2011, the mean property crime rate​ (per 100,000​ people) for 10 northeastern regions of a certain country was 2426. The standard deviation was 403. Assume the distribution of crime rates is unimodal and symmetric. If someone guessed that the property crime rate in one northeastern region was 9027​, would this number be consistent with the data​ set?

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In​ 2011, the mean property crime rate​ (per 100,000​ people) for 10 northeastern regions of a certain country was 2426.

The standard deviation was 403.

Assume the distribution of crime rates is unimodal and symmetric.

If someone guessed that the property crime rate in one northeastern region was 9027​, would this number be consistent with the data​ set?
 
First find the upper bound for three standard deviations from the mean.
 
The upper bound that represents three standard deviations from the mean is 
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