APPENDIX A
Examples of Aggregate Discount-Rate Calculations for Central Billing
| Example 1: | Comparison of Simple, Population-Weighted and Service-Weighted Averages When Services Unevenly Distributed by Population |
| Enrollment | Free & Reduced Lunch |
Poverty Rate |
Cost Category |
Discount Rate |
Pop. Weight Factor |
Pop. Weighted Discount Rate |
Computers | Service Weight Factor |
Service Rate |
|
| School 1 | 1000 | 950 | 95% | Urban | 90% | 0.31 | 0.28 | 100 | 0.29 | 0.26 |
| School 2 | 750 | 75 | 10% | Urban | 40% | 0.23 | 0.09 | 150 | 0.43 | 0.17 |
| School 3 | 500 | 300 | 60% | Urban | 80% | 0.15 | 0.12 | 50 | 0.14 | 0.11 |
| School 4 | 800 | 400 | 50% | Urban | 80% | 0.25 | 0.20 | 40 | 0.11 | 0.09 |
| School 5 | 200 | 180 | 90% | Rural | 90% | 0.06 | 0.06 | 10 | 0.03 | 0.03 |
| Total | 3250 | 1905 | -- | -- | -- | 1.00 | -- | 350 | 1.00 | -- |
| Simple Average | -- | -- | -- | -- | 76% | -- | -- | -- | -- | -- |
| Pop. Weighted Average | -- | -- | -- | -- | -- | -- | 74% | -- | -- | 66% |
| Rounded Average | -- | -- | -- | -- | 75% | -- | 75% | -- | -- | 65% |
| Example 2: | Area-Wide Calculation When Services Evenly Distributed by Population |
| Enrollment | Free & Reduced Lunch |
Poverty Rate |
Cost Category |
Discount Rate |
Pop. Weight Factor |
Pop. Weighted Discount Rate |
|
| School 1 | 1000 | 300 | 30% | Urban | 50% | 0.31 | 0.15 |
| School 2 | 750 | 250 | 33% | Urban | 50% | 0.23 | 0.12 |
| School 3 | 500 | 200 | 40% | Urban | 60% | 0.15 | 0.09 |
| Cost Sub-Total | 2250 | 750 | 33% | Urban | 50% | 0.69 | 0.35 |
| School 4 | 800 | 400 | 50% | Urban | 80% | 0.25 | 0.20 |
| School 5 | 200 | 100 | 50% | Rural | 80% | 0.06 | 0.05 |
| Cost Sub-Total | 1000 | 500 | 50% | Rural | 80% | 0.31 | 0.25 |
| Total | 3250 | 1250 | 38% | -- | -- | 1.00 | -- |
| Simple Average | -- | -- | -- | -- | 64% | -- | -- |
| Rounded Simple Average | -- | -- | -- | -- | -- | -- | |
| Pop. Weighted Average | -- | -- | -- | -- | -- | -- | 61% |
| Rounded Pop. Weighted Average | -- | -- | -- | -- | 65% | -- | 60% |
| Area-wide Rate | -- | -- | -- | -- | -- | -- | 60% |
| Rounded Area-wide Rate | -- | -- | -- | -- | -- | -- | 60% |
| [ IX. Application Forms ] | [ Appendix B. Checklist for Approval of New Technology Plans ] |
This page last updated 8/10/97 (pjh).