Santa Cruz: math · Schoolio

The shaded band is this county'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	89,771	2404.1	− 2436	−31.9	× 3186 / 20555	−4.9
4	89,774	2447.0	− 2485	−38	× 2938 / 20555	−5.4
5	89,775	2477.9	− 2528	−50.1	× 3051 / 20555	−7.4
6	89,777	2493.6	− 2552	−58.4	× 3025 / 20555	−8.6
7	89,779	2522.3	− 2567	−44.7	× 2959 / 20555	−6.4
8	89,782	2537.7	− 2586	−48.3	× 2829 / 20555	−6.6
11	89,783	2554.4	− 2628	−73.6	× 2567 / 20555	−9.2
Sum, rounded to a whole point						−49

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	83,255	2409.1	− 2436	−26.9	× 3096 / 20715	−4
4	83,258	2448.2	− 2485	−36.8	× 3188 / 20715	−5.7
5	83,259	2481.3	− 2528	−46.7	× 2971 / 20715	−6.7
6	83,262	2493.4	− 2552	−58.6	× 3050 / 20715	−8.6
7	83,264	2520.9	− 2567	−46.1	× 3019 / 20715	−6.7
8	83,265	2538.0	− 2586	−48	× 2878 / 20715	−6.7
11	83,268	2558.4	− 2628	−69.6	× 2513 / 20715	−8.4
Sum, rounded to a whole point						−47

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,592	2412.3	− 2436	−23.7	× 2904 / 20834	−3.3
4	85,594	2447.7	− 2485	−37.3	× 3065 / 20834	−5.5
5	85,595	2476.6	− 2528	−51.4	× 3204 / 20834	−7.9
6	85,598	2494.1	− 2552	−57.9	× 2970 / 20834	−8.3
7	85,599	2517.9	− 2567	−49.1	× 3030 / 20834	−7.1
8	85,602	2523.3	− 2586	−62.7	× 2973 / 20834	−8.9
11	85,604	2556.3	− 2628	−71.7	× 2688 / 20834	−9.3
Sum, rounded to a whole point						−50

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,813	2418.7	− 2436	−17.3	× 2852 / 20535	−2.4
4	85,814	2449.7	− 2485	−35.3	× 2906 / 20535	−5
5	85,817	2481.6	− 2528	−46.4	× 3050 / 20535	−6.9
6	85,818	2494.3	− 2552	−57.7	× 3147 / 20535	−8.8
7	85,821	2522.1	− 2567	−44.9	× 2913 / 20535	−6.4
8	85,822	2530.3	− 2586	−55.7	× 3004 / 20535	−8.1
11	85,825	2556.8	− 2628	−71.2	× 2663 / 20535	−9.2
Sum, rounded to a whole point						−47

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,409	2420.0	− 2436	−16	× 2766 / 20343	−2.2
4	86,410	2460.0	− 2485	−25	× 2836 / 20343	−3.5
5	86,411	2483.4	− 2528	−44.6	× 2884 / 20343	−6.3
6	86,412	2496.8	− 2552	−55.2	× 3030 / 20343	−8.2
7	86,413	2517.1	− 2567	−49.9	× 3171 / 20343	−7.8
8	86,414	2533.4	− 2586	−52.6	× 2862 / 20343	−7.4
11	86,415	2562.6	− 2628	−65.4	× 2794 / 20343	−9
Sum, rounded to a whole point						−44

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,659	2462.8	− 2436	26.8	× 202 / 1735	3.1
4	84,660	2485.2	− 2485	0.2	× 205 / 1735	0
5	84,661	2502.8	− 2528	−25.2	× 212 / 1735	−3.1
6	84,662	2549.3	− 2552	−2.7	× 183 / 1735	−0.3
7	84,663	2602.2	− 2567	35.2	× 194 / 1735	3.9
8	84,664	2600.8	− 2586	14.8	× 196 / 1735	1.7
11	84,665	2625.3	− 2628	−2.7	× 543 / 1735	−0.8
Sum, rounded to a whole point						5

