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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?

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If a person's strength test standard score is 0.0, assuming a normal distribution, that person is stronger than 50% of the population.

Does a normal curve's area beneath it always equal 1?

The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. A normal curve's undercut area is always equal to one.

What proportion of scores deviates more than one standard deviation from the mean?

Approximately 68 percent of the observations (or 68 percent of the area under the curve) will always fall within two standard deviations (one above and one below) of the mean, regardless of how a normal distribution appears or how large or small the standard deviation is.

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