In a normal distribution with 3 1 (M SD),a researcher can appropriately conclude that about 84.13% of scores were greater than 2.

Question

In a normal distribution with 3  1 (M  SD),a researcher can appropriately conclude that about 84.13% of scores were greater than 2.

Quizplus · Accepted Answer

This is true according to the empirical rule, which states that in a normal distribution, about 68% of scores fall within one standard deviation of the mean, about 95% fall within two standard deviations of the mean, and about 99.7% fall within three standard deviations of the mean. Since 2 is two standard deviations away from the mean (assuming the mean is 1 and SD is also 1), we can conclude that about 84.13% of scores are greater than 2.

In a Normal Distribution with 3 1 (M