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question 1 of 10 in a normal distribution, 99.7% of the data fall withi…

Question

question 1 of 10
in a normal distribution, 99.7% of the data fall within how many standard deviations of the mean?
a. two standard deviations
b. one standard deviation
c. it cannot be determined from the given information.
d. three standard deviations

Explanation:

Step1: Recall the empirical rule

The empirical rule for a normal distribution states that approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% of the data falls within 2 standard deviations of the mean, and approximately 99.7% of the data falls within 3 standard deviations of the mean.

Answer:

D. Three standard deviations