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

question 164

Multiple Choice

For any data set of n values with standard deviation s, every value must be within $s \sqrt { n - 1 }$ 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?

• A) Yes
• B) No

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