Gratton Elementary: english

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	96,729	2492.3	− 2432	60.3	× 15 / 87	10.4
4	96,730	2503.8	− 2473	30.8	× 14 / 87	5
5	96,733	2515.6	− 2502	13.6	× 15 / 87	2.3
6	96,734	2527.1	− 2531	−3.9	× 15 / 87	−0.7
7	96,737	2569.4	− 2552	17.4	× 15 / 87	3
8	96,738	2562.8	− 2567	−4.2	× 13 / 87	−0.6
Sum, rounded to a whole point						19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	89,690	2445.8	− 2432	13.8	× 13 / 89	2
4	89,693	2508.6	− 2473	35.6	× 16 / 89	6.4
5	89,694	2511.9	− 2502	9.9	× 15 / 89	1.7
6	89,697	2532.1	− 2531	1.1	× 15 / 89	0.2
7	89,698	2583.7	− 2552	31.7	× 14 / 89	5
8	89,701	2603.1	− 2567	36.1	× 16 / 89	6.5
Sum, rounded to a whole point						22

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,314	2451.7	− 2432	19.7	× 16 / 89	3.5
4	92,316	2476.3	− 2473	3.3	× 14 / 89	0.5
5	92,319	2524.9	− 2502	22.9	× 16 / 89	4.1
6	92,321	2534.6	− 2531	3.6	× 14 / 89	0.6
7	92,323	2594.1	− 2552	42.1	× 14 / 89	6.6
8	92,324	2560.0	− 2567	−7	× 15 / 89	−1.2
Sum, rounded to a whole point						14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,512	2489.9	− 2432	57.9	× 15 / 89	9.8
4	92,513	2473.9	− 2473	0.9	× 16 / 89	0.2
5	92,516	2509.9	− 2502	7.9	× 16 / 89	1.4
6	92,517	2572.5	− 2531	41.5	× 16 / 89	7.5
7	92,520	2590.5	− 2552	38.5	× 13 / 89	5.6
8	92,521	2553.3	− 2567	−13.7	× 13 / 89	−2
Sum, rounded to a whole point						22

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,138	2455.1	− 2432	23.1	× 19 / 93	4.7
4	93,139	2540.3	− 2473	67.3	× 14 / 93	10.1
5	93,140	2523.7	− 2502	21.7	× 15 / 93	3.5
6	93,141	2554.5	− 2531	23.5	× 16 / 93	4
7	93,142	2607.7	− 2552	55.7	× 15 / 93	9
8	93,143	2595.2	− 2567	28.2	× 14 / 93	4.2
Sum, rounded to a whole point						36

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,163	2419.0	− 2432	−13	× 15 / 94	−2.1
4	91,164	2528.1	− 2473	55.1	× 16 / 94	9.4
5	91,165	2554.2	− 2502	52.2	× 20 / 94	11.1
6	91,166	2585.7	− 2531	54.7	× 14 / 94	8.1
7	91,167	2601.8	− 2552	49.8	× 16 / 94	8.5
8	91,168	2622.4	− 2567	55.4	× 13 / 94	7.7
Sum, rounded to a whole point						43

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,373	2458.9	− 2432	26.9	× 16 / 94	4.6
4	93,374	2528.8	− 2473	55.8	× 16 / 94	9.5
5	93,375	2547.4	− 2502	45.4	× 15 / 94	7.2
6	93,376	2520.1	− 2531	−10.9	× 19 / 94	−2.2
7	93,377	2609.3	− 2552	57.3	× 12 / 94	7.3
8	93,378	2587.3	− 2567	20.3	× 16 / 94	3.5
Sum, rounded to a whole point						30

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,267	2477.7	− 2432	45.7	× 14 / 91	7
4	93,268	2485.6	− 2473	12.6	× 16 / 91	2.2
5	93,269	2583.4	− 2502	81.4	× 17 / 91	15.2
6	93,270	2540.0	− 2531	9	× 14 / 91	1.4
7	93,271	2568.8	− 2552	16.8	× 17 / 91	3.1
8	93,272	2602.7	− 2567	35.7	× 13 / 91	5.1
Sum, rounded to a whole point						34

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,162	2423.4	− 2432	−8.6	× 17 / 84	−1.7
4	93,163	2536.7	− 2473	63.7	× 13 / 84	9.9
5	93,164	2578.5	− 2502	76.5	× 15 / 84	13.7
6	93,165	2548.4	− 2531	17.4	× 16 / 84	3.3
7	93,166	2502.7	− 2552	−49.3	× 11 / 84	−6.5
8	93,167	2610.6	− 2567	43.6	× 12 / 84	6.2
Sum, rounded to a whole point						25

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,888	2444.1	− 2432	12.1	× 16 / 87	2.2
4	92,889	2455.4	− 2473	−17.6	× 16 / 87	−3.2
5	92,890	2544.5	− 2502	42.5	× 13 / 87	6.4
6	92,891	2568.9	− 2531	37.9	× 14 / 87	6.1
7	92,892	2599.5	− 2552	47.5	× 16 / 87	8.7
8	92,893	2573.6	− 2567	6.6	× 12 / 87	0.9
Sum, rounded to a whole point						21

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 19, 22, 14, 22, 36, 43, 30, 34, 25, 21 → 26.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 8 · 2017→2018: 8 · 2018→2019: 14 · 2019→2021: 7 · 2021→2022: 13 · 2022→2023: 4 · 2023→2024: 9 · 2024→2025: 4 → average 7.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.8 × 2.66 = 20.7. Upper limit 47.3, lower limit 5.9.

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.

Schools in Gratton Elementary

Gratton Charter Charter