Nicotine content was measured in a random sample of 40...

Nicotine content was measured in a random sample of 40 cigarettes. The data are displayed in Table 1.1. Table 1.8: Nicotine Data 1.5 1.09 1.92 2.31 1.79 2.28 1.74 1.47 1.97 0.85 1.24 1.58 2.03 1.70 2.17 2.55 2.11 1.86 1.90 1.68 1.51 1.64 0.72 1.69 1.85 1.82 1.79 2.46 1.88 2.08 1.67 1.37 1.93 1.40 2.09 1.75 1.63 2.37 1.75 1.69 1. Summary the Nicotine data using frequency distribution table, include on the table the midpoint, frequency, relative frequency, cumulative frequency. 2. Construct a stem and leaf plot 3. Graphical diagnostic of the data Histogram Polygon Ogive

Transcript

00:01 So you want to make on number one, you want to use a frequency distribution table.

00:05 And so what i'm going to do for the frequency distribution is i'm going to start at 0 .7 and go up by 0 .4.

00:12 So that will take that up to 1 .1, 1 .5, 1 .9, let's see, 2 .3.

00:21 And our highest value, we need to go up to 2 .5.

00:25 So i think 2 .7 would be our last one.

00:29 So this is going to go, it's up to but not including that 1 .1 .1.

00:37 And so you can write that however you need to 1 .9.

00:41 And i'm including the left end point, but not the right end point.

00:44 And so this is going up to 2 .3, up to 2 .7.

00:47 And this would go up to adding on 4 .3 .1.

00:51 Now the frequency here, i'm going to count.

00:54 In this class, i have 1, 2, 3.

00:57 Three.

00:59 In this class i have, i need to go up to 1 .5, 1, 2, 3, 4.

01:06 So i have 4 in this class.

01:08 In this class i have 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 19, 19, i have 19 in this class.

01:32 I have one, two, three, four, five, six, seven, eight, nine, ten in this class.

01:46 I have one, two, three, four.

01:51 I have four in this class.

01:53 So i did not need this last class.

01:58 And this is supposed to total up to 40, and let's just double check and make sure i haven't missed any.

02:03 So we have up to here that's 29.

02:07 29 plus that is going to be 33 and 33 plus 7 does give me a total of 40.

02:14 And so then you need to also find your relative frequency and relative frequency.

02:20 I'm just going to put 3 over 40, 4 over 40.

02:23 You can find them as decimals.

02:26 19 over 40, 10 over 40, 4 over 40.

02:31 And then it says the cumulative frequency.

02:37 Now i don't know whether you want the cumulative.

02:39 I'm going to give the regular cumulative frequency.

02:42 Cumulative frequency is 3 plus 4 is 7, plus 19 is 26, 36, and this is 40.

02:50 Now if you want the cumulative relative frequency, we would be dividing all these by 40.

02:57 Midpoints, i won't list down, but the midpoint is going to be in the middle...

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