Question

In looking at the properties of the standard normal distribution below:

Properties of the Standard Normal Distribution:

1. The total area under the normal curve is equal to 1.
2. The distribution is mounded and symmetrical; it extends indefinitely in both directions, approaching but never touching the horizontal axis.
3. The distribution has a mean of 0 and a standard deviation of 1.
4. The mean divides the area in half—0.50 on each side.

Which one of these properties does not necessarily apply to any normal distribution?

Answer 1

3.

Answer 2

can you give me a reason why its 3 because i had said number 5 which had z-score which i didnt post but my teacher said it was wrong

Answer 3

the Standard Normal Distribution can have any mean and any standard deviation

Answer 4

What was 5.?

Answer 5

Nearly all the area is between z = −3.00 and z = 3.00.

Answer 6

the standard normal distribution has mean 0 and standard deviation of 1. However, NOT ALL NORMAL DISTRIBUTIONS HAVE a mean of 0 and a standard deviation of 1. That's what makes a STANDARD NORMAL DISTRIBUTION different from other NORMAL DISTRIBUTIONS.

Answer 7

that is true, most of the 90% of the data will be between those z scores,

the question is looking for a false statement

Answer 8

95%*

Answer 9

thanks that helped a lot