a frequency distribution using seven classes.
00:12
So we want seven classes.
00:17
And in order to construct a frequency distribution, the first thing we need to determine is our class width.
00:24
And to find our class with, we're going to find the maximum piece of data.
00:28
We're going to subtract the minimum piece of data, and we're going to divide it by the number of classes.
00:35
So i've highlighted the maximum and minimum values.
00:40
So we'll take 93 minus 48, and we will divide by the fact that we want seven classes, which will lead us to six and three -sevenths, and you always round up.
00:56
So when we round up, we are going to have a class width of seven.
01:03
So to start your frequency distribution, we will start with the lowest number, which is 48, and we want seven numbers in that class.
01:17
So if you think in terms of counting up, we'd have 48, 49, 50, 51, 52, 53, and 54 in that class.
01:32
So that means the next class is going to have to start at 55.
01:39
And this first class is going to end at 54.
01:43
So if you haven't recognized a pattern yet, then really what we're doing is we're taking that class width and we're adding down.
01:52
So if i add the class with again, the next class will start at 62.
01:58
And if i add seven to that, the next class will start at 69.
02:08
And if i add the class width to that, the next class will start at 76, and then 83, and then 90.
02:17
So now we have the beginning of seven classes.
02:21
Now, if the third class starts at 62, then the second class has to end at 61.
02:29
And with the next one, if the fourth class starts at 69, the third class ends at 68.
02:36
And if the next class starts at 76, this class ends at 75.
02:43
If the next class starts at 83, then this class has to end at 82.
02:49
And if the next class starts at 90, then this class would have to end at 89.
02:55
And i can do one of two things to figure out where the next one.
02:59
One ends, i can count up seven numbers, or i can add that class with and get the fact that we would start a next class if we needed it at 97, so therefore this one would have to end at 96...