1. Density Curves and the Normal Distributions
Section 2.1

2. Density Curve Describes the overall pattern of a distribution.
Always on or above horizontal axis.
Has area of exactly 1 underneath.

3. Median
The median of a density curve is the equal areas point

4. Mean
The mean of a density curve is the balance point

5. Mean and Median Equivalent for a symmetric curve.
The mean of a skewed curve is pulled away from the median in the direction of the long tail.

6. Normal Distributions Symmetric, single-peaked, and bell-shaped
The inflection points of a normal distribution are located one standard deviation from the mean

7. Rule
Empirical Rule
In the normal distribution, 68% of the observations fall within one standard deviation, 95% of the observations fall within two standard deviations, 99.7% of the observations fall within three standard deviations.

8. Practice Problems
pg. 83 #
pg. 89 #
pg. 90 #