Willow Glen 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	101,822	2430.1	− 2436	−5.9	× 80 / 385	−1.2
4	101,823	2443.1	− 2485	−41.9	× 69 / 385	−7.5
5	101,826	2480.6	− 2528	−47.4	× 84 / 385	−10.3
6	101,827	2498.0	− 2552	−54	× 95 / 385	−13.3
7	101,830	2491.0	− 2567	−76	× 31 / 385	−6.1
8	101,831	2507.8	− 2586	−78.2	× 26 / 385	−5.3
Sum, rounded to a whole point						−44

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,534	2409.3	− 2436	−26.7	× 59 / 354	−4.5
4	94,536	2441.6	− 2485	−43.4	× 76 / 354	−9.3
5	94,537	2464.1	− 2528	−63.9	× 63 / 354	−11.4
6	94,540	2508.9	− 2552	−43.1	× 85 / 354	−10.3
7	94,542	2499.7	− 2567	−67.3	× 48 / 354	−9.1
8	94,544	2483.6	− 2586	−102.4	× 23 / 354	−6.7
Sum, rounded to a whole point						−51

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,314	2414.2	− 2436	−21.8	× 86 / 362	−5.2
4	97,316	2411.2	− 2485	−73.8	× 70 / 362	−14.3
5	97,319	2461.0	− 2528	−67	× 70 / 362	−13
6	97,321	2487.2	− 2552	−64.8	× 67 / 362	−12
7	97,322	2433.6	− 2567	−133.4	× 32 / 362	−11.8
8	97,325	2531.6	− 2586	−54.4	× 37 / 362	−5.6
Sum, rounded to a whole point						−62

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,494	2409.9	− 2436	−26.1	× 92 / 379	−6.3
4	97,495	2430.7	− 2485	−54.3	× 83 / 379	−11.9
5	97,498	2442.9	− 2528	−85.1	× 75 / 379	−16.8
6	97,499	2502.1	− 2552	−49.9	× 75 / 379	−9.9
7	97,502	2435.6	− 2567	−131.4	× 29 / 379	−10.1
8	97,503	2445.3	− 2586	−140.7	× 25 / 379	−9.3
Sum, rounded to a whole point						−64

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,148	2397.6	− 2436	−38.4	× 74 / 346	−8.2
4	98,149	2434.5	− 2485	−50.5	× 76 / 346	−11.1
5	98,150	2457.1	− 2528	−70.9	× 73 / 346	−15
6	98,151	2485.6	− 2552	−66.4	× 76 / 346	−14.6
7	98,152	2439.2	− 2567	−127.8	× 25 / 346	−9.2
8	98,153	2469.5	− 2586	−116.5	× 22 / 346	−7.4
Sum, rounded to a whole point						−65

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,348	2372.4	− 2436	−63.6	× 77 / 335	−14.6
4	98,349	2402.7	− 2485	−82.3	× 58 / 335	−14.2
5	98,350	2411.1	− 2528	−116.9	× 64 / 335	−22.3
6	98,351	2481.8	− 2552	−70.2	× 80 / 335	−16.8
7	98,352	2443.4	− 2567	−123.6	× 29 / 335	−10.7
8	98,353	2441.5	− 2586	−144.5	× 27 / 335	−11.6
Sum, rounded to a whole point						−90

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,191	2352.5	− 2436	−83.5	× 66 / 312	−17.7
4	98,192	2418.6	− 2485	−66.4	× 71 / 312	−15.1
5	98,193	2436.4	− 2528	−91.6	× 55 / 312	−16.1
6	98,194	2456.6	− 2552	−95.4	× 71 / 312	−21.7
7	98,195	2476.0	− 2567	−91	× 25 / 312	−7.3
8	98,196	2448.0	− 2586	−138	× 24 / 312	−10.6
Sum, rounded to a whole point						−89

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,098	2378.9	− 2436	−57.1	× 55 / 271	−11.6
4	98,099	2415.5	− 2485	−69.5	× 61 / 271	−15.6
5	98,100	2450.3	− 2528	−77.7	× 69 / 271	−19.8
6	98,101	2511.3	− 2552	−40.7	× 53 / 271	−8
7	98,102	2440.6	− 2567	−126.4	× 12 / 271	−5.6
8	98,103	2495.1	− 2586	−90.9	× 21 / 271	−7
Sum, rounded to a whole point						−68

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	97,793	2379.9	− 2436	−56.1	× 56 / 245	−12.8
4	97,794	2423.6	− 2485	−61.4	× 55 / 245	−13.8
5	97,795	2457.0	− 2528	−71	× 62 / 245	−18
6	97,796	2515.1	− 2552	−36.9	× 72 / 245	−10.8
Sum, rounded to a whole point						−55

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −44, −51, −62, −64, −65, −90, −89, −68, −55 → −65.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 11 · 2017→2018: 2 · 2018→2019: 1 · 2019→2022: 25 · 2022→2023: 1 · 2023→2024: 21 · 2024→2025: 13 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit −38.4, lower limit −92.2.

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.