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
Big image

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
Big image
Big image

z scores

Big image