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Given a normal distribution with a mean of 28 and a standard deviation of 2.5, what percentage of the data should be between 25.5 and 30.5?

Respuesta :

Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

  • 28 - 2.5 = 25.5.
  • 28 + 2.5 = 30.5.

Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

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