select the correct answer from each drop - down menu. the scores of eighth - grade students in a math test…

select the correct answer from each drop - down menu. the scores of eighth - grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. from this data, we can conclude that 68% of the students received scores between and.

select the correct answer from each drop - down menu. the scores of eighth - grade students in a math test are normally distributed with a mean of 57.5 and a standard deviation of 6.5. from this data, we can conclude that 68% of the students received scores between and.

Answer

Answer:

51, 64

Explanation:

Step1: Recall normal - distribution property

For a normal distribution, about 68% of the data lies within 1 standard deviation of the mean.

Step2: Calculate lower - bound

The lower - bound is $\mu-\sigma$, where $\mu = 57.5$ and $\sigma=6.5$. So, $57.5 - 6.5=51$.

Step3: Calculate upper - bound

The upper - bound is $\mu+\sigma$, where $\mu = 57.5$ and $\sigma = 6.5$. So, $57.5+6.5 = 64$.