If a certain sample of data has a mean of 24.0 and a standard deviation of 3.0, which of the ...

If a certain sample of data has a mean of 24.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?

Quiz

Answer/Solution

17.0

Steps/Work

Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5*SD=7.5. So the value must be either less than 24-7.5=16.5or more than 24+7.5=31.5.
Answer: C.