Violent crimes include rape, robbery, assault, and homicide. 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 crimes per 100,000 population.

The upper fence is crimes per 100,000 population.

Question

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Answer :

joaobezerra joaobezerra · Answer 1 · 2024-09-12T10:52:12-04:00

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

The quartiles of the distribution are given as follows:

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:

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.

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

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