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MTH 225 GVSU Ch 2 Measures of Dispersion Descriptive Statistics Notes

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MTH 225 Chapter 2: Descriptive Statistics 2.3.1 Measures of Dispersion Ways we can describe a data set (1) Measure of center - What does a typical data value look like? (2) Measure of spread - How far away from typical is typical? (3) Shape - Where is the data grouped? Are there more high values? More low ones? Are they evenly spread? Example 1: Suppose that Kyle teaches two different sections of MTH165. On a recent exam a random sample of students from each class had the following scores. Class 1: {120, 101, 132, 85, 112} Class 2: {109, 110, 111, 110, 110} a) Calculate the average test score for each class sample. 550  110 5 550 x2   110 5 x1  b) Besides the average test score, what else might we be able to observe about the different data sets that would help us to distinguish them? We can notice that the data from Class 2 appears to have scores that are closer to being the same value, while the scores from Class 1 appear to be more spread out. Measures of Spread (Dispersion): There are 4 measures of dispersion that we will discuss: 1) Range 2) IQR 3) Standard Deviation 4) Variance Computing and using the Range and Quartiles Definitions: - Range- the diffe ...
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