Measures of Central Location
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Measures of Central Location
Section 2.2 elaborates on mean, median, and mode at the population and sample levels. This section contains many interesting examples and exercises. Section 2.3 uses many examples to discuss range, variance, and standard deviation. Complete the odd-numbered problems in the exercise sets for each section before checking the answers.
This section could be titled "three kinds of averages of a data set". Any kind of "average" is meant to be an answer to the question "Where do the data center?" It is thus a measure of the central location of the data set. We will see that the nature of the data set, as indicated by a relative frequency histogram, will determine what constitutes a good answer. Different shapes of the histogram call for different measures of central location.
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