Answer:
By the Empricial Rule, approximately 68% of the 500 scores fell between 80 and 90
Step-by-step explanation:
The Empirical Rule 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 deviation of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 85
Standard deviation = 5
Approximately what percentage of the 500 scores fell between 80 and 90?
80 = 85 - 5
So 80 is one standard deviation below the mean
90 = 85 + 5
So 90 is one standard deviation above the mean
By the Empricial Rule, approximately 68% of the 500 scores fell between 80 and 90
