Gravenstein 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	94,236	2468.7	− 2436	32.7	× 69 / 478	4.7
4	94,239	2510.0	− 2485	25	× 68 / 478	3.6
5	94,240	2549.0	− 2528	21	× 75 / 478	3.3
6	94,243	2573.5	− 2552	21.5	× 70 / 478	3.1
7	94,244	2575.1	− 2567	8.1	× 83 / 478	1.4
8	94,247	2583.6	− 2586	−2.4	× 113 / 478	−0.6
Sum, rounded to a whole point						16

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,492	2479.9	− 2436	43.9	× 72 / 468	6.8
4	87,494	2521.6	− 2485	36.6	× 78 / 468	6.1
5	87,496	2558.9	− 2528	30.9	× 71 / 468	4.7
6	87,497	2572.5	− 2552	20.5	× 85 / 468	3.7
7	87,500	2598.9	− 2567	31.9	× 81 / 468	5.5
8	87,501	2604.3	− 2586	18.3	× 81 / 468	3.2
Sum, rounded to a whole point						30

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,989	2474.8	− 2436	38.8	× 79 / 465	6.6
4	89,991	2507.8	− 2485	22.8	× 78 / 465	3.8
5	89,993	2564.9	− 2528	36.9	× 74 / 465	5.9
6	89,994	2561.7	− 2552	9.7	× 74 / 465	1.5
7	89,997	2591.9	− 2567	24.9	× 82 / 465	4.4
8	89,998	2596.1	− 2586	10.1	× 78 / 465	1.7
Sum, rounded to a whole point						24

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,190	2491.3	− 2436	55.3	× 81 / 498	9
4	90,191	2538.0	− 2485	53	× 91 / 498	9.7
5	90,194	2524.8	− 2528	−3.2	× 75 / 498	−0.5
6	90,195	2575.3	− 2552	23.3	× 84 / 498	3.9
7	90,198	2557.9	− 2567	−9.1	× 89 / 498	−1.6
8	90,199	2573.5	− 2586	−12.5	× 78 / 498	−2
Sum, rounded to a whole point						19

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,802	2498.8	− 2436	62.8	× 79 / 490	10.1
4	90,803	2537.3	− 2485	52.3	× 82 / 490	8.8
5	90,804	2566.7	− 2528	38.7	× 93 / 490	7.3
6	90,805	2559.6	− 2552	7.6	× 69 / 490	1.1
7	90,806	2570.3	− 2567	3.3	× 87 / 490	0.6
8	90,807	2567.8	− 2586	−18.2	× 80 / 490	−3
Sum, rounded to a whole point						25

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,044	2490.9	− 2436	54.9	× 81 / 504	8.8
4	91,045	2500.3	− 2485	15.3	× 73 / 504	2.2
5	91,046	2534.9	− 2528	6.9	× 69 / 504	0.9
6	91,047	2553.7	− 2552	1.7	× 79 / 504	0.3
7	91,048	2565.2	− 2567	−1.8	× 100 / 504	−0.4
8	91,049	2587.5	− 2586	1.5	× 102 / 504	0.3
Sum, rounded to a whole point						12

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,934	2480.1	− 2436	44.1	× 74 / 513	6.4
4	90,935	2540.7	− 2485	55.7	× 84 / 513	9.1
5	90,936	2509.9	− 2528	−18.1	× 74 / 513	−2.6
6	90,937	2543.0	− 2552	−9	× 85 / 513	−1.5
7	90,938	2579.9	− 2567	12.9	× 97 / 513	2.4
8	90,939	2566.5	− 2586	−19.5	× 99 / 513	−3.8
Sum, rounded to a whole point						10

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,883	2478.6	− 2436	42.6	× 78 / 530	6.3
4	90,884	2508.7	− 2485	23.7	× 73 / 530	3.3
5	90,885	2547.3	− 2528	19.3	× 91 / 530	3.3
6	90,886	2521.6	− 2552	−30.4	× 89 / 530	−5.1
7	90,887	2576.2	− 2567	9.2	× 101 / 530	1.8
8	90,888	2590.1	− 2586	4.1	× 98 / 530	0.8
Sum, rounded to a whole point						10

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,577	2466.2	− 2436	30.2	× 78 / 531	4.4
4	90,578	2516.3	− 2485	31.3	× 88 / 531	5.2
5	90,579	2537.3	− 2528	9.3	× 79 / 531	1.4
6	90,580	2580.5	− 2552	28.5	× 92 / 531	4.9
7	90,581	2571.2	− 2567	4.2	× 94 / 531	0.7
8	90,582	2612.7	− 2586	26.7	× 100 / 531	5
Sum, rounded to a whole point						22

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	90,232	2456.6	− 2436	20.6	× 87 / 549	3.3
4	90,233	2500.5	− 2485	15.5	× 80 / 549	2.3
5	90,234	2544.5	− 2528	16.5	× 92 / 549	2.8
6	90,235	2543.3	− 2552	−8.7	× 89 / 549	−1.4
7	90,236	2597.0	− 2567	30	× 112 / 549	6.1
8	90,237	2581.0	− 2586	−5	× 89 / 549	−0.8
Sum, rounded to a whole point						12

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 16, 30, 24, 19, 25, 12, 10, 10, 22, 12 → 18
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 6 · 2017→2018: 5 · 2018→2019: 6 · 2019→2022: 13 · 2022→2023: 2 · 2023→2024: 0 · 2024→2025: 12 · 2025→2026: 10 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit 38.2, lower limit −2.2.

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.

Gravenstein Union Elementary