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,668	2407.0	− 2436	−29	× 2560 / 18806	−3.9
4	86,669	2446.2	− 2485	−38.8	× 2761 / 18806	−5.7
5	86,670	2465.2	− 2528	−62.8	× 2749 / 18806	−9.2
6	86,671	2479.9	− 2552	−72.1	× 2708 / 18806	−10.4
7	86,672	2505.7	− 2567	−61.3	× 2775 / 18806	−9
8	86,673	2511.7	− 2586	−74.3	× 2760 / 18806	−10.9
11	86,674	2551.9	− 2628	−76.1	× 2493 / 18806	−10.1
Sum, rounded to a whole point						−59

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,590	2408.3	− 2436	−27.7	× 2624 / 19029	−3.8
4	86,591	2446.6	− 2485	−38.4	× 2531 / 19029	−5.1
5	86,592	2474.6	− 2528	−53.4	× 2739 / 19029	−7.7
6	86,593	2481.3	− 2552	−70.7	× 2726 / 19029	−10.1
7	86,594	2503.7	− 2567	−63.3	× 2731 / 19029	−9.1
8	86,595	2514.9	− 2586	−71.1	× 2767 / 19029	−10.3
11	86,596	2538.4	− 2628	−89.6	× 2911 / 19029	−13.7
Sum, rounded to a whole point						−60

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,558	2411.4	− 2436	−24.6	× 2570 / 18992	−3.3
4	86,559	2443.5	− 2485	−41.5	× 2678 / 18992	−5.9
5	86,560	2471.5	− 2528	−56.5	× 2559 / 18992	−7.6
6	86,561	2487.1	− 2552	−64.9	× 2757 / 18992	−9.4
7	86,562	2504.3	− 2567	−62.7	× 2819 / 18992	−9.3
8	86,563	2511.9	− 2586	−74.1	× 2739 / 18992	−10.7
11	86,564	2545.3	− 2628	−82.7	× 2870 / 18992	−12.5
Sum, rounded to a whole point						−59

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,240	2409.7	− 2436	−26.3	× 2674 / 18724	−3.8
4	86,241	2446.7	− 2485	−38.3	× 2564 / 18724	−5.2
5	86,242	2472.2	− 2528	−55.8	× 2639 / 18724	−7.9
6	86,243	2487.4	− 2552	−64.6	× 2578 / 18724	−8.9
7	86,244	2516.8	− 2567	−50.2	× 2763 / 18724	−7.4
8	86,245	2522.4	− 2586	−63.6	× 2777 / 18724	−9.4
11	86,246	2553.2	− 2628	−74.8	× 2729 / 18724	−10.9
Sum, rounded to a whole point						−54

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	85,999	2411.1	− 2436	−24.9	× 2447 / 18582	−3.3
4	86,000	2446.2	− 2485	−38.8	× 2684 / 18582	−5.6
5	86,001	2472.4	− 2528	−55.6	× 2622 / 18582	−7.8
6	86,002	2492.4	− 2552	−59.6	× 2652 / 18582	−8.5
7	86,003	2517.0	− 2567	−50	× 2625 / 18582	−7.1
8	86,004	2530.2	− 2586	−55.8	× 2774 / 18582	−8.3
11	86,005	2557.7	− 2628	−70.3	× 2778 / 18582	−10.5
Sum, rounded to a whole point						−51

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −49, −47, −50, −47, −44, 5, −59, −60, −59, −54, −51 → −46.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 3 · 2017→2018: 3 · 2018→2019: 3 · 2019→2021: 49 · 2021→2022: 64 · 2022→2023: 1 · 2023→2024: 1 · 2024→2025: 5 · 2025→2026: 3 → average 13.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.4 × 2.66 = 35.6. Upper limit −11.2, lower limit −82.4.

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 county, 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.