Given a normally distributed data set of 600 students grades in Algebra 2, what is the approximate number of students that fall within two standard deviations from the mean

Answer 1

Hi Camiron,

This problem uses the 68-95-99.7 Rule aka the Empirical Rule. In a normal distribution, 68% of data falls within one standard deviation of the mean, 95% fall within two, and 99.7% fall within three. You were asked about two standard deviations here, so we convert 95% to a decimal and compute:

0.95 * 600 = 570 students

I hope this helps.

Answer 2

It would be about 95.44 % of the 600 that will fall within 2 standard deviations of a normal curve.