lecture 3 (part I) - STT 421 Lecture 3(Part I Material...

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STT 421 Lecture 3 (Part I) Material Covered in This Lecture: * Chapter 1, Section 1.3: Density Curves and Normal Distribution. * Minitab Demonstration 1 1. Density Curve 2 0 Histogram can be used to show the overall pattern of the distribution of a data set. 1 2 A modified histogram: Height of interval = Relative Frequency / Length of Interval 1 2 One way to think of a density curve is as a smooth approximation to the outlines of the modified histogram.
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Remark: The histogram of a sample reflects the overall pattern or the distribution of the sample. If the sample size is large enough, the histogram will tell us some information about the distribution of the population from which the sample is taken. 1 2 Median and mean of a density curve Symmetric density curve: Mean = Median;
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Skewed to the left: Mean < Median; Skewed to the right: Mean > Median;
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1 2. Normal Distribution 1 The density curve of a normal distribution is symmetric, unimodal, bell-shaped.
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