In an approximately normal distribution, roughly what share of observations falls within one standard deviation of the mean?
Correct Answer
B) About 68 percent of the observations
Why this is correct: In statistics, for a normal (bell-shaped) distribution, approximately 68% of the observations fall within one standard deviation (plus or minus) of the mean. This is known as the empirical rule. Why the other choices are wrong: "About 50 percent of the observations" is wrong; that's roughly the share within half a standard deviation. "About 95 percent of the observations" is wrong; that's the share within two standard deviations. "About 99 percent of the observations" is wrong; that's roughly the share within three standard deviations. Exam tip: Memorize the 68-95-99 rule for normal distributions: 1, 2, and 3 standard deviations from the mean.
Why This Is the Correct Answer
Why this is correct: In statistics, for a normal (bell-shaped) distribution, approximately 68% of the observations fall within one standard deviation (plus or minus) of the mean. This is known as the empirical rule. Why the other choices are wrong: "About 50 percent of the observations" is wrong; that's roughly the share within half a standard deviation. "About 95 percent of the observations" is wrong; that's the share within two standard deviations. "About 99 percent of the observations" is wrong; that's roughly the share within three standard deviations. Exam tip: Memorize the 68-95-99 rule for normal distributions: 1, 2, and 3 standard deviations from the mean.
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