Which of the following is always true of a normal distribution?

I. It extends exactly three standard deviations in each direction from the mean
II. The mean equals the median, which equals the mode.
III. An interval one standard deviation wide centered at the mean has more area under the curve than an interval one standard deviation wide centered at a value to the right of the mean

A. I only
B. II and III only
C. I and III only
D. II only
E. I, II, III

Question

Which of the following is always true of a normal distribution? 

I. It extends exactly three standard deviations in each direction from the mean 
II. The mean equals the median, which equals the mode. 
III. An interval one standard deviation wide centered at the mean has more area under the curve than an interval one standard deviation wide centered at a value to the right of the mean

A. I only
B. II and III only
C. I and III only
D. II only
E. I, II, III

welshfella · Answer

I know that II is definitely true

welshfella · Answer

also III

not sure about I

hockeychick23 · Answer

ok thanks :) i knew the second one was right but i wasn't sure about the other 2, especially the III one