00:01
Let's answer to a.
00:04
It's asking for constructing a frequency distribution, including class limits and class frequencies and midpoints and cumulative frequencies.
00:11
Okay, so this over here, according to the question here, so it's given class boundaries, okay? so whenever you're getting class boundaries out of class limits, okay? you, did you, maybe you forgot about this, lower limit, minus point five, and the upper limit plus point five.
00:34
So we're going to be backtracking this.
00:36
Okay, so what that mean is the first, the class boundary over here, 21 .5 to 24 .5, you're going to be, let me use a red pen.
00:48
We're going to be adding back, okay? all right.
00:52
And 24 .5, we're going to be subtract 0 .5 back.
00:57
Okay.
00:57
Then we can get what? our class limits.
01:00
Okay.
01:01
So you're going to be doing these and that and that and that and that and that and that.
01:05
Okay.
01:05
So let's try to do it.
01:07
So here, let me finish this up.
01:08
So this is 22 to 24, right? okay.
01:12
And next one is 24 .5 plus 0 .2 to 27 .5 minus 0 .5.
01:20
And this will be 25 to 27.
01:24
Okay? we have an interval of 2, right? next one is 27 .5 plus 0 .5 to 30 .5 minus 5.
01:35
0 .5.
01:36
And this will be giving us 28 to 30.
01:45
Next one here, 30 .5 plus 0 .5 and 2, 33 .5 minus 0.
01:56
So this will be giving us 31 to 32.
02:00
I'm sorry.
02:01
So 31 to 33.
02:04
Let me erase this and let me rewrite this.
02:07
31 to 33.
02:08
Okay.
02:09
So these are the class and limits.
02:10
And let's keep going.
02:13
And plus 0 .5 and all the way through 36 .5, and we're going to be subtracting 0 .5 over here.
02:20
This is not a subtraction sign over here.
02:22
This is from here to here, from here to here, from here to here, okay? okay, so this is going to be equal to what, 34 to 36.
02:30
Now you guys get a pattern, right? yeah.
02:32
So here, let me just complete this, okay? we don't really have to repeat, right, repeatedly.
02:36
Okay, so the next one will be 37 to 39, right? and next one will be 40 to 42.
02:42
2.
02:43
Okay? all right.
02:44
So we have a here.
02:46
We have all these information.
02:48
Okay.
02:48
And the frequency is given it so it's easy.
02:50
Okay.
02:51
So let's write that down.
02:52
Okay.
02:52
And we can also find a midpoint easily, right, out of this.
02:55
So let's construct the distribution.
02:57
Frequency distribution.
02:59
So the first one, 22 to 24.
03:04
Okay.
03:06
So this will be our class limits.
03:15
So 22 to 24.
03:17
We have 25 to 27, 28 to 30, 31 to 33, and 34 to 36, and 37, to 39, 40 to 42.
03:35
Okay, and let's write down the midpoint out of this first.
03:44
So midpoint, add those two, okay, and the by 2, isn't it, right? so there will be 46, the bar, 2, 23.
03:52
52, deba, 2, 26.
03:57
So that was 28.
03:58
58 to above about 2, 29.
04:01
So it looks like what? keep adding 3, right? 32, 35, 38, and 41.
04:07
Okay? all right.
04:08
We're almost done.
04:09
Class frequency.
04:13
You can use the data directly from the frequency history.
04:18
Okay? all right...