What should be the optimal distance of the data points from the trend line in terms of percentage?

The best choice regarding the optimal distance of data points from the trend line is grounded in the application of statistical analysis in educational settings. In this context, maintaining a distance of 15% of the mean average allows professionals to evaluate performance data effectively while accommodating for natural variability. This percentage strikes a balance between being broad enough to include inherent fluctuations in the data while still being close enough to the trend line to reflect meaningful progress or regression.

Using the mean as a reference point ensures that the assessment is sensitive to the central tendency of the data set, which is particularly important in school psychology when analyzing student performance or behavioral data. This approach allows school psychologists to monitor progress and identify significant deviations that could indicate the need for intervention.

Other options present different bases for determining the optimal distance but do not consistently utilize a measure that effectively represents the data's central tendency, such as the mean. Therefore, focusing on a distance of 15% relative to the mean average provides a sound methodology for interpreting the relationship between data points and the established trend, facilitating better decision-making in interventions and supports for students.