For a variable that is normally distributed with a mean of 50 and a standard deviation of 5, approximately ______ of the scores are between ______and ______.
A) 95%; 45 and 55
B) 95%; 40 and 60
C) 68%; 40 and 60
D) 95%; 35 and 65

Question

Quizplus · Accepted Answer

According to the empirical rule, approximately 95% of the scores fall within 2 standard deviations of the mean in a normal distribution. In this case, 2 standard deviations away from the mean of 50 is 10, so scores between 40 (50-10) and 60 (50+10) account for approximately 95% of the distribution.

For a Variable That Is Normally Distributed with a Mean