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Answer :
Final answer:
The Empirical Rule is used to estimate the range of values for data that is unimodal and symmetric. Depending on the specific percentage of data asked for, the range of violent crime rates could be between 191 and 441 for 68%, 66 and 566 for 95%, and 0 and 691 for 99.7%.
Explanation:
The subject matter of this question pertains to statistics, particularly dealing with concepts of mean, standard deviation, and the Empirical Rule. The given mean rate of violent crime is 316 per 100,000 people and the standard deviation is 125. The Empirical Rule states that for a data distribution that is unimodal and symmetric, about 68 percent of the values lie within one standard deviation from the mean, 95 percent within two standard deviations, and 99.7 percent within three standard deviations.
As the specific percentage is not mentioned in the question, let's consider the following scenarios:
- For about 68 percent of the rates, the values would lie between (316 - 125) and (316 + 125), that is, between 191 and 441.
- For about 95 percent of the rates, the values would lie between (316 - 2*125) and (316 + 2*125), that is, between 66 and 566.
- For about 99.7 percent of the rates, the values would lie between (316 - 3*125) and (316 + 3*125), that is, between -59 and 691.
Please note that the negative value in the third interval doesn't make sense in this context as crime rates cannot be negative, so we can adjust that to be zero.
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