Reconsider the court awards data presented in Exercise 59.

a. What are the values of the quartiles, and what is the value of the iqr?
b. How large or small does an observation have to be to qualify as an outlier? As an extreme outlier? 

c. Construct a boxplot, and comment on its features.

Data From Exercises 59

In 1997 a woman sued a computer keyboard  manufacturer, charging that her  repetitive stress injuries were caused by the  keyboard (Genessy v. Digital Equipment  Corp.). The jury awarded about $3.5 million  for pain and suffering, but the court then set aside that award as being unreasonable compensation. In making this determination, the court identified a “normative” group of 27 similar cases and specified a reasonable award as one within two standard deviations of the mean of the awards in the 27 cases. The 27 awards (in $1000s) were

from which ∑x_i = 20;179, ∑x²_i = 24;657;511. What is the maximum possible amount that could be awarded under the two standard deviation rule?

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