Approximately what percent of the norming group in a normal distribution falls between two standard deviations below the mean and two standard deviations above the mean?

In a normal distribution, the empirical rule, also known as the 68-95-99.7 rule, provides a clear understanding of how data is spread around the mean. According to this rule, about 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

When considering the range between two standard deviations below to two standard deviations above the mean, you can see that the correct answer aligns with the 95% figure outlined in this rule. This means that if you were to plot a normal curve, 95% of the scores would indeed lie within that range.

The correct understanding of this distribution is pivotal in various fields, including statistics, psychology, and any discipline that relies on data analysis to draw conclusions based on normality assumptions. Hence, knowing that approximately 95% of data falls within two standard deviations emphasizes the significance of this distribution in interpreting data and understanding variances.