Keith Mccarthy Academy: 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
11	58,917	2461.4	− 2628	−166.6	× 69 / 69	−166.6
Sum, rounded to a whole point						−167

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	54,681	2457.1	− 2552	−94.9	× 17 / 127	−12.7
7	54,683	2464.0	− 2567	−103	× 16 / 127	−13
8	54,686	2461.5	− 2586	−124.5	× 18 / 127	−17.6
11	54,687	2468.1	− 2628	−159.9	× 76 / 127	−95.7
Sum, rounded to a whole point						−139

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,275	2493.1	− 2567	−73.9	× 22 / 100	−16.3
8	56,276	2455.5	− 2586	−130.5	× 23 / 100	−30
11	56,279	2472.6	− 2628	−155.4	× 55 / 100	−85.5
Sum, rounded to a whole point						−132

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,372	2426.0	− 2552	−126	× 11 / 127	−10.9
7	56,373	2445.7	− 2567	−121.3	× 19 / 127	−18.1
8	56,376	2442.2	− 2586	−143.8	× 38 / 127	−43
11	56,377	2461.9	− 2628	−166.1	× 59 / 127	−77.2
Sum, rounded to a whole point						−149

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	56,632	2400.2	− 2567	−166.8	× 19 / 104	−30.5
8	56,633	2441.2	− 2586	−144.8	× 23 / 104	−32
11	56,634	2480.0	− 2628	−148	× 62 / 104	−88.2
Sum, rounded to a whole point						−151

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	56,703	2427.0	− 2552	−125	× 78 / 365	−26.7
7	56,704	2437.6	− 2567	−129.4	× 60 / 365	−21.3
8	56,705	2416.1	− 2586	−169.9	× 81 / 365	−37.7
11	56,706	2470.5	− 2628	−157.5	× 146 / 365	−63
Sum, rounded to a whole point						−149

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,665	2355.6	− 2436	−80.4	× 33 / 353	−7.5
4	56,666	2396.8	− 2485	−88.2	× 28 / 353	−7
5	56,667	2404.6	− 2528	−123.4	× 32 / 353	−11.2
6	56,668	2412.7	− 2552	−139.3	× 41 / 353	−16.2
7	56,669	2435.0	− 2567	−132	× 59 / 353	−22.1
8	56,670	2426.6	− 2586	−159.4	× 56 / 353	−25.3
11	56,671	2442.5	− 2628	−185.5	× 104 / 353	−54.7
Sum, rounded to a whole point						−144

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,553	2350.3	− 2436	−85.7	× 18 / 325	−4.7
4	56,554	2419.2	− 2485	−65.8	× 25 / 325	−5.1
5	56,555	2432.2	− 2528	−95.8	× 20 / 325	−5.9
6	56,556	2427.7	− 2552	−124.3	× 30 / 325	−11.5
7	56,557	2410.0	− 2567	−157	× 53 / 325	−25.6
8	56,558	2437.6	− 2586	−148.4	× 53 / 325	−24.2
11	56,559	2469.7	− 2628	−158.3	× 126 / 325	−61.4
Sum, rounded to a whole point						−138

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	56,309	2386.9	− 2436	−49.1	× 13 / 211	−3
4	56,310	2376.5	− 2485	−108.5	× 14 / 211	−7.2
5	56,311	2461.1	− 2528	−66.9	× 15 / 211	−4.8
6	56,312	2416.9	− 2552	−135.1	× 30 / 211	−19.2
7	56,313	2433.8	− 2567	−133.2	× 36 / 211	−22.7
8	56,314	2422.6	− 2586	−163.4	× 43 / 211	−33.3
11	56,315	2455.2	− 2628	−172.8	× 60 / 211	−49.1
Sum, rounded to a whole point						−139

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −167, −139, −132, −149, −151, −149, −144, −138, −139 → −145.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 28 · 2016→2017: 7 · 2017→2018: 17 · 2018→2019: 2 · 2019→2022: 2 · 2022→2023: 5 · 2023→2024: 6 · 2024→2025: 1 → average 8.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.5 × 2.66 = 22.6. Upper limit −122.7, lower limit −167.9.

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