Question

Which of the following about the normal distribution is not​ true?

(A) ​Theoretically, the​ mean, median, and mode are the same.
(B) Its parameters are the​ mean, mu​, and standard​ deviation, sigma.
(C) About two thirds of the observations fall withinplus or minus1 standard deviation from the mean.
(D) It is a discrete probability distribution.

Answer 1

Normal distribution is a Continuous distribution.

Explanation:

Normal Distribution:

The following information is true about normal distribution.

• ​Theoretically, the​ mean, median, and mode are the same.

• Its parameters are the​ mean, mu​, and standard​ deviation, sigma.

• About two thirds of the observations fall within plus or minus 1 standard deviation from the mean.

But normal distribution is not a discrete distribution. It is a continuous distribution.

• The normal distribution is a continuous probability distribution. This has several implications for probability.
• The probability that a normal random variable X equals any particular value is 0.