Under what circumstances is a score that is located 5 points above the mean a ce
ID: 3437640 • Letter: U
Question
Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?
a.
When the population mean is much less than 5
b.
When the population mean is much greater than 5
c.
When the population standard deviation is much less than 5
d.
When the population standard deviation is much greater than 5
a.
When the population mean is much less than 5
b.
When the population mean is much greater than 5
c.
When the population standard deviation is much less than 5
d.
When the population standard deviation is much greater than 5
Explanation / Answer
As the relative position of the mean is the z score, we look at the formula for the z score.
As
z = (x - u) / sigma
and x - u = 5 (fixed),
then increasing sigma (standard deviation) will make the z score low.
Thus, the answer is OPTION D: When the population standard deviation is much greater than 5. [answer]
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