Question

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

Answer 1

51 and 64

Explanation:

The Empirical Rule states that 68% of normally distributed data lies within one standard deviation of the mean.

Hence, if the mean is 57.5, one standard dev. above that is 57.5+6.5, or 64, and one standard dev. below the mean is 57.5-6.5 = 51.

Thus,

we can conclude that 68% of the students received scores between 51 and 64.