Smythe Academy Of Arts And Sciences: 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	63,292	2391.9	− 2436	−44.1	× 96 / 770	−5.5
4	63,295	2433.0	− 2485	−52	× 85 / 770	−5.7
5	63,296	2457.8	− 2528	−70.2	× 83 / 770	−7.6
6	63,299	2511.2	− 2552	−40.8	× 87 / 770	−4.6
7	63,300	2485.2	− 2567	−81.8	× 214 / 770	−22.7
8	63,303	2519.6	− 2586	−66.4	× 205 / 770	−17.7
Sum, rounded to a whole point						−64

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	58,710	2413.3	− 2436	−22.7	× 94 / 785	−2.7
4	58,711	2432.8	− 2485	−52.2	× 93 / 785	−6.2
5	58,713	2477.5	− 2528	−50.5	× 90 / 785	−5.8
6	58,715	2480.5	− 2552	−71.5	× 79 / 785	−7.2
7	58,717	2491.4	− 2567	−75.6	× 228 / 785	−22
8	58,719	2493.9	− 2586	−92.1	× 201 / 785	−23.6
Sum, rounded to a whole point						−67

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,423	2420.8	− 2436	−15.2	× 92 / 820	−1.7
4	60,425	2425.0	− 2485	−60	× 92 / 820	−6.7
5	60,426	2457.5	− 2528	−70.5	× 93 / 820	−8
6	60,428	2507.2	− 2552	−44.8	× 92 / 820	−5
7	60,430	2490.6	− 2567	−76.4	× 246 / 820	−22.9
8	60,433	2495.1	− 2586	−90.9	× 205 / 820	−22.7
Sum, rounded to a whole point						−67

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,547	2434.8	− 2436	−1.2	× 75 / 809	−0.1
4	60,550	2456.9	− 2485	−28.1	× 89 / 809	−3.1
5	60,551	2470.4	− 2528	−57.6	× 91 / 809	−6.5
6	60,554	2514.7	− 2552	−37.3	× 93 / 809	−4.3
7	60,555	2494.8	− 2567	−72.2	× 240 / 809	−21.4
8	60,558	2493.5	− 2586	−92.5	× 221 / 809	−25.3
Sum, rounded to a whole point						−61

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,801	2412.5	− 2436	−23.5	× 99 / 823	−2.8
4	60,802	2453.8	− 2485	−31.2	× 86 / 823	−3.3
5	60,803	2483.1	− 2528	−44.9	× 90 / 823	−4.9
6	60,804	2509.3	− 2552	−42.7	× 92 / 823	−4.8
7	60,805	2488.4	− 2567	−78.6	× 250 / 823	−23.9
8	60,806	2511.7	− 2586	−74.3	× 206 / 823	−18.6
Sum, rounded to a whole point						−58

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,899	2386.8	− 2436	−49.2	× 95 / 789	−5.9
4	60,900	2423.4	− 2485	−61.6	× 89 / 789	−6.9
5	60,901	2450.8	− 2528	−77.2	× 88 / 789	−8.6
6	60,902	2490.6	− 2552	−61.4	× 82 / 789	−6.4
7	60,903	2467.5	− 2567	−99.5	× 229 / 789	−28.9
8	60,904	2486.5	− 2586	−99.5	× 206 / 789	−26
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,846	2393.1	− 2436	−42.9	× 91 / 764	−5.1
4	60,847	2432.6	− 2485	−52.4	× 89 / 764	−6.1
5	60,848	2445.0	− 2528	−83	× 90 / 764	−9.8
6	60,849	2520.6	− 2552	−31.4	× 91 / 764	−3.7
7	60,850	2470.0	− 2567	−97	× 213 / 764	−27
8	60,851	2485.8	− 2586	−100.2	× 190 / 764	−24.9
Sum, rounded to a whole point						−77

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,791	2410.1	− 2436	−25.9	× 97 / 798	−3.1
4	60,792	2430.5	− 2485	−54.5	× 88 / 798	−6
5	60,793	2461.2	− 2528	−66.8	× 89 / 798	−7.5
6	60,794	2523.7	− 2552	−28.3	× 90 / 798	−3.2
7	60,795	2482.1	− 2567	−84.9	× 241 / 798	−25.6
8	60,796	2505.2	− 2586	−80.8	× 193 / 798	−19.5
Sum, rounded to a whole point						−65

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	60,560	2420.0	− 2436	−16	× 88 / 790	−1.8
4	60,561	2439.1	− 2485	−45.9	× 87 / 790	−5.1
5	60,562	2419.1	− 2528	−108.9	× 84 / 790	−11.6
6	60,563	2535.8	− 2552	−16.2	× 88 / 790	−1.8
7	60,564	2491.0	− 2567	−76	× 227 / 790	−21.8
8	60,565	2516.8	− 2586	−69.2	× 216 / 790	−18.9
Sum, rounded to a whole point						−61

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −64, −67, −67, −61, −58, −83, −77, −65, −61 → −67
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: 0 · 2017→2018: 6 · 2018→2019: 3 · 2019→2022: 25 · 2022→2023: 6 · 2023→2024: 12 · 2024→2025: 4 → average 7.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.4 × 2.66 = 19.7. Upper limit −47.3, lower limit −86.7.

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.