00:01
For this problem, we are told that the number of shareholders for a selected group of large companies in thousands are shown below.
00:07
In part, or we're told that the numbers of shareholders are to be organized into a frequency distribution in several graphs drawn to portray the distribution.
00:16
In part a, we are asked to use seven, or two, using seven classes and a lower limit of 130, construct a frequency distribution.
00:24
So if we have seven classes, we have k equals 7, we'd want to figure out what our ideal interval will be.
00:32
So that would be h minus l divided by 7.
00:36
Or excuse me, it would be greater than or equal to h minus l divided by 7.
00:41
And in this case, we have that our highest value is 266.
00:47
The lowest value is 130.
00:49
And then we are dividing that by 7.
00:51
I'll calculate that off screen here briefly.
00:55
So we have 266 minus 130 over 7 gives a result of 19 .43.
01:04
So let's set our class interval to be equal to 20.
01:08
Using that then, we'll find that our frequency distribution will be class count.
01:14
Then we have 130 to 149 with a count of 4, 150 to 169 with the count of 9.
01:21
170 to 189 with the count of 4, 190 to 209 with a count of 7, 210 to, let me fix that here, 210 to 229 with a count of 3, 230 to 249 with the count of 2, and 250 to 269 with the count of 4.
01:42
In part b, we are asked to portray the distribution using a frequency polygon.
01:47
All right, so shown here is our frequency polygon, though i will note that with the way that my tool has generated this, we can see that we are not starting at a y value of 2.
02:00
If you're making yours by hand or some other tool, you may choose to have the y axis start at 2, or excuse me, at 0 rather than starting at 2 as i have here.
02:10
In part c, we are asked to portray the distribution in a cumulative frequency polygon.
02:18
All right, so shown here is the cumulative frequency polygon corresponding to the dataset.
02:25
I'll scale it down a little bit, so everything lines up a little bit more nicely.
02:30
There we go...