Brittan Elementary: math

The shaded band is this district'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	98,485	2422.4	− 2436	−13.6	× 49 / 300	−2.2
4	98,486	2452.0	− 2485	−33	× 58 / 300	−6.4
5	98,489	2475.3	− 2528	−52.7	× 38 / 300	−6.7
6	98,490	2510.8	− 2552	−41.2	× 47 / 300	−6.5
7	98,493	2547.0	− 2567	−20	× 55 / 300	−3.7
8	98,494	2542.9	− 2586	−43.1	× 53 / 300	−7.6
Sum, rounded to a whole point						−33

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,214	2405.9	− 2436	−30.1	× 49 / 322	−4.6
4	91,217	2460.0	− 2485	−25	× 54 / 322	−4.2
5	91,218	2479.6	− 2528	−48.4	× 63 / 322	−9.5
6	91,220	2524.3	− 2552	−27.7	× 44 / 322	−3.8
7	91,222	2524.3	− 2567	−42.7	× 59 / 322	−7.8
8	91,225	2575.5	− 2586	−10.5	× 53 / 322	−1.7
Sum, rounded to a whole point						−32

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,977	2413.4	− 2436	−22.6	× 40 / 304	−3
4	93,979	2442.4	− 2485	−42.6	× 45 / 304	−6.3
5	93,980	2500.5	− 2528	−27.5	× 54 / 304	−4.9
6	93,982	2517.0	− 2552	−35	× 62 / 304	−7.1
7	93,985	2531.4	− 2567	−35.6	× 47 / 304	−5.5
8	93,987	2534.6	− 2586	−51.4	× 56 / 304	−9.5
Sum, rounded to a whole point						−36

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,189	2410.8	− 2436	−25.2	× 43 / 306	−3.5
4	94,192	2453.8	− 2485	−31.2	× 43 / 306	−4.4
5	94,193	2486.1	− 2528	−41.9	× 51 / 306	−7
6	94,196	2523.7	− 2552	−28.3	× 56 / 306	−5.2
7	94,197	2536.9	− 2567	−30.1	× 62 / 306	−6.1
8	94,200	2535.5	− 2586	−50.5	× 51 / 306	−8.4
Sum, rounded to a whole point						−35

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,824	2412.0	− 2436	−24	× 44 / 304	−3.5
4	94,825	2467.6	− 2485	−17.4	× 43 / 304	−2.5
5	94,826	2497.2	− 2528	−30.8	× 46 / 304	−4.7
6	94,827	2493.1	− 2552	−58.9	× 53 / 304	−10.3
7	94,828	2538.1	− 2567	−28.9	× 57 / 304	−5.4
8	94,829	2537.1	− 2586	−48.9	× 61 / 304	−9.8
Sum, rounded to a whole point						−36

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,803	2410.1	− 2436	−25.9	× 42 / 262	−4.2
4	92,804	2464.9	− 2485	−20.1	× 48 / 262	−3.7
5	92,805	2465.5	− 2528	−62.5	× 40 / 262	−9.5
6	92,806	2487.1	− 2552	−64.9	× 41 / 262	−10.2
7	92,807	2499.5	− 2567	−67.5	× 46 / 262	−11.9
8	92,808	2508.0	− 2586	−78	× 45 / 262	−13.4
Sum, rounded to a whole point						−53

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,062	2408.2	− 2436	−27.8	× 45 / 270	−4.6
4	95,063	2454.5	− 2485	−30.5	× 40 / 270	−4.5
5	95,064	2489.5	− 2528	−38.5	× 51 / 270	−7.3
6	95,065	2471.7	− 2552	−80.3	× 40 / 270	−11.9
7	95,066	2503.6	− 2567	−63.4	× 46 / 270	−10.8
8	95,067	2542.4	− 2586	−43.6	× 48 / 270	−7.8
Sum, rounded to a whole point						−47

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,958	2385.2	− 2436	−50.8	× 58 / 294	−10
4	94,959	2456.5	− 2485	−28.5	× 47 / 294	−4.6
5	94,960	2465.0	− 2528	−63	× 44 / 294	−9.4
6	94,961	2493.6	− 2552	−58.4	× 57 / 294	−11.3
7	94,962	2508.1	− 2567	−58.9	× 42 / 294	−8.4
8	94,963	2527.0	− 2586	−59	× 46 / 294	−9.2
Sum, rounded to a whole point						−53

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,827	2403.8	− 2436	−32.2	× 39 / 301	−4.2
4	94,828	2453.0	− 2485	−32	× 60 / 301	−6.4
5	94,829	2444.9	− 2528	−83.1	× 50 / 301	−13.8
6	94,830	2509.1	− 2552	−42.9	× 48 / 301	−6.8
7	94,831	2519.1	− 2567	−47.9	× 64 / 301	−10.2
8	94,832	2521.1	− 2586	−64.9	× 40 / 301	−8.6
Sum, rounded to a whole point						−50

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,561	2370.0	− 2436	−66	× 61 / 326	−12.3
4	94,562	2481.7	− 2485	−3.3	× 38 / 326	−0.4
5	94,563	2461.7	− 2528	−66.3	× 63 / 326	−12.8
6	94,564	2516.1	− 2552	−35.9	× 44 / 326	−4.8
7	94,565	2507.3	− 2567	−59.7	× 53 / 326	−9.7
8	94,566	2527.8	− 2586	−58.2	× 67 / 326	−12
Sum, rounded to a whole point						−52

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −33, −32, −36, −35, −36, −53, −47, −53, −50, −52 → −42.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 4 · 2017→2018: 1 · 2018→2019: 1 · 2019→2021: 17 · 2021→2022: 6 · 2022→2023: 6 · 2023→2024: 3 · 2024→2025: 2 → average 4.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.6 × 2.66 = 12.2. Upper limit −30.5, lower limit −54.9.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Schools in Brittan Elementary

Brittan Elementary