lecture3_6slides - Statistics 528 Lecture 3 Section 1.1/1.2...

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Statistics 528 - Lecture 3 1 Statistics 528 - Lecture 3 Prof. Kate Calder 1 Section 1.1/1.2 Graphical and Numerical Summaries of Data Shape of a Distribution Modes Symmetric vs. Skewed Outliers Measures of the Center mean median Measures of Spread IQR standard deviation Choosing Summaries of Distributions Changing the Units of Measurement Statistics 528 - Lecture 3 Prof. Kate Calder 2 Modes Question: Does the distribution have one or several major peaks? Look at histograms and stemplots. A distribution with one major peak is called unimodal . A distribution with two major peaks is called bimodal . Example of a bimodal distribution: scores on an exam Statistics 528 - Lecture 3 Prof. Kate Calder 3 Symmetric vs. Skewed A distribution is symmetric if the values larger or smaller than the midpoint are mirror images of each other. A distribution is skewed to the right if the right tail (larger values) is much longer than the left tail (smaller values). A distribution is skewed to the left if the left tail (smaller values) is much longer than the right tail (larger values). Statistics 528 - Lecture 3 Prof. Kate Calder 4 Left Skewed Symmetric Right Skewed Statistics 528 - Lecture 3 Prof. Kate Calder 5 Statistics 528 - Lecture 3 Prof. Kate Calder 6 Outliers Outliers – values that fall outside the overall pattern and are far from the bulk of the data Can be a result of natural variation.
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