Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?
A)When the population mean is much larger than 15
B)When the population standard deviation is much larger than 15
C)When the population mean is much smaller than 15
D)When the population standard deviation is much smaller than 15

Question

Under what circumstances is a score that is 15 points above the mean an extreme score relatively far from the mean?​
A)​When the population mean is much larger than 15
B)​When the population standard deviation is much larger than 15
C)​When the population mean is much smaller than 15
D)​When the population standard deviation is much smaller than 15

Quizplus · Accepted Answer

A score that is 15 points above the mean may be considered extreme if the population standard deviation is much smaller than 15. This is because a smaller standard deviation indicates that scores are more tightly clustered around the mean, making deviations from the mean relatively more extreme.

Under What Circumstances Is a Score That Is 15 Points