For a variable that is normally distributed with a mean of 150 and a standard deviation of 25, approximately ______ of the scores are between ______ and ______.
A) 95%; 125 and 175
B) 95%; 100 and 200
C) 68%; 100 and 200
D) 99%; 125 and 175

Question

Quizplus · Accepted Answer

According to the empirical rule (68-95-99.7 rule), approximately 95% of the data in a normal distribution falls within two standard deviations from the mean. Here, two standard deviations from the mean (150) is 150 ± 2(25), which is 100 to 200.

For a Variable That Is Normally Distributed with a Mean