August 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	80,699	2394.9	− 2436	−41.1	× 66 / 423	−6.4
4	80,701	2419.8	− 2485	−65.2	× 68 / 423	−10.5
5	80,703	2430.7	− 2528	−97.3	× 93 / 423	−21.4
6	80,705	2444.6	− 2552	−107.4	× 70 / 423	−17.8
7	80,707	2470.1	− 2567	−96.9	× 66 / 423	−15.1
8	80,709	2535.1	− 2586	−50.9	× 60 / 423	−7.2
Sum, rounded to a whole point						−78

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	74,801	2395.3	− 2436	−40.7	× 91 / 432	−8.6
4	74,802	2435.7	− 2485	−49.3	× 64 / 432	−7.3
5	74,805	2422.1	− 2528	−105.9	× 65 / 432	−15.9
6	74,807	2457.7	− 2552	−94.3	× 90 / 432	−19.6
7	74,808	2467.7	− 2567	−99.3	× 61 / 432	−14
8	74,810	2521.7	− 2586	−64.3	× 61 / 432	−9.1
Sum, rounded to a whole point						−75

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,809	2426.1	− 2436	−9.9	× 58 / 367	−1.6
4	76,812	2432.7	− 2485	−52.3	× 73 / 367	−10.4
5	76,813	2441.3	− 2528	−86.7	× 58 / 367	−13.7
6	76,816	2455.0	− 2552	−97	× 65 / 367	−17.2
7	76,817	2475.3	− 2567	−91.7	× 61 / 367	−15.2
8	76,819	2509.1	− 2586	−76.9	× 52 / 367	−10.9
Sum, rounded to a whole point						−69

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,998	2409.5	− 2436	−26.5	× 53 / 353	−4
4	77,000	2439.8	− 2485	−45.2	× 62 / 353	−7.9
5	77,002	2442.4	− 2528	−85.6	× 66 / 353	−16
6	77,004	2477.4	− 2552	−74.6	× 54 / 353	−11.4
7	77,006	2482.0	− 2567	−85	× 61 / 353	−14.7
8	77,008	2530.1	− 2586	−55.9	× 57 / 353	−9
Sum, rounded to a whole point						−63

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,521	2428.7	− 2436	−7.3	× 49 / 328	−1.1
4	77,522	2435.4	− 2485	−49.6	× 58 / 328	−8.8
5	77,523	2460.9	− 2528	−67.1	× 56 / 328	−11.5
6	77,524	2461.0	− 2552	−91	× 62 / 328	−17.2
7	77,525	2534.3	− 2567	−32.7	× 47 / 328	−4.7
8	77,526	2539.7	− 2586	−46.3	× 56 / 328	−7.9
Sum, rounded to a whole point						−51

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,671	2361.5	− 2436	−74.5	× 65 / 367	−13.2
4	77,672	2412.5	− 2485	−72.5	× 68 / 367	−13.4
5	77,673	2428.8	− 2528	−99.2	× 63 / 367	−17
6	77,674	2434.7	− 2552	−117.3	× 54 / 367	−17.3
7	77,675	2442.1	− 2567	−124.9	× 54 / 367	−18.4
8	77,676	2449.9	− 2586	−136.1	× 63 / 367	−23.4
Sum, rounded to a whole point						−103

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,663	2381.0	− 2436	−55	× 60 / 354	−9.3
4	77,664	2422.9	− 2485	−62.1	× 62 / 354	−10.9
5	77,665	2431.7	− 2528	−96.3	× 64 / 354	−17.4
6	77,666	2452.5	− 2552	−99.5	× 64 / 354	−18
7	77,667	2453.4	− 2567	−113.6	× 51 / 354	−16.4
8	77,668	2448.5	− 2586	−137.5	× 53 / 354	−20.6
Sum, rounded to a whole point						−93

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,681	2392.8	− 2436	−43.2	× 48 / 327	−6.3
4	77,682	2426.6	− 2485	−58.4	× 59 / 327	−10.5
5	77,683	2443.3	− 2528	−84.7	× 65 / 327	−16.8
6	77,684	2462.3	− 2552	−89.7	× 52 / 327	−14.3
7	77,685	2478.2	− 2567	−88.8	× 54 / 327	−14.7
8	77,686	2476.1	− 2586	−109.9	× 49 / 327	−16.5
Sum, rounded to a whole point						−79

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,343	2375.7	− 2436	−60.3	× 50 / 319	−9.5
4	77,344	2424.4	− 2485	−60.6	× 52 / 319	−9.9
5	77,345	2453.7	− 2528	−74.3	× 59 / 319	−13.7
6	77,346	2462.0	− 2552	−90	× 62 / 319	−17.5
7	77,347	2512.0	− 2567	−55	× 45 / 319	−7.8
8	77,348	2453.4	− 2586	−132.6	× 51 / 319	−21.2
Sum, rounded to a whole point						−80

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −78, −75, −69, −63, −51, −103, −93, −79, −80 → −76.8
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: 6 · 2017→2018: 6 · 2018→2019: 12 · 2019→2022: 52 · 2022→2023: 10 · 2023→2024: 14 · 2024→2025: 1 → average 13
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13 × 2.66 = 34.6. Upper limit −42.2, lower limit −111.4.

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.