# Jordan Schexnayder

### 6.1 and 6.2

## Properties of a Normal Curve

- The curve is bell-shaped, with the highest point over the mean m
- The curve is symmetrical about a vertical line through m
- The curve approaches the horizontal axis but never touches or crosses it
- The inflection (transition) points between cupping upward and downward occur above m + o and m - o
- The area under the entire curve is 1

## Mu and Theta

The highest point on a normal curve is the Mu. The Theta is the difference between the Mu and first number after the Mu. Mu is the mean and Theta is the standard deviation.

## Empirical Rule

- Approximately 68% of the data values will lie within 1 standard deviation on each side of the mean
- Approximately 95% of the data values will lie within 2 standard deviations on each side of the mean
- Approximately 99.7% (or almost all) of the data values will lie within 3 standard deviations on each side of the mean