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Standard Deviation and Mean : Appication Word Problem - Phony Data?

For any data set of n values with standard deviation s, every value must be within s √n - 1 of the mean. A statistics teacher reports that the test scores in her class of 17 students had a mean of 75.0 and a standard deviation of 5.0. Kelly, the class's self-proclaimed best student, claims that she received a grade of 97. Could Kelly be telling the truth?


Solution Summary

Mean and standard deviation are applied to the validity of data. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.