Houston: math · Schoolio

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 6.

3rd The average 3rd grader scores 90 points under the grade 3 bar. 2347 vs. 2436.
5th The average 5th grader scores 41 points under the grade 3 bar. 2396 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores just under the grade 3 bar. 2433 vs. 2436. The 6th-grade bar is 2552.

2024 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	79,391	2402.9	− 2436	−33.1	× 12 / 141	−2.8
4	79,392	2442.5	− 2485	−42.5	× 19 / 141	−5.7
5	79,395	2491.1	− 2528	−36.9	× 11 / 141	−2.9
6	79,396	2417.4	− 2552	−134.6	× 16 / 141	−15.3
7	79,399	2452.5	− 2567	−114.5	× 49 / 141	−39.8
8	79,400	2487.5	− 2586	−98.5	× 34 / 141	−23.8
Sum, rounded to a whole point						−90

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,572	2363.8	− 2436	−72.2	× 13 / 153	−6.1
4	73,575	2443.4	− 2485	−41.6	× 15 / 153	−4.1
5	73,577	2422.7	− 2528	−105.3	× 19 / 153	−13.1
6	73,578	2504.5	− 2552	−47.5	× 15 / 153	−4.7
7	73,581	2469.6	− 2567	−97.4	× 40 / 153	−25.5
8	73,582	2447.5	− 2586	−138.5	× 51 / 153	−46.2
Sum, rounded to a whole point						−100

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,549	2391.4	− 2436	−44.6	× 22 / 148	−6.6
4	75,551	2411.6	− 2485	−73.4	× 12 / 148	−6
5	75,553	2423.5	− 2528	−104.5	× 13 / 148	−9.2
6	75,556	2453.1	− 2552	−98.9	× 18 / 148	−12
7	75,558	2486.0	− 2567	−81	× 45 / 148	−24.6
8	75,559	2497.0	− 2586	−89	× 38 / 148	−22.9
Sum, rounded to a whole point						−81

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,736	2336.7	− 2436	−99.3	× 22 / 150	−14.6
4	75,739	2400.7	− 2485	−84.3	× 20 / 150	−11.2
5	75,740	2395.3	− 2528	−132.7	× 12 / 150	−10.6
6	75,743	2419.7	− 2552	−132.3	× 15 / 150	−13.2
7	75,744	2482.1	− 2567	−84.9	× 37 / 150	−20.9
8	75,747	2527.9	− 2586	−58.1	× 44 / 150	−17
Sum, rounded to a whole point						−88

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	76,262	2385.9	− 2485	−99.1	× 18 / 103	−17.3
5	76,263	2390.6	− 2528	−137.4	× 20 / 103	−26.7
7	76,265	2454.8	− 2567	−112.2	× 34 / 103	−37
8	76,266	2512.4	− 2586	−73.6	× 31 / 103	−22.2
Sum, rounded to a whole point						−103

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	74,839	2416.5	− 2485	−68.5	× 11 / 64	−11.8
6	74,841	2407.6	− 2552	−144.4	× 17 / 64	−38.4
7	74,842	2445.4	− 2567	−121.6	× 18 / 64	−34.2
8	74,843	2437.4	− 2586	−148.6	× 18 / 64	−41.8
Sum, rounded to a whole point						−126

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,429	2365.7	− 2436	−70.3	× 12 / 113	−7.5
4	76,430	2428.0	− 2485	−57	× 14 / 113	−7.1
6	76,432	2466.0	− 2552	−86	× 18 / 113	−13.7
7	76,433	2417.5	− 2567	−149.5	× 42 / 113	−55.6
8	76,434	2393.0	− 2586	−193	× 27 / 113	−46.1
Sum, rounded to a whole point						−130

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	76,414	2388.2	− 2485	−96.8	× 15 / 114	−12.7
5	76,415	2430.9	− 2528	−97.1	× 20 / 114	−17
6	76,416	2458.7	− 2552	−93.3	× 11 / 114	−9
7	76,417	2445.5	− 2567	−121.5	× 29 / 114	−30.9
8	76,418	2429.0	− 2586	−157	× 39 / 114	−53.7
Sum, rounded to a whole point						−123

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,400	2346.5	− 2436	−89.5	× 12 / 39	−27.5
5	76,402	2395.5	− 2528	−132.5	× 12 / 39	−40.8
6	76,403	2432.6	− 2552	−119.4	× 15 / 39	−45.9
Sum, rounded to a whole point						−114

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −90, −100, −81, −88, −103, −126, −130, −123, −114 → −106.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 19 · 2017→2018: 7 · 2018→2019: 15 · 2019→2021: 23 · 2021→2022: 4 · 2022→2023: 7 · 2023→2024: 9 → average 11.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.8 × 2.66 = 31.4. Upper limit −74.7, lower limit −137.5.

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.