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Five Number Summary and Boxplot

1) Lottery: Box plot the following numbers: 0,5,5,7,9

2) Movie Budget: Find the 5- number summary and boxplot them: 18.5, 72, 0.25,55, 10, 0.325, 70, 17, 8, 70, 25, 15, 6.4, 50, 100

3) Cereal Calories: Box plot the following numbers: 3.3, 3.6, 3.75, 3.95, 4.1

4) Nicotine: Find the 5 number summary and box plot them: 1.2, 1.2, 1.0, 0.8, 0.1, 0.8, 0.8, 1.0, 1.0, 1.0, 1.1, 1.2, 1.2, 0.7, 0.9, 0.2, 1.4, 1.2, 1.1, 1.0, 1.3, 0.8, 1.0, 1.0, 0.5, 0.6, 0.7, 1.4, 1.1

5) Red M & M'S: Box plot the following numbers: 0.870, 0.891, 0.908, 0.924, 0983

6) Bear Lengths: Find the summary of the following numbers and boxplot them: 53.0, 67.5, 72.0, 72.0, 62.0, 70.0, 73.5, 68.5, 64.0, 58.0, 73.0, 37.0, 63.0, 67.0, 52.0, 59.0, 64.0, 36.0, 59.0, 72.0,57.5, 61.0, 54.0, 40.0, 63.0, 43.0, 66.5, 60.5, 60.0, 61.0, 40.0, 64.0, 65.0, 49.0, 47.0, 59.0, 72.0, 65.0, 63.0, 70.5, 48.0, 50.0, 76.5, 46.0, 61.5, 63.5, 48.0, 41.0, 53.0, 52.5, 46.0, 43.5, 75.0, 57.3

Solution Preview

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Answer

In its simplest form, the boxplot presents five sample statistics - the minimum, the lower quartile, the median, the upper quartile and the maximum - in a visual display. The box of the plot is a rectangle which encloses the middle half of the sample, with an end at each quartile. The length of the box is thus the inter quartile range of the sample. The other dimension of the box does not represent anything in particular. A line is drawn across the box at the sample median. Whiskers sprout from the two ends of the box until they reach the sample maximum and minimum. The crossbar at the far end of each whisker is optional and its length signifies nothing.

Tukey's Method

The method recommended by Tukey, who invented the boxplot, is as follows:

Find the ...

Solution Summary

The solution gives the five number summary and boxplot of the given data, with an attached Word file, Excel file and PDF file.

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