Anna Yates 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	862	2420.1	− 2436	−15.9	× 56 / 304	−2.9
4	865	2432.8	− 2485	−52.2	× 61 / 304	−10.5
5	866	2437.4	− 2528	−90.6	× 53 / 304	−15.8
6	869	2425.8	− 2552	−126.2	× 37 / 304	−15.4
7	870	2479.2	− 2567	−87.8	× 50 / 304	−14.4
8	873	2475.5	− 2586	−110.5	× 47 / 304	−17.1
Sum, rounded to a whole point						−76

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	710	2422.4	− 2436	−13.6	× 58 / 312	−2.5
4	713	2470.4	− 2485	−14.6	× 57 / 312	−2.7
5	715	2445.5	− 2528	−82.5	× 62 / 312	−16.4
6	716	2434.5	− 2552	−117.5	× 53 / 312	−20
7	719	2465.0	− 2567	−102	× 33 / 312	−10.8
8	721	2494.0	− 2586	−92	× 49 / 312	−14.4
Sum, rounded to a whole point						−67

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	753	2402.2	− 2436	−33.8	× 62 / 310	−6.8
4	754	2439.2	− 2485	−45.8	× 50 / 310	−7.4
5	757	2501.6	− 2528	−26.4	× 50 / 310	−4.3
6	759	2432.2	− 2552	−119.8	× 57 / 310	−22
7	760	2437.7	− 2567	−129.3	× 58 / 310	−24.2
8	763	2457.3	− 2586	−128.7	× 33 / 310	−13.7
Sum, rounded to a whole point						−78

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	776	2356.1	− 2436	−79.9	× 38 / 301	−10.1
4	778	2460.3	− 2485	−24.7	× 60 / 301	−4.9
5	780	2430.6	− 2528	−97.4	× 49 / 301	−15.9
6	782	2475.3	− 2552	−76.7	× 51 / 301	−13
7	784	2475.9	− 2567	−91.1	× 49 / 301	−14.8
8	786	2477.4	− 2586	−108.6	× 54 / 301	−19.5
Sum, rounded to a whole point						−78

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	805	2390.1	− 2436	−45.9	× 64 / 322	−9.1
4	806	2433.4	− 2485	−51.6	× 40 / 322	−6.4
5	807	2462.3	− 2528	−65.7	× 57 / 322	−11.6
6	808	2452.7	− 2552	−99.3	× 52 / 322	−16
7	809	2531.5	− 2567	−35.5	× 53 / 322	−5.8
8	810	2519.0	− 2586	−67	× 56 / 322	−11.7
Sum, rounded to a whole point						−61

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	803	2369.9	− 2436	−66.1	× 54 / 288	−12.4
4	804	2423.2	− 2485	−61.8	× 44 / 288	−9.4
5	805	2441.8	− 2528	−86.2	× 45 / 288	−13.5
6	806	2434.2	− 2552	−117.8	× 58 / 288	−23.7
7	807	2455.8	− 2567	−111.2	× 31 / 288	−12
8	808	2476.0	− 2586	−110	× 56 / 288	−21.4
Sum, rounded to a whole point						−92

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	807	2395.1	− 2436	−40.9	× 46 / 259	−7.3
4	808	2433.7	− 2485	−51.3	× 52 / 259	−10.3
5	809	2467.1	− 2528	−60.9	× 37 / 259	−8.7
6	810	2443.1	− 2552	−108.9	× 42 / 259	−17.7
7	811	2470.9	− 2567	−96.1	× 49 / 259	−18.2
8	812	2442.6	− 2586	−143.4	× 33 / 259	−18.3
Sum, rounded to a whole point						−80

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	807	2382.4	− 2436	−53.6	× 46 / 279	−8.8
4	808	2458.9	− 2485	−26.1	× 41 / 279	−3.8
5	809	2481.4	− 2528	−46.6	× 53 / 279	−8.9
6	810	2429.9	− 2552	−122.1	× 50 / 279	−21.9
7	811	2457.6	− 2567	−109.4	× 39 / 279	−15.3
8	812	2464.2	− 2586	−121.8	× 50 / 279	−21.8
Sum, rounded to a whole point						−81

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	799	2397.2	− 2436	−38.8	× 33 / 266	−4.8
4	800	2453.8	− 2485	−31.2	× 53 / 266	−6.2
5	801	2451.4	− 2528	−76.6	× 42 / 266	−12.1
6	802	2427.7	− 2552	−124.3	× 51 / 266	−23.8
7	803	2466.9	− 2567	−100.1	× 47 / 266	−17.7
8	804	2473.9	− 2586	−112.1	× 40 / 266	−16.9
Sum, rounded to a whole point						−82

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −76, −67, −78, −78, −61, −92, −80, −81, −82 → −77.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 11 · 2017→2018: 0 · 2018→2019: 17 · 2019→2022: 31 · 2022→2023: 12 · 2023→2024: 1 · 2024→2025: 1 → average 10.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.3 × 2.66 = 27.4. Upper limit −49.8, lower limit −104.6.

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.