High School Math : Understanding Normal Distributions
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Example Questions
Example Question #1 : How To Identify Characteristics Of A Normal Distribution
Which of the following populations has a precisely normal distribution?
A normal distribution is one in which the values are evenly distributed both above and below the mean. A population has a precisely normal distribution if the mean, mode, and median are all equal. For the population of 3,4,5,5,5,6,7, the mean, mode, and median are all 5.
Example Question #2 : How To Identify Characteristics Of A Normal Distribution
If a population has a normal distribution, the number of values within one positive standard deviation of the mean will be . . .
at least 40% of all values in the population
fewer than 20% of all values in the population
equal to the number of values within two negative standard deviations of the mean
fewer than the number of values within one negative standard deviation of the mean
equal to the number of values within one negative standard deviation of the mean
equal to the number of values within one negative standard deviation of the mean
In a normal distribution, the number of values within one positive standard deviation of the mean is equal to the number of values within one negative standard deviation of the mean. The reason for this is that the values below the population mean exactly parallel the values above the mean.
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