1. Given the following data
82, 94, 81, 93, 80, 100, 97, 102, 80, 80, 81 Find the mean, median, and the mode. Sketch a box and whisker plot Create a frequency table with width size of 5 starting at Then find the angles to represent each width.

2. Normal Distributions and the Empirical Rule
OBJECTIVE: Use the empirical rule ( rule) to analyze data
Page 11

3. Data that is normally distributed
ACT or SAT Scores
Height
IQ scores
Biological measures

4. Normal Distribution
Normal Distribution is a type of frequency distribution graph.
The graph of a Normal Distribution is called a statistic distribution curve or more commonly referred to as a bell curve. .

5. Properties of the Normal Distribution
Mean, median, & mode are the same
The data is symmetric about the mean
Area under the curve equals 1 or 100%.
Curve never goes below the x-axs
Standard deviation σ controls the spread of the curve.

6. Limits to the mean and standard deviation
The mean ranges between 1 and infinity
The standard deviation must be positive

7. The Empirical rule (68-95-99.7 rule)
In the normal dist. with mean μ and standard deviation σ.
50% of the observations fall below the mean.
50% of the observations fall above the mean.

8. The Empirical rule (68-95-99.7 rule)
In the normal dist. with mean μ and standard deviation σ.
68% of the observations fall within of the mean.
95% of the observations fall within of the mean.
99.7% of the observations fall within of the mean. 1σ 2σ 3σ

9. Behold the normal curve
68%
34%
34%
0.15%
95%
0.15%
13.5%
13.5%
2.35%
2.35%
99.7%

10. Let’s Practice (p. 12)

15. Classwork & Homework
Classwork – get with your project partner and decide on a topic for your project and a time to complete the survey.
Homework – page 13 in your packet