Stewart Elementary: math

The shaded band is this school'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	7,884	2425.7	− 2436	−10.3	× 46 / 323	−1.5
4	7,886	2449.7	− 2485	−35.3	× 53 / 323	−5.8
5	7,888	2494.8	− 2528	−33.2	× 60 / 323	−6.2
6	7,890	2506.1	− 2552	−45.9	× 55 / 323	−7.8
7	7,892	2505.0	− 2567	−62	× 52 / 323	−10
8	7,894	2509.5	− 2586	−76.5	× 57 / 323	−13.5
Sum, rounded to a whole point						−45

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,068	2413.7	− 2436	−22.3	× 43 / 314	−3.1
4	7,070	2461.5	− 2485	−23.5	× 50 / 314	−3.7
5	7,072	2476.8	− 2528	−51.2	× 52 / 314	−8.5
6	7,075	2502.1	− 2552	−49.9	× 63 / 314	−10
7	7,076	2518.7	− 2567	−48.3	× 56 / 314	−8.6
8	7,079	2503.1	− 2586	−82.9	× 50 / 314	−13.2
Sum, rounded to a whole point						−47

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,280	2417.2	− 2436	−18.8	× 44 / 291	−2.8
4	7,283	2443.4	− 2485	−41.6	× 39 / 291	−5.6
5	7,285	2468.7	− 2528	−59.3	× 49 / 291	−10
6	7,286	2479.2	− 2552	−72.8	× 54 / 291	−13.5
7	7,288	2520.4	− 2567	−46.6	× 58 / 291	−9.3
8	7,291	2514.0	− 2586	−72	× 47 / 291	−11.6
Sum, rounded to a whole point						−53

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,299	2397.1	− 2436	−38.9	× 56 / 311	−7
4	7,300	2448.4	− 2485	−36.6	× 48 / 311	−5.6
5	7,303	2411.4	− 2528	−116.6	× 55 / 311	−20.6
6	7,304	2491.9	− 2552	−60.1	× 56 / 311	−10.8
7	7,307	2476.3	− 2567	−90.7	× 44 / 311	−12.8
8	7,308	2501.9	− 2586	−84.1	× 52 / 311	−14.1
Sum, rounded to a whole point						−71

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,351	2426.5	− 2436	−9.5	× 58 / 312	−1.8
4	7,352	2444.6	− 2485	−40.4	× 52 / 312	−6.7
5	7,353	2441.2	− 2528	−86.8	× 50 / 312	−13.9
6	7,354	2456.5	− 2552	−95.5	× 51 / 312	−15.6
7	7,355	2493.4	− 2567	−73.6	× 56 / 312	−13.2
8	7,356	2497.6	− 2586	−88.4	× 45 / 312	−12.8
Sum, rounded to a whole point						−64

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,296	2401.9	− 2436	−34.1	× 37 / 253	−5
4	7,297	2442.5	− 2485	−42.5	× 48 / 253	−8.1
5	7,298	2438.9	− 2528	−89.1	× 34 / 253	−12
6	7,299	2477.9	− 2552	−74.1	× 52 / 253	−15.2
7	7,300	2448.1	− 2567	−118.9	× 42 / 253	−19.7
8	7,301	2462.7	− 2586	−123.3	× 40 / 253	−19.5
Sum, rounded to a whole point						−79

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,284	2405.8	− 2436	−30.2	× 38 / 256	−4.5
4	7,285	2432.5	− 2485	−52.5	× 38 / 256	−7.8
5	7,286	2477.0	− 2528	−51	× 44 / 256	−8.8
6	7,287	2475.8	− 2552	−76.2	× 34 / 256	−10.1
7	7,288	2489.8	− 2567	−77.2	× 56 / 256	−16.9
8	7,289	2452.2	− 2586	−133.8	× 46 / 256	−24
Sum, rounded to a whole point						−72

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,231	2419.8	− 2436	−16.2	× 37 / 254	−2.4
4	7,232	2468.2	− 2485	−16.8	× 40 / 254	−2.6
5	7,233	2471.8	− 2528	−56.2	× 39 / 254	−8.6
6	7,234	2490.1	− 2552	−61.9	× 47 / 254	−11.5
7	7,235	2481.3	− 2567	−85.7	× 36 / 254	−12.1
8	7,236	2520.0	− 2586	−66	× 55 / 254	−14.3
Sum, rounded to a whole point						−52

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	7,191	2411.0	− 2436	−25	× 37 / 232	−4
4	7,192	2468.4	− 2485	−16.6	× 39 / 232	−2.8
5	7,193	2499.6	− 2528	−28.4	× 41 / 232	−5
6	7,194	2453.6	− 2552	−98.4	× 36 / 232	−15.3
7	7,195	2521.9	− 2567	−45.1	× 43 / 232	−8.4
8	7,196	2513.4	− 2586	−72.6	× 36 / 232	−11.3
Sum, rounded to a whole point						−47

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −45, −47, −53, −71, −64, −79, −72, −52, −47 → −58.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 6 · 2017→2018: 18 · 2018→2019: 7 · 2019→2022: 15 · 2022→2023: 7 · 2023→2024: 20 · 2024→2025: 5 → average 10
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10 × 2.66 = 26.6. Upper limit −32.3, lower limit −85.5.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.