Crest Elementary: 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
3	70,208	2402.3	− 2436	−33.7	× 19 / 69	−9.3
4	70,210	2477.9	− 2485	−7.1	× 25 / 69	−2.6
5	70,212	2484.0	− 2528	−44	× 25 / 69	−15.9
Sum, rounded to a whole point						−28

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,086	2396.9	− 2436	−39.1	× 33 / 78	−16.5
4	65,088	2467.6	− 2485	−17.4	× 19 / 78	−4.2
5	65,090	2520.8	− 2528	−7.2	× 26 / 78	−2.4
Sum, rounded to a whole point						−23

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	66,902	2390.5	− 2436	−45.5	× 19 / 66	−13.1
4	66,903	2436.7	− 2485	−48.3	× 27 / 66	−19.8
5	66,905	2485.6	− 2528	−42.4	× 20 / 66	−12.8
Sum, rounded to a whole point						−46

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,006	2424.8	− 2436	−11.2	× 19 / 62	−3.4
4	67,007	2468.2	− 2485	−16.8	× 18 / 62	−4.9
5	67,010	2465.1	− 2528	−62.9	× 25 / 62	−25.4
Sum, rounded to a whole point						−34

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,502	2452.4	− 2436	16.4	× 16 / 43	6.1
4	67,503	2409.6	− 2485	−75.4	× 12 / 43	−21
5	67,504	2484.4	− 2528	−43.6	× 15 / 43	−15.2
Sum, rounded to a whole point						−30

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,641	2409.8	− 2436	−26.2	× 26 / 169	−4
4	67,642	2446.7	− 2485	−38.3	× 26 / 169	−5.9
5	67,643	2416.1	− 2528	−111.9	× 28 / 169	−18.5
6	67,644	2493.5	− 2552	−58.5	× 36 / 169	−12.5
7	67,645	2515.3	− 2567	−51.7	× 27 / 169	−8.3
8	67,646	2495.8	− 2586	−90.2	× 26 / 169	−13.9
Sum, rounded to a whole point						−63

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,657	2427.7	− 2436	−8.3	× 29 / 181	−1.3
4	67,658	2422.3	− 2485	−62.7	× 32 / 181	−11.1
5	67,659	2423.7	− 2528	−104.3	× 28 / 181	−16.1
6	67,660	2435.5	− 2552	−116.5	× 35 / 181	−22.5
7	67,661	2517.9	− 2567	−49.1	× 38 / 181	−10.3
8	67,662	2504.5	− 2586	−81.5	× 19 / 181	−8.6
Sum, rounded to a whole point						−70

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,651	2401.7	− 2436	−34.3	× 32 / 176	−6.2
4	67,652	2418.7	− 2485	−66.3	× 29 / 176	−10.9
5	67,653	2431.9	− 2528	−96.1	× 34 / 176	−18.6
6	67,654	2470.5	− 2552	−81.5	× 25 / 176	−11.6
7	67,655	2426.9	− 2567	−140.1	× 27 / 176	−21.5
8	67,656	2516.0	− 2586	−70	× 29 / 176	−11.5
Sum, rounded to a whole point						−80

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,409	2389.4	− 2436	−46.6	× 25 / 190	−6.1
4	67,410	2445.7	− 2485	−39.3	× 34 / 190	−7
5	67,411	2441.9	− 2528	−86.1	× 35 / 190	−15.9
6	67,412	2467.2	− 2552	−84.8	× 41 / 190	−18.3
7	67,413	2471.5	− 2567	−95.5	× 34 / 190	−17.1
8	67,414	2474.7	− 2586	−111.3	× 21 / 190	−12.3
Sum, rounded to a whole point						−77

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −28, −23, −46, −34, −30, −63, −70, −80, −77 → −50.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 23 · 2017→2018: 12 · 2018→2019: 4 · 2019→2022: 33 · 2022→2023: 7 · 2023→2024: 10 · 2024→2025: 3 → average 12.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.1 × 2.66 = 32.2. Upper limit −17.9, lower limit −82.3.

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.