i. The normal curve falls off smoothly in either direction from the central value. Since it is asymptotic, the curve gets closer and closer to the X-axis, but never actually touches it. ii. The mean (µ) divides the normal curve into two identical halves.
iii. The number of different normal distributions is unlimited.
A) (i), (ii), and (iii) are all correct statements.
B) (i) is a correct statement but not (ii) or (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

All three statements are correct. (i) describes the shape of a normal curve, (ii) refers to the symmetry of the curve around its mean, and (iii) highlights the fact that there are infinitely many normal distributions with different means and standard deviations.

I the Normal Curve Falls Off Smoothly in Either Direction