Cardiff Elementary: english

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	70,444	2457.2	− 2432	25.2	× 105 / 414	6.4
4	70,447	2525.1	− 2473	52.1	× 109 / 414	13.7
5	70,448	2521.8	− 2502	19.8	× 86 / 414	4.1
6	70,451	2589.4	− 2531	58.4	× 114 / 414	16.1
Sum, rounded to a whole point						40

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,273	2446.5	− 2432	14.5	× 108 / 405	3.9
4	65,275	2518.0	− 2473	45	× 108 / 405	12
5	65,277	2565.2	− 2502	63.2	× 111 / 405	17.3
6	65,279	2576.6	− 2531	45.6	× 78 / 405	8.8
Sum, rounded to a whole point						42

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,085	2462.3	− 2432	30.3	× 80 / 405	6
4	67,087	2507.9	− 2473	34.9	× 110 / 405	9.5
5	67,090	2564.3	− 2502	62.3	× 109 / 405	16.8
6	67,092	2597.2	− 2531	66.2	× 106 / 405	17.3
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	67,182	2470.6	− 2432	38.6	× 84 / 386	8.4
4	67,184	2532.3	− 2473	59.3	× 83 / 386	12.8
5	67,186	2541.1	− 2502	39.1	× 114 / 386	11.5
6	67,188	2595.2	− 2531	64.2	× 105 / 386	17.5
Sum, rounded to a whole point						50

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,674	2473.8	− 2432	41.8	× 100 / 386	10.8
4	67,675	2525.8	− 2473	52.8	× 84 / 386	11.5
5	67,676	2559.4	− 2502	57.4	× 83 / 386	12.3
6	67,677	2569.0	− 2531	38	× 119 / 386	11.7
Sum, rounded to a whole point						46

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,820	2470.8	− 2432	38.8	× 88 / 366	9.3
4	67,821	2518.9	− 2473	45.9	× 101 / 366	12.7
5	67,822	2544.0	− 2502	42	× 84 / 366	9.6
6	67,823	2590.0	− 2531	59	× 93 / 366	15
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	67,830	2448.0	− 2432	16	× 80 / 353	3.6
4	67,831	2523.7	− 2473	50.7	× 93 / 353	13.4
5	67,832	2558.9	− 2502	56.9	× 99 / 353	16
6	67,833	2566.9	− 2531	35.9	× 81 / 353	8.2
Sum, rounded to a whole point						41

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,824	2459.0	− 2432	27	× 109 / 374	7.9
4	67,825	2510.0	− 2473	37	× 82 / 374	8.1
5	67,826	2568.9	− 2502	66.9	× 90 / 374	16.1
6	67,827	2594.6	− 2531	63.6	× 93 / 374	15.8
Sum, rounded to a whole point						48

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,582	2458.1	− 2432	26.1	× 87 / 378	6
4	67,583	2528.2	− 2473	55.2	× 112 / 378	16.4
5	67,584	2555.4	− 2502	53.4	× 85 / 378	12
6	67,585	2609.8	− 2531	78.8	× 94 / 378	19.6
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	67,627	2462.3	− 2432	30.3	× 92 / 370	7.5
4	67,628	2523.2	− 2473	50.2	× 88 / 370	11.9
5	67,629	2557.5	− 2502	55.5	× 108 / 370	16.2
6	67,630	2585.5	− 2531	54.5	× 82 / 370	12.1
Sum, rounded to a whole point						48

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 40, 42, 50, 50, 46, 47, 41, 48, 54, 48 → 46.6
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: 8 · 2017→2018: 0 · 2018→2019: 4 · 2019→2022: 1 · 2022→2023: 6 · 2023→2024: 7 · 2024→2025: 6 · 2025→2026: 6 → average 4.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.4 × 2.66 = 11.7. Upper limit 58.3, lower limit 34.9.

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.

Cardiff Elementary