Which of the following are properties of a normal distribution? A. The normal di

Question

Which of the following are properties of a normal distribution? A. The normal distribution curve is unimodal. B. A normal distribution curve is bell-shaped. C. The area under the part of a normal curve that lies within 3 standard deviations of the mean is approximately 0.95. D. The normal curve is a discrete distribution. F. The normal distribution curve is symmetric about the standard deviation. F. The area under the part of a normal curve that lies within 1 standard deviation of the mean is approximately 0.68. G. The normal distribution curve crosses the x-axis. H. The area under the part of a normal curve that lies within 2 standard deviations of the mean is approximately 0.95. I. The mean, median, mode are located at the centre of the distribution. J. The total area under the normal distribution curve is 1.00.

Explanation / Answer

A. UNIMODAL [TRUE]

B. BELL SHAPED [TRUE]

C. FALSE. It is 0.997 by empirical rule.

D. FALSE. It is continuous.

E. FALSE. About the mean.

F. TRUE.

G. FALSE. It is asymptotic to the x axis.

H. TRUE, by empirical rule.

I. TRUE.

J. TRUE.

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