Stone Corral 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	101,085	2289.2	− 2436	−146.8	× 22 / 88	−36.7
4	101,088	2388.2	− 2485	−96.8	× 17 / 88	−18.7
5	101,089	2374.8	− 2528	−153.2	× 13 / 88	−22.6
6	101,092	2427.1	− 2552	−124.9	× 12 / 88	−17
7	101,093	2421.4	− 2567	−145.6	× 12 / 88	−19.9
8	101,096	2451.0	− 2586	−135	× 12 / 88	−18.4
Sum, rounded to a whole point						−133

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,792	2333.5	− 2436	−102.5	× 17 / 85	−20.5
4	93,794	2343.1	− 2485	−141.9	× 18 / 85	−30
5	93,796	2429.8	− 2528	−98.2	× 17 / 85	−19.6
6	93,799	2386.3	− 2552	−165.7	× 12 / 85	−23.4
7	93,801	2442.3	− 2567	−124.7	× 11 / 85	−16.1
8	93,802	2430.0	− 2586	−156	× 10 / 85	−18.4
Sum, rounded to a whole point						−128

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,559	2328.5	− 2436	−107.5	× 15 / 65	−24.8
4	96,560	2399.4	− 2485	−85.6	× 17 / 65	−22.4
5	96,563	2355.6	− 2528	−172.4	× 18 / 65	−47.7
6	96,564	2409.7	− 2552	−142.3	× 15 / 65	−32.8
Sum, rounded to a whole point						−128

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,743	2339.0	− 2436	−97	× 15 / 66	−22
4	96,746	2383.2	− 2485	−101.8	× 11 / 66	−17
5	96,747	2432.6	− 2528	−95.4	× 16 / 66	−23.1
6	96,750	2410.2	− 2552	−141.8	× 13 / 66	−27.9
7	96,751	2439.8	− 2567	−127.2	× 11 / 66	−21.2
Sum, rounded to a whole point						−111

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,420	2371.8	− 2436	−64.2	× 16 / 84	−12.2
4	97,421	2391.1	− 2485	−93.9	× 13 / 84	−14.5
5	97,422	2416.4	− 2528	−111.6	× 13 / 84	−17.3
6	97,423	2456.5	− 2552	−95.5	× 17 / 84	−19.3
7	97,424	2404.1	− 2567	−162.9	× 13 / 84	−25.2
8	97,425	2422.0	− 2586	−164	× 12 / 84	−23.4
Sum, rounded to a whole point						−112

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	95,294	2335.5	− 2485	−149.5	× 20 / 79	−37.8
5	95,295	2378.9	− 2528	−149.1	× 15 / 79	−28.3
6	95,296	2331.5	− 2552	−220.5	× 16 / 79	−44.7
7	95,297	2434.5	− 2567	−132.5	× 14 / 79	−23.5
8	95,298	2417.4	− 2586	−168.6	× 14 / 79	−29.9
Sum, rounded to a whole point						−164

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,596	2352.3	− 2436	−83.7	× 24 / 82	−24.5
5	97,598	2408.2	− 2528	−119.8	× 17 / 82	−24.8
6	97,599	2437.5	− 2552	−114.5	× 13 / 82	−18.2
7	97,600	2389.1	− 2567	−177.9	× 13 / 82	−28.2
8	97,601	2413.6	− 2586	−172.4	× 15 / 82	−31.5
Sum, rounded to a whole point						−127

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,443	2329.9	− 2436	−106.1	× 11 / 70	−16.7
4	97,444	2375.5	− 2485	−109.5	× 22 / 70	−34.4
6	97,446	2406.0	− 2552	−146	× 15 / 70	−31.3
7	97,447	2478.7	− 2567	−88.3	× 11 / 70	−13.9
8	97,448	2428.2	− 2586	−157.8	× 11 / 70	−24.8
Sum, rounded to a whole point						−121

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	97,338	2372.8	− 2528	−155.2	× 25 / 43	−90.2
7	97,340	2433.7	− 2567	−133.3	× 18 / 43	−55.8
Sum, rounded to a whole point						−146

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,055	2384.2	− 2436	−51.8	× 12 / 50	−12.4
6	97,058	2414.8	− 2552	−137.2	× 20 / 50	−54.9
8	97,060	2427.7	− 2586	−158.3	× 18 / 50	−57
Sum, rounded to a whole point						−124

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,685	2335.6	− 2436	−100.4	× 12 / 29	−41.5
7	96,689	2425.1	− 2567	−141.9	× 17 / 29	−83.2
Sum, rounded to a whole point						−125

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −133, −128, −128, −111, −112, −164, −127, −121, −146, −124, −125 → −129
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 0 · 2017→2018: 17 · 2018→2019: 1 · 2019→2021: 52 · 2021→2022: 37 · 2022→2023: 6 · 2023→2024: 25 · 2024→2025: 22 · 2025→2026: 1 → average 16.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.6 × 2.66 = 44.2. Upper limit −84.8, lower limit −173.2.

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.

Stone Corral Elementary