STAT 100 Chapter 13: Chapter 13 STATS.docx

• School: Simon Fraser University
• Department: Statistics
• Course: STAT 100
• Professor: Derek Bingham

Document Summary

Most histograms show the counts of observations in each class by the heights of their bars and therefore by the areas of the bars. We now set up curves to show the proportion of observations in any region by areas under the curve. To do that , we choose the scale so that the total area under the curve is exactly 1. The density curve is intended to reflect the idealized shape of the population distribution. Density curves are smoothed-out idealized pictures of the overall shapes of distributions, they are most useful for describing large numbers of observations. The center and spread of a density curve. Areas under a density curve represent proportions of the total number of observations. So the median of a density curve is the equal-areas point, the point with half of the area under the curve to its left and the remaining half of the area to the right.