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What must be done to a normal curve to make it into a standard normal distribution curve?
The mean must be 0 and the standard deviation must be 1. Use the formula: z = (x - mu)/sigma
Is the mean and standard deviation used in the following descriptive statistics to determine the curve of a normal distribution?
It is impossible to answer the question because "the following" did not follow.
Is normal distribution symmetrical?
Yes. By definition. A normal distribution has a bell-shaped density curve described by its mean and standard deviation. The density curve is symmetrical(i.e., an exact reflection of form on opposite sides of a dividing line), and centered about (divided by) its mean, with its spread (width) determined by its standard deviation. Additionally, the mean, median, and mode of the distribution are equal and located at the peak (i.e., height of the curve).
He area under the standard normal curve is?
The area under the standard normal curve is 1.
What percent of a normal population is within 2 standard deviations of the mean?
In a normal distribution, approximately 95% of the population falls within 2 standard deviations of the mean. This is known as the 95% rule or the empirical rule. The empirical rule states that within one standard deviation of the mean, about 68% of the population falls, and within two standard deviations, about 95% of the population falls.
