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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.55 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 2.12 and 2.98 ?

Respuesta :

Using the Empirical Rule, 68% of the students have grade point averages that are between 2.12 and 2.98.

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.

For this problem, we have that:

  • 2.55 - 0.43 = 2.12.
  • 2.55 + 0.43 = 2.98.

Hence 68% of the students have grade point averages that are between 2.12 and 2.98.

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

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