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?
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.