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For Any Data Set of N Values with Standard Deviation sn1s \sqrt { n - 1 }

question 164

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For any data set of n values with standard deviation s, every value must be within sn1s \sqrt { n - 1 } of the mean. In a class of 17 students, the heights of the students have a mean of 67.3 inches and a standard deviation of 3.2 inches. The tallest student in class, a hopeful member of the basketball team, claims to be
79.3 inches tall. Could he be telling the truth?


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