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Only about 2.2% of people have extreme scores more than 2 SD above and below the mean

A) True
B) False

User Kilsy
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1 Answer

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Final answer:

The statement is false; approximately 5% of a bell-shaped distribution's data lies beyond two standard deviations from the mean, which is more than the 2.2% suggested in the question.

Step-by-step explanation:

The statement about only about 2.2% of people having extreme scores more than 2 standard deviations (SD) above or below the mean is false. According to the Empirical Rule, for data that has a bell-shaped and symmetric distribution, approximately 95 percent of the data lies within two standard deviations of the mean. This means that approximately 2.5 percent of scores would be found beyond two standard deviations on each side of the mean (above and below), totaling approximately 5% for both tails combined. Therefore, the proportion of people with extreme scores more than 2 SD above and below the mean would be greater than 2.2%.

User Amol Sharma
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