![Page 1: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/1.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Fitting to a Normal Distribution
Holt Algebra 2
Warm UpWarm Up
Lesson PresentationLesson Presentation
Lesson QuizLesson Quiz
Holt McDougal Algebra 2
![Page 2: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/2.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Warm Up
Find the mean and standard deviation of each data set.
1. {2, 10, 5, 3}
2. {30, 30, 60}
3. {2, 2, 2, 2,2}
4. Determine which data set has the greater standard deviation without calculating it. Explain.
Set A: {73, 120, 54, 81, 66}Set B: {83, 95, 106, 99, 82}.
![Page 3: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/3.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Use tables to estimate areas under normal curves. Recognize data sets that are not normal.
Objectives
standard normal value
Vocabulary
![Page 4: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/4.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
![Page 5: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/5.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Example 1: Finding Joint and Marginal Relative Frequencies
Jamie can drive her car an average of 432 gallons per tank of gas, with a standard deviation of 36 miles. Use the graph to estimate the probability that Jamie will be able to drive more than 450 miles on her next tank of gas.
![Page 6: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/6.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Example 1 : Continued
![Page 7: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/7.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Check It Out! Example 1
estimate the probability that Jamie will be able to drive less than 400 miles on her next tank of gas?
![Page 8: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/8.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Example 2: Using Standard Normal Values
A. Estimate the probability that a randomly selected student scored less than 148.
Scores on a test are normally distributed with a mean of 160 and a standard deviation of 12.
![Page 9: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/9.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Example 2: Continued
B. Estimate the probability that a randomly selected student scored between 154 and 184.
![Page 10: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/10.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Check It Out! Example 2
Scores on a test are normally distributed with a mean of 142 and a standard deviation of 18. Estimate the probability of scoring above 106.
![Page 11: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/11.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Example 3: Determining Whether Data May Be Normally Distributed
The lengths of the 20 snakes at a zoo, in inches, are shown in the table. The mean is 34.1 inches and the standard deviation is 10.5 inches. Does the data appear to be normally distributed?
![Page 12: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/12.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Z AreaBelow
z
X Values Below z
Proj. Act.
-2
-1
0
1
2
Example 3: Continued
![Page 13: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/13.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution
Z AreaBelow
z
X Values Below z
Proj. Act.
-2 0.02 0
-1 0.16 3
0 0.5 10
1 0.84 17
2 0.98 20
Example 3: Continued
![Page 14: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/14.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Check It Out! Example 3
A random sample of salaries at a company is shown. If the mean is $37,000 and the standard deviation is $16,000, does the data appear to be normally distributed?
![Page 15: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/15.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Lesson Quiz: Part I
Scores on a test are normally distributed with a mean of 200 and a standard deviation of 12. Find each probability.
1. A randomly selected student scored less than 218.
2. A randomly selected student scored between 182 and 200.
3. A randomly selected student scored between 182 and 188.
![Page 16: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/16.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Lesson Quiz: Part II
4. A randomly selected student scored above 224.
5. The weights, in grams, of 30 randomly chosen apples from a large bin are shown below. The mean weight is 110 grams and the standard deviation is 5.5 grams. Does the data appear to be normally distributed?
![Page 17: Holt McDougal Algebra 2 Fitting to a Normal Distribution Holt Algebra 2 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz Lesson Quiz](https://reader036.vdocuments.us/reader036/viewer/2022081508/56649d765503460f94a57879/html5/thumbnails/17.jpg)
Holt McDougal Algebra 2
Fitting to a Normal Distribution Lesson Quiz: Part III