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 BLANK and BLANK.

*Choices for first blank*: A) 34 B) 51

*Choices for second blank*: A) 64 B) 68

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 BLANK and BLANK.

*Choices for first blank*: A) 34 B) 51

*Choices for second blank*: A) 64 B) 68

mhchen · Answer

Use z-scores. z-score of something is 68 percent, so once you solve for z-scores, you know the amount of standard deviations from the mean, which can be translated into your values.