Chap_4 - Chapter 4 Describing Data: Displaying and...

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Chapter 4 Describing Data: Displaying and Exploring Data
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After completing this chapter, you should be able to: Compute and interpret percentiles, deciles and quartiles Compute and understand the coefficient of skewness Construct and interpret box plots Use the empirical to describe the shape of data sets Chapter Goals
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Chapter Topics Shape of a distribution Other measures of Location Percentiles, quartiles Box plot Skewness
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Shape of a Distribution Describes how data is distributed Symmetric or skewed Mean = Median = Mode Mean < Median < Mode Mode < Median < Mean Right-Skewed Left-Skewed Symmetric (Longer tail extends to left) (Longer tail extends to right)
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Other Location Measures Other Measures of Location Percentiles Quartiles 1 st quartile = 25 th percentile 2 nd quartile = 50 th percentile = median 3 rd quartile = 75 th percentile The p th percentile in a data array: p% are less than or equal to this value (100 – p)% are greater than or equal to this value (where 0 ≤ p ≤ 100)
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Chap_4 - Chapter 4 Describing Data: Displaying and...

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