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In a normal distribution, where do about 68% of the data values fall?

Choose the correct answer below.

A. They fall within 3 standard deviations of the mean. This is true by the definition of the normal distribution.

B. They fall within 1 standard deviation of the mean. This is because by the 68-95-99.7 rule, approximately 68% or two-thirds of all data points in a normal distribution fall within 1 standard deviation of the mean.

C. They fall within 1 standard deviation of the mean. This is true by the definition of the normal distribution.

D. They fall within 2 standard deviations of the mean. This is because by the 68-95-99.7 rule, approximately 95% of all data points in a normal distribution fall within 2 standard deviations of the mean.

E. They fall within 2 standard deviations of the mean. This is true by the definition of the normal distribution.

F. They fall within 3 standard deviations of the mean. This is because by the 68-95-99.7 rule, approximately 99.7% of all data points in a normal distribution fall within 3 standard deviations of the mean.

Answer :

Final answer:

Approximately 68% of the data values in a normal distribution fall within 1 standard deviation of the mean.


Explanation:

In a normal distribution, approximately 68% or two-thirds of the data values fall within 1 standard deviation of the mean. This is known as the 68-95-99.7 rule, which describes the percentages of data falling within specific numbers of standard deviations from the mean. Therefore, option B is correct.


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