Multiple Choice
In a perfectly normal distribution of scores, what percentage of the data falls within of the mean ?
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6. Normal Distribution and Continuous Random Variables
Standard Normal Distribution
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Join thousands of students who trust us to help them ace their exams!Watch the first videoMultiple Choice
Which of the following does not describe the standard normal distribution?
A
Its distribution is skewed to the right.
B
Its total area under the curve is .
C
It has a standard deviation of .
D
It has a mean of .
Verified step by step guidance1
Recall the definition of the standard normal distribution: it is a normal distribution with a mean (\mu) of 0 and a standard deviation (\sigma) of 1.
Understand that the standard normal distribution is symmetric about its mean, which means it is not skewed to the right or left; it has zero skewness.
Remember that the total area under the probability density function (PDF) curve of any probability distribution, including the standard normal distribution, is always equal to 1, representing the total probability.
Note that the standard deviation of the standard normal distribution is 1 by definition, which measures the spread or dispersion of the distribution.
Conclude that the statement 'Its distribution is skewed to the right' does not describe the standard normal distribution because it contradicts the property of symmetry.
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