Normal distribution

Question

500 students are getting ready to take the bar exam. Assume that the scores can be approximated by a normal distribution. How many students do we expect to be within 2 standard deviations from the mean? Enter your answer, rounded to the nearest whole number.

Answer 1

According the to empirical rule, 95% of data in a normal distribution is within 2 standard deviations of the mean. Since 500 students are taking the exam, we can expect that 95% of 500 students will score within 2 standard deviations from the mean.

95% of 500 = 0.95*500 = 475 students