Assume that a distribution has a mean of 25 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between 25 and 37? Use the 68-95-99.7 rule.

A. 95%
B. 5%
C. 47.5%

To find the percentage of values expected to fall between 25 and 37 in a distribution with a mean of 25 and a standard deviation of 6, we can use the empirical rule.

First, we calculate the range within one standard deviation of the mean. Since the standard deviation is 6, one standard deviation below the mean is 25 - 6 = 19, and one standard deviation above the mean is 25 + 6 = 31.
Next, we determine the percentage of values within this range. According to the empirical rule, approximately 68% of the values fall within one standard deviation of the mean.
Finally, we calculate the percentage of values between 25 and 37 within this range. Since 25 is within one standard deviation of the mean, we can expect that a similar percentage of values will fall between 25 and 37. Therefore, approximately 68% of the values in the distribution are expected to fall between 25 and 37.

Learn more about percentage of values within a given range in a distribution here:

https://brainly.com/question/32832578

#SPJ11

Assume that a distribution has a mean of 25 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between 25 and 37? Use the 68-95-99.7 rule.A. 95%B. 5%C. 47.5%

Answer :

Final answer:

Explanation:

Other Questions

Assume that a distribution has a mean of 25 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between 25 and 37? Use the 68-95-99.7 rule.

A. 95%
B. 5%
C. 47.5%