Reed Union Elementary: math

The shaded band is this district's normal range. If nothing about how it works changes, nearly every future year should land inside it. Zero means the typical student just meets the state standard. The small numbers under the years are how many students were tested.

Step 1 · Each year's result

For each grade tested, take the average (mean) scale score from the California Department of Education's results file, and subtract the lowest score that counts as "Standard Met" for that grade. That is the grade's distance from standard. Weight each grade by its share of the students tested, then add the grades up. Grades where the state hides the average because ten or fewer students tested are left out entirely.

2015 from sb_ca2015_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,422	2489.6	− 2436	53.6	× 204 / 1046	10.5
4	42,423	2543.1	− 2485	58.1	× 176 / 1046	9.8
5	42,426	2578.2	− 2528	50.2	× 190 / 1046	9.1
6	42,427	2592.3	− 2552	40.3	× 171 / 1046	6.6
7	42,430	2634.8	− 2567	67.8	× 151 / 1046	9.8
8	42,431	2650.8	− 2586	64.8	× 154 / 1046	9.5
Sum, rounded to a whole point						55

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,200	2509.6	− 2436	73.6	× 175 / 1080	11.9
4	39,202	2540.1	− 2485	55.1	× 199 / 1080	10.2
5	39,204	2590.7	− 2528	62.7	× 173 / 1080	10
6	39,205	2615.6	− 2552	63.6	× 208 / 1080	12.2
7	39,207	2635.4	− 2567	68.4	× 177 / 1080	11.2
8	39,209	2657.7	− 2586	71.7	× 148 / 1080	9.8
Sum, rounded to a whole point						65

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,182	2477.6	− 2436	41.6	× 169 / 1059	6.6
4	40,184	2546.9	− 2485	61.9	× 177 / 1059	10.3
5	40,187	2563.5	− 2528	35.5	× 206 / 1059	6.9
6	40,189	2625.8	− 2552	73.8	× 163 / 1059	11.4
7	40,191	2633.7	− 2567	66.7	× 200 / 1059	12.6
8	40,193	2660.3	− 2586	74.3	× 144 / 1059	10.1
Sum, rounded to a whole point						58

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,208	2500.9	− 2436	64.9	× 148 / 1049	9.2
4	40,209	2528.9	− 2485	43.9	× 169 / 1049	7.1
5	40,212	2579.3	− 2528	51.3	× 176 / 1049	8.6
6	40,213	2590.8	− 2552	38.8	× 200 / 1049	7.4
7	40,216	2647.2	− 2567	80.2	× 169 / 1049	12.9
8	40,217	2656.3	− 2586	70.3	× 187 / 1049	12.5
Sum, rounded to a whole point						58

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,362	2502.3	− 2436	66.3	× 140 / 986	9.4
4	40,363	2543.2	− 2485	58.2	× 152 / 986	9
5	40,364	2563.0	− 2528	35	× 164 / 986	5.8
6	40,365	2618.6	− 2552	66.6	× 173 / 986	11.7
7	40,366	2628.0	− 2567	61	× 194 / 986	12
8	40,367	2674.4	− 2586	88.4	× 163 / 986	14.6
Sum, rounded to a whole point						63

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,329	2480.4	− 2436	44.4	× 105 / 800	5.8
4	39,330	2514.5	− 2485	29.5	× 124 / 800	4.6
5	39,331	2579.7	− 2528	51.7	× 132 / 800	8.5
6	39,332	2600.6	− 2552	48.6	× 126 / 800	7.7
7	39,333	2624.5	− 2567	57.5	× 153 / 800	11
8	39,334	2653.9	− 2586	67.9	× 160 / 800	13.6
Sum, rounded to a whole point						51

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,139	2493.8	− 2436	57.8	× 103 / 720	8.3
4	40,140	2550.6	− 2485	65.6	× 101 / 720	9.2
5	40,141	2562.8	− 2528	34.8	× 119 / 720	5.8
6	40,142	2608.1	− 2552	56.1	× 128 / 720	10
7	40,143	2648.8	− 2567	81.8	× 120 / 720	13.6
8	40,144	2632.4	− 2586	46.4	× 149 / 720	9.6
Sum, rounded to a whole point						56

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,188	2486.3	− 2436	50.3	× 99 / 665	7.5
4	40,189	2547.1	− 2485	62.1	× 105 / 665	9.8
5	40,190	2581.2	− 2528	53.2	× 97 / 665	7.8
6	40,191	2583.2	− 2552	31.2	× 124 / 665	5.8
7	40,192	2656.8	− 2567	89.8	× 124 / 665	16.7
8	40,193	2676.8	− 2586	90.8	× 116 / 665	15.8
Sum, rounded to a whole point						63

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,003	2480.5	− 2436	44.5	× 107 / 685	7
4	40,004	2525.3	− 2485	40.3	× 107 / 685	6.3
5	40,005	2583.1	− 2528	55.1	× 116 / 685	9.3
6	40,006	2596.1	− 2552	44.1	× 108 / 685	7
7	40,007	2620.5	− 2567	53.5	× 124 / 685	9.7
8	40,008	2677.0	− 2586	91	× 123 / 685	16.3
Sum, rounded to a whole point						56

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	39,776	2498.6	− 2436	62.6	× 102 / 677	9.4
4	39,777	2531.4	− 2485	46.4	× 110 / 677	7.5
5	39,778	2568.6	− 2528	40.6	× 113 / 677	6.8
6	39,779	2612.0	− 2552	60	× 119 / 677	10.5
7	39,780	2654.6	− 2567	87.6	× 112 / 677	14.5
8	39,781	2667.4	− 2586	81.4	× 121 / 677	14.5
Sum, rounded to a whole point						63

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 55, 65, 58, 58, 63, 51, 56, 63, 56, 63 → 58.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 7 · 2017→2018: 0 · 2018→2019: 5 · 2019→2021: 12 · 2021→2022: 5 · 2022→2023: 7 · 2023→2024: 7 · 2024→2025: 7 → average 6.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.7 × 2.66 = 17.8. Upper limit 76.6, lower limit 41.

Why 2.66? It is the standard factor from quality control, the work of Walter Shewhart and W. Edwards Deming. It turns "how much the result typically changes in a year" into "how far it can wander by chance alone".

Years with no result (no state tests were given in spring 2020) are skipped: the year-to-year change runs from the last year with a result to the next one.

Step 3 · Free or reduced-price meals

The share of enrolled students eligible for free or reduced-price meals — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.