Under what circumstances would a score that is 15 points abo

Under what circumstances would a score that is 15 points above the mean be considered an extreme score, far out in the tail of the distribution?

		when the population mean is much larger than 15
		when the population standard deviation is much larger than 15
		when the population mean is much smaller than 15
		when the population standard deviation is much smaller than 15

Under what circumstances would a score that is 15 points above the mean be considered an extreme score, far out in the tail of the distribution?

		when the population mean is much larger than 15
		when the population standard deviation is much larger than 15
		when the population mean is much smaller than 15
		when the population standard deviation is much smaller than 15

		when the population mean is much larger than 15
		when the population standard deviation is much larger than 15
		when the population mean is much smaller than 15
		when the population standard deviation is much smaller than 15

		when the population mean is much larger than 15
		when the population standard deviation is much larger than 15
		when the population mean is much smaller than 15
		when the population standard deviation is much smaller than 15

when the population mean is much larger than 15

when the population standard deviation is much larger than 15

when the population mean is much smaller than 15

when the population standard deviation is much smaller than 15

		when the population mean is much larger than 15
		when the population standard deviation is much larger than 15
		when the population mean is much smaller than 15
		when the population standard deviation is much smaller than 15

Answer to the question)
The distance from the mean is exressed in terms of the standard deviation

If the standard deviation is very small , then the value of 15 seems to be very large

.
For example : if the standard deviation is : 5

then 15 = 3 standard deviations, which is very far from the mean

if the standard deviation is : 10

then 15 = 1.5 standard deviations from the mean , which is still closer to mean

Thus smaller the value of standard deviation , the distance of 15 points becomes more extreme.

Thus the correct answer choice is: D : When the Population Standard Deviation is much smaller than 15