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) All statements are false

Question

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) All statements are false

Quizplus · Accepted Answer

The normal distribution is characterized by its bell-shaped curve, which is asymptotic, meaning it approaches but never touches the X-axis. The mean divides the curve into two symmetrical halves, and there are infinitely many normal distributions, each defined by its mean and standard deviation.

I the Normal Curve Falls Off Smoothly in Either Direction