What How is the area under a non-bell-curve related to standard deviation, median and mean?
• Describe how the median and mean are related to the area under the curve for any density curve (p.82). • Median: the equal area point • Mean: the balance point (directly under the center of mass if the distribution were cut out of a piece of plywood) • Estimate the median, quartiles, and probabilities for any distribution by estimating the area under the curve: • Be as one with the 0-75-89 Rule for any distribution. Note: this is the worst case situation for any distr. It gives an indication of how big the error would be in calculating areas if a distribution is incorrectly identified as a normal distribution. Chebyshev’s Rule: p = (1 – 1/k2) Homefun: prob. 2.3, 2.7, 2.
