Renaissance At Mathson: 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
6	86,013	2495.6	− 2552	−56.4	× 93 / 275	−19.1
7	86,015	2530.3	− 2567	−36.7	× 94 / 275	−12.5
8	86,017	2492.8	− 2586	−93.2	× 88 / 275	−29.8
Sum, rounded to a whole point						−61

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	79,821	2566.7	− 2552	14.7	× 96 / 278	5.1
7	79,822	2551.5	− 2567	−15.5	× 91 / 278	−5.1
8	79,824	2561.1	− 2586	−24.9	× 91 / 278	−8.2
Sum, rounded to a whole point						−8

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,002	2532.7	− 2552	−19.3	× 85 / 273	−6
7	82,004	2615.6	− 2567	48.6	× 95 / 273	16.9
8	82,006	2540.0	− 2586	−46	× 93 / 273	−15.7
Sum, rounded to a whole point						−5

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,197	2502.2	− 2552	−49.8	× 81 / 251	−16.1
7	82,198	2561.7	− 2567	−5.3	× 78 / 251	−1.6
8	82,201	2644.8	− 2586	58.8	× 92 / 251	21.6
Sum, rounded to a whole point						4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,809	2482.2	− 2552	−69.8	× 98 / 262	−26.1
7	82,810	2537.4	− 2567	−29.6	× 81 / 262	−9.2
8	82,811	2599.4	− 2586	13.4	× 83 / 262	4.2
Sum, rounded to a whole point						−31

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,014	2416.3	− 2552	−135.7	× 137 / 462	−40.2
7	83,015	2474.0	− 2567	−93	× 152 / 462	−30.6
8	83,016	2464.1	− 2586	−121.9	× 173 / 462	−45.6
Sum, rounded to a whole point						−116

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,997	2437.5	− 2552	−114.5	× 109 / 383	−32.6
7	82,998	2429.6	− 2567	−137.4	× 128 / 383	−45.9
8	82,999	2471.0	− 2586	−115	× 146 / 383	−43.8
Sum, rounded to a whole point						−122

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	83,000	2391.6	− 2552	−160.4	× 96 / 319	−48.3
7	83,001	2451.0	− 2567	−116	× 103 / 319	−37.5
8	83,002	2456.9	− 2586	−129.1	× 120 / 319	−48.6
Sum, rounded to a whole point						−134

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,682	2415.6	− 2552	−136.4	× 106 / 314	−46
7	82,683	2438.0	− 2567	−129	× 103 / 314	−42.3
8	82,684	2489.0	− 2586	−97	× 105 / 314	−32.4
Sum, rounded to a whole point						−121

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −61, −8, −5, 4, −31, −116, −122, −134, −121 → −66
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 53 · 2016→2017: 3 · 2017→2018: 9 · 2018→2019: 35 · 2019→2022: 85 · 2022→2023: 6 · 2023→2024: 12 · 2024→2025: 13 → 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 5.8, lower limit −137.8.

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.