Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
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Exercise 3 Page 627

Which measures of center and variation should we use when the distribution of the data is skewed?

Distribution: Skewed left
Measures: Use the median to describe the center and the five-number summary to describe the variation.

Practice makes perfect
Consider the given histogram.
Histogram

We are asked to describe the distribution of the data and determine which measures of center and variation best represent the data. Since most of the data are on the right and the tail of the graph extends to the left, the distribution is skewed left. Therefore, we should use the median to describe the center and the five-number summary to describe the variation.