Carlton Hills Elementary: english

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	75,548	2448.6	− 2432	16.6	× 46 / 316	2.4
4	75,550	2503.9	− 2473	30.9	× 42 / 316	4.1
5	75,552	2493.8	− 2502	−8.2	× 44 / 316	−1.1
6	75,554	2519.5	− 2531	−11.5	× 41 / 316	−1.5
7	75,556	2578.6	− 2552	26.6	× 81 / 316	6.8
8	75,558	2588.1	− 2567	21.1	× 62 / 316	4.1
Sum, rounded to a whole point						15

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,066	2398.7	− 2432	−33.3	× 48 / 304	−5.3
4	70,069	2481.6	− 2473	8.6	× 46 / 304	1.3
5	70,070	2544.3	− 2502	42.3	× 44 / 304	6.1
6	70,073	2517.3	− 2531	−13.7	× 45 / 304	−2
7	70,075	2582.0	− 2552	30	× 53 / 304	5.2
8	70,076	2609.6	− 2567	42.6	× 68 / 304	9.5
Sum, rounded to a whole point						15

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,919	2435.9	− 2432	3.9	× 58 / 309	0.7
4	71,922	2416.5	− 2473	−56.5	× 44 / 309	−8
5	71,923	2513.5	− 2502	11.5	× 47 / 309	1.7
6	71,926	2515.5	− 2531	−15.5	× 42 / 309	−2.1
7	71,927	2569.6	− 2552	17.6	× 65 / 309	3.7
8	71,929	2582.5	− 2567	15.5	× 53 / 309	2.7
Sum, rounded to a whole point						−1

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,061	2477.3	− 2432	45.3	× 72 / 350	9.3
4	72,063	2467.6	− 2473	−5.4	× 60 / 350	−0.9
5	72,065	2503.4	− 2502	1.4	× 48 / 350	0.2
6	72,067	2527.9	− 2531	−3.1	× 48 / 350	−0.4
7	72,069	2563.2	− 2552	11.2	× 59 / 350	1.9
8	72,071	2571.0	− 2567	4	× 63 / 350	0.7
Sum, rounded to a whole point						11

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,546	2458.8	− 2432	26.8	× 67 / 377	4.8
4	72,547	2503.9	− 2473	30.9	× 75 / 377	6.1
5	72,548	2504.5	− 2502	2.5	× 57 / 377	0.4
6	72,549	2514.1	− 2531	−16.9	× 55 / 377	−2.5
7	72,550	2581.1	− 2552	29.1	× 65 / 377	5
8	72,551	2568.8	− 2567	1.8	× 58 / 377	0.3
Sum, rounded to a whole point						14

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,029	2437.2	− 2432	5.2	× 58 / 420	0.7
4	71,030	2472.4	− 2473	−0.6	× 77 / 420	−0.1
5	71,031	2523.3	− 2502	21.3	× 78 / 420	4
6	71,032	2524.2	− 2531	−6.8	× 87 / 420	−1.4
7	71,033	2598.9	− 2552	46.9	× 52 / 420	5.8
8	71,034	2589.8	− 2567	22.8	× 68 / 420	3.7
Sum, rounded to a whole point						13

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,624	2471.5	− 2432	39.5	× 53 / 369	5.7
4	72,625	2458.7	− 2473	−14.3	× 59 / 369	−2.3
5	72,626	2541.7	− 2502	39.7	× 56 / 369	6
6	72,627	2514.0	− 2531	−17	× 60 / 369	−2.8
7	72,628	2595.7	− 2552	43.7	× 73 / 369	8.6
8	72,629	2609.8	− 2567	42.8	× 68 / 369	7.9
Sum, rounded to a whole point						23

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,622	2435.4	− 2432	3.4	× 47 / 350	0.5
4	72,623	2481.9	− 2473	8.9	× 57 / 350	1.4
5	72,624	2482.7	− 2502	−19.3	× 57 / 350	−3.1
6	72,625	2528.3	− 2531	−2.7	× 53 / 350	−0.4
7	72,626	2592.6	− 2552	40.6	× 63 / 350	7.3
8	72,627	2606.1	− 2567	39.1	× 73 / 350	8.2
Sum, rounded to a whole point						14

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,604	2429.6	− 2432	−2.4	× 56 / 341	−0.4
4	72,605	2482.4	− 2473	9.4	× 51 / 341	1.4
5	72,606	2510.7	− 2502	8.7	× 55 / 341	1.4
6	72,607	2506.6	− 2531	−24.4	× 56 / 341	−4
7	72,608	2611.0	− 2552	59	× 58 / 341	10
8	72,609	2608.7	− 2567	41.7	× 65 / 341	7.9
Sum, rounded to a whole point						16

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,318	2434.8	− 2432	2.8	× 47 / 363	0.4
4	72,319	2497.5	− 2473	24.5	× 56 / 363	3.8
5	72,320	2536.8	− 2502	34.8	× 50 / 363	4.8
6	72,321	2529.0	− 2531	−2	× 61 / 363	−0.3
7	72,322	2575.6	− 2552	23.6	× 87 / 363	5.7
8	72,323	2624.4	− 2567	57.4	× 62 / 363	9.8
Sum, rounded to a whole point						24

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 15, 15, −1, 11, 14, 13, 23, 14, 16, 24 → 14.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 16 · 2017→2018: 12 · 2018→2019: 3 · 2019→2021: 1 · 2021→2022: 10 · 2022→2023: 9 · 2023→2024: 2 · 2024→2025: 8 → average 6.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.8 × 2.66 = 18.1. Upper limit 32.5, lower limit −3.7.

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.