September 23 Lecture

# September 23 Lecture - Lecture Graphical Techniques In...

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Lecture September 23, 2011

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Graphical Techniques In addition to numeric techniques, we have graphical techniques that can be used to analyze data. These graphical techniques include line plots, boxplots, dot plots, histograms, stem and leaf plots, etc…
Dotplots Each data value is plotted and replaced by a point. Hence the dataset 1,2,3 would look like: 1 2 3

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Dotplots with Repeats For a single set of data we may be interested in the repeats. In such a case we may draw a dot for every repeat. Eg. 1,1,2,3 1 2 3
Example Dataset Consider the following data: 1,2,2,3,3,3,4,4,4,4,5,5,5,6,6,7 Go ahead and construct a dot plot (next slide).

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1,2,2,3,3,3,4,4,4,4,5,5,5,6,6,7
Boxplots

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Unmodified Boxplot Min Q1 Q2 Q3 Max IQR=Q3-Q1 Range = Max - Min
Recall: Outliers Outliers : Data values that are more extreme (larger or smaller) than the others. Ex: 1,1,2,2,3,3,4,4,5,5,6,6,25 • Is there an algorithm / formula that can be used to identify suspected outliers? •Y e s ! !

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What is an outlier mathematically? Obviously from the data above the number 25 is suspect.
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September 23 Lecture - Lecture Graphical Techniques In...

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