Analyze the math variations between each school type for totals

 Analyze the math variations between each school type for totals 

Here is an analysis of the mathematical variations between school types, based on the "Totals" data for each school.

This analysis filters for all school-level records where Group is 'Total' and Subgroup is 'Totals' (818 records found). It excludes the 'State Record' to focus purely on the variations between individual schools.

Math Performance Variation by School Type

Conclusions:

• Highest Performance: Elementary schools have the highest mean math performance (0.610) by a significant margin.

• Lowest Performance: Secondary schools (high schools) have the lowest mean performance (0.396).

• Greatest Variation: Elementary schools also show the largest variation in performance. Their standard deviation is the highest (0.099), and their performance range is the widest (from 0.384 to 0.979). This indicates a very wide gap between the lowest- and highest-performing elementary schools.

• Least Variation: Secondary schools and "All Schools" types show the least variation (standard deviations of 0.062 and 0.061, respectively), with scores clustered more tightly around their respective means.

Conclusions:

• Highest Progress: Elementary schools have the highest mean progress (0.476).

• Greatest Variation: Just as with performance, Elementary schools show, by far, the most variation in progress. The standard deviation (0.144) is significantly larger than for Middle or "All Schools" types, and the range is extremely wide (from 0.111 to 0.921).

• Data Gap: There is no "Totals" data available for Math Progress for Secondary schools, so a comparison is not possible for that school type.

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Overall Summary

1. Performance Declines by Level: There is a clear trend of declining math performance as students move from Elementary (0.610 mean) to Middle (0.498 mean) and then to Secondary (0.396 mean).

2. Elementary Schools Have Widest Gaps: The most significant variations in both performance and progress exist at the Elementary school level. This suggests large inconsistencies in math outcomes across different elementary schools.

3. Secondary Schools Are More Clustered: Secondary schools, while having the lowest average performance, are more consistent. The gap between the highest- and lowest-performing secondary schools is much smaller than at the elementary level.