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In a normal distribution, which of the following statements is true about the area that falls between one standard deviation above and one standard deviation below the mean? It contains the bottom 50% of the distribution. Answer A: It contains the bottom 50% of the distribution. A It contains the middle 50% of the distribution. Answer B: It contains the middle 50% of the distribution. B It contains the bottom 68% of the distribution. Answer C: It contains the bottom 68% of the distribution. C It contains the middle 68% of the distribution. Answer D: It contains the middle 68% of the distribution. D It is the same as the square of the average deviation.

Sagot :

B it contains the middle 50% of the distributing

Using the Empirical Rule, the correct option is given by:

It contains the middle 68% of the distribution.

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The Empirical Rule states that:

  • The middle 68% of a distribution is within one standard deviation of the mean.
  • The middle 95% of a distribution is within two standard deviations of the mean.
  • The middle 99.7% of a distribution is within three standard deviations of the mean.

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  • The problem asks the percentage that is within one standard deviation of the mean, which is the middle 68%, thus the correct option is:

It contains the middle 68% of the distribution.

A similar problem is given at https://brainly.com/question/24244232

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