Which of the following statement is true about normal probability distribution?

Which of the following statements is NOT true about a normal distribution?

Which of the following statements is NOT true about a normal distribution?

a

A normal distribution has a bell-shaped curve

b

The standard normal distribution has a mean of 0 and a standard deviation of 1

c

The height of the curve indicates the probability of an x-value being lower than the selected x-value

d

A normal distribution curve is symmetrical on both sides of the mean

e

A normal distribution has the same mean, median, and mode

Which of the following statement is true about normal probability distribution?

Which of the following statement is true about normal probability distribution?

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Which of the following statements is true about normal probability distribution?

Answer and Explanation: The normal probability distribution has a mean and standard deviation as its parameters. It's mean is 0 and the standard deviation is 1 only when the normal distribution has been standardized, otherwise, it can take on any values. The normal probability distribution is symmetrical.

What is true about a normal distribution?

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Which statement about normal distribution is correct?

In a normal distribution, the values of mean, median and mode are equal. So, the point (ii) is correct in the context of a normal distribution curve. Also, the normal distribution curve or bell curve is symmetric about the line $X = \mu $ .

Which of the following statement is the characteristic of a normal probability distribution?

Which of the following statements is the characteristic of a normal probability distribution? The two measures of central tendency such as mean and mode are equal while the median is less than zero.