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What z-score value separates the highest 10 of the scores in a normal distribution from the lowest 90?
It is 1.281551
What is the z-values associated with the middle 44 percent of the standard normal distribution?
-0.772 < Z < 0.772
How do the width and height of a normal distribution curve?
By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.
What percent of the data in a normal distribution lies more than 2 standard deviations above the mean?
2.275 %
Does a normal probability distribution include a bimodal distribution?
No, the normal distribution is strictly unimodal.
What z-score value separates the highest 10 of the scores in a normal distribution from the lowest 90?
It is 1.281551
What percent falls below the mean for normal distribution?
In a normal distribution half (50%) of the distribution falls below (to the left of) the mean.
Does the median have 50 percent of the cases below only in a normal distribution?
No. By definition of the median, the median has 50 percent of the case below and 50 percent of the cases above. This has nothing to do with the cases being in a normal distribution.
What Percent of data is below the mean in a normal distribution?
In the normal distribution, the mean and median coincide, and 50% of the data are below the mean.
What z-score for the upper 50 percent of area under the normal curve?
A Z-Score of 0 separates the upper 50% of the area from the lower 50% of the area. A Z-Score of 0 is at the mean, median, and mode of the distribution.
What percent of a normal distribution is located in the tail beyond z equals 2.00?
2.27
What percent of the scores in a normal distribution will fall within one standard deviation?
It is 68.3%
In a standard normal distribution about percent of the scores fall above a z-score of 3.00?
0.13
What is the z-values associated with the middle 44 percent of the standard normal distribution?
-0.772 < Z < 0.772
Is the middle spread that is the middle 50 percent of the normal distribution is equal to one standard deviation?
false
How do the width and height of a normal distribution curve?
By standard practice, the normal distribution curve should be normalized so that the area under the curve is 1. This results in a height, at the mean, of about 0.4, i.e. the probability of a sample value being equal to the mean is 40 percent. The width of the normal distribution curve is infinite, as the tails are asymptotic to the X axis. It is easier to understand that the +/- one sigma area is 68.2 percent, the +/- two sigma area is 95.4 percent, and the +/- three sigma area is 99.6 percent.
What is the difference between a normal distribution and the standard normal distribution?
The standard normal distribution is a normal distribution with mean 0 and variance 1.
