Question

If the mean and standard deviation is known and the histogram is bell shaped then the empirical rule can be used as follow: A. Approximately 65% of all observations fall within one standard deviation of the mean (µ - σ; µ + σ). B. Approximately 99.9% of all observations fall within three standard deviations of the mean (µ - 3σ; µ + 3σ). C. None of the preceding. D. Approximately 95% of all observations fall within two standard deviations of the mean (µ - 2σ; µ + 2σ).

Answer 1

Answer: The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean

Step-by-step explanation: Under this rule, 68% of the data falls within one standard deviation, 95% percent within two standard deviations, and 99.7% within three standard deviations from the mean.

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