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.

Question

3 years ago

11

5 and 30.5?

1 answer:

Setler79 [48] · Answer 1 · 2022-11-24T13:14:16+03:00

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

<h3>What does the Empirical Rule state?</h3>

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:

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 brainly.com/question/24537145