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Violen crimes include​ grape, robbery,​ assault, and l=lomicide. The following is a summary of the​ violent-crime rate​ (violent crimes per​ 100,000 population) for all states of a country in a certain year. Complete parts​ (a) through​ (d).
​ ​, (c) The​ violent-crime rate in a certain state of the country in that year was. Would this be an​ outlier?

The lower fence is


enter your response here crimes per​ 100,000 population.

The upper fence is


enter your response here crimes per​ 100,000 population.



Answer :

From the interquartile range of the distribution, the fences for non-outliers are given as follows:

  • Lower: 0.
  • Upper: 657.65.

What is the missing information?


The quartiles of the distribution are given as follows:

  • Q1: 273.8. (violent crimes per​ 100,000 population)
  • Q3: 529.7. (violent crimes per​ 100,000 population)

What is the interquartile range and how it is related to outliers?

The interquartile range of a distribution is given by the difference of the third quartile by the first quartile, that is:

IQR = Q3 - Q1.

Outliers are given by:

  • 1.5 IQR below Q1.
  • 1.5 IQR above Q3.

For this problem, the IQR is:

IQR = 529.7 - 273.8 = 255.9.

Hence the fences are:

  • Lower: 273.8 - 1.5 x 255.9 = -110.05, negative numbers are not possible in the range of the question, hence the lower fence is of 0.
  • Upper: 273.8 + 1.5 x 255.9 = 657.65.

More can be learned about the interquartile range of a distribution at https://brainly.com/question/17083142

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