Berenece Carlson Home Hospital: 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.

Measured against the grade 3 bar

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 8.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2026, 7 of the 13 students who took the math test were English learners.

8th The average 8th grader scores 21 points under the grade 3 bar. 2416 vs. 2436. The 8th-grade bar is 2586.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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	33,450	2396.9	− 2436	−39.1	× 13 / 68	−7.5
6	33,455	2467.3	− 2552	−84.7	× 12 / 68	−14.9
7	33,458	2495.2	− 2567	−71.8	× 13 / 68	−13.7
8	33,459	2442.0	− 2586	−144	× 12 / 68	−25.4
11	33,462	2467.2	− 2628	−160.8	× 18 / 68	−42.6
Sum, rounded to a whole point						−104

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	31,644	2449.7	− 2552	−102.3	× 10 / 46	−22.2
7	31,645	2450.8	− 2567	−116.2	× 6 / 46	−15.2
8	31,647	2462.0	− 2586	−124	× 19 / 46	−51.2
11	31,649	2483.2	− 2628	−144.8	× 11 / 46	−34.6
Sum, rounded to a whole point						−123

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	32,195	2456.9	− 2528	−71.1	× 16 / 44	−25.9
7	32,198	2445.9	− 2567	−121.1	× 17 / 44	−46.8
8	32,201	2484.5	− 2586	−101.5	× 11 / 44	−25.4
Sum, rounded to a whole point						−98

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	32,223	2508.8	− 2552	−43.2	× 14 / 25	−24.2
11	32,229	2480.8	− 2628	−147.2	× 11 / 25	−64.8
Sum, rounded to a whole point						−89

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	32,404	2444.0	− 2485	−41	× 14 / 59	−9.7
5	32,405	2424.0	− 2528	−104	× 11 / 59	−19.4
8	32,408	2462.2	− 2586	−123.8	× 16 / 59	−33.6
11	32,409	2476.7	− 2628	−151.3	× 18 / 59	−46.2
Sum, rounded to a whole point						−109

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	32,209	2415.5	− 2586	−170.5	× 13 / 13	−170.5
Sum, rounded to a whole point						−171

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −104, −123, −98, −89, −109, −171 → −115.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 19 · 2016→2017: 25 · 2017→2018: 9 · 2018→2019: 20 · 2019→2026: 62 → average 27
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 27 × 2.66 = 71.8. Upper limit −43.9, lower limit −187.5.

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.