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# Statistical measures box plots

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### Statistical measures box plots

1. 1. Statistical Measures<br />Box-and-Whisker Plot<br />5-Number Summary<br />Interquartile Range<br />
2. 2. We have looked at …<br />Mean<br />Median<br />Mode<br />They identify the center<br />They represent the typical value<br />They are a one-number summary<br />
3. 3. It’s not enough to know the middle<br />“A statistician is the only one who can have his head in the freezer and his feet in burning coals and say that on average he feels fine.”<br /> Anonymous<br />
4. 4. Box-and-Whisker Plot<br />A box-and-whisker plot gives a graphic presentation of data using five measures: <br />The median<br />The first and third quartiles<br />The smallest and largest values<br />It can help us visualize both the center and the spread of a data set<br />
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6. 6. The 5-Number Summary<br />Min: The smallest value in the data set<br />Q1: The cutoff point for the lowest 25% of the data set (median of the lower half)<br />Median: Separates the lower and upper halves of the data set<br />Q3: The cutoff point for the upper 25% of the data set (median of the upper half)<br />Max: The largest value in the data set<br />
7. 7. Finding the 5-Number Summary<br />Find the five number summary for the following average number of vacation days in selected countries. (Source: World Tourism Organization)<br />With an odd-number of data elements<br />
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24. 24. Finding the 5-Number Summary<br />Shown here is the number of new theater productions that appeared on Broadway for the past several years (Source: League of American Theaters and Producers, Inc.)<br />With an even-number of data elements<br />
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32. 32. Wrapping It Up<br />Consider the following cities:<br />Which cities have more variation in temperature? Can you put them in order?<br />
33. 33. Select one of the cities above. Find the 5-Number Summary for average monthly temperatures and construct a box plot for that city below: <br />Min: Q1: Median: Q3: Max:<br />
34. 34. Combine your results with other students and answer the following questions:<br />Which city had the lowest average temperature?<br /> <br />Which city had the highest average temperature?<br /> <br />Which city had the lowest median temperature?<br /> <br />Which city had the highest median temperature?<br /> <br />Which city had the largest range of temperatures?<br /> <br />Which city had the smallest range of temperatures?<br />