Columbine 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	100,373	2433.0	− 2432	1	× 24 / 127	0.2
4	100,376	2469.9	− 2473	−3.1	× 23 / 127	−0.6
5	100,377	2488.1	− 2502	−13.9	× 25 / 127	−2.7
6	100,380	2544.2	− 2531	13.2	× 18 / 127	1.9
7	100,381	2563.3	− 2552	11.3	× 19 / 127	1.7
8	100,384	2604.1	− 2567	37.1	× 18 / 127	5.3
Sum, rounded to a whole point						6

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,074	2438.3	− 2432	6.3	× 21 / 128	1
4	93,077	2484.8	− 2473	11.8	× 26 / 128	2.4
5	93,079	2499.8	− 2502	−2.2	× 21 / 128	−0.4
6	93,081	2555.5	− 2531	24.5	× 24 / 128	4.6
7	93,082	2599.4	− 2552	47.4	× 17 / 128	6.3
8	93,085	2578.6	− 2567	11.6	× 19 / 128	1.7
Sum, rounded to a whole point						16

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,837	2433.4	− 2432	1.4	× 22 / 132	0.2
4	95,838	2458.8	− 2473	−14.2	× 22 / 132	−2.4
5	95,840	2523.3	− 2502	21.3	× 26 / 132	4.2
6	95,843	2574.4	− 2531	43.4	× 20 / 132	6.6
7	95,845	2558.6	− 2552	6.6	× 23 / 132	1.2
8	95,847	2622.8	− 2567	55.8	× 19 / 132	8
Sum, rounded to a whole point						18

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,026	2501.5	− 2432	69.5	× 18 / 120	10.4
4	96,028	2504.0	− 2473	31	× 20 / 120	5.2
5	96,031	2514.1	− 2502	12.1	× 20 / 120	2
6	96,032	2559.0	− 2531	28	× 26 / 120	6.1
7	96,035	2607.3	− 2552	55.3	× 18 / 120	8.3
8	96,036	2606.4	− 2567	39.4	× 18 / 120	5.9
Sum, rounded to a whole point						38

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,691	2457.3	− 2432	25.3	× 20 / 118	4.3
4	96,692	2512.5	− 2473	39.5	× 21 / 118	7
5	96,693	2527.0	− 2502	25	× 21 / 118	4.4
6	96,694	2555.5	− 2531	24.5	× 19 / 118	3.9
7	96,695	2601.2	− 2552	49.2	× 22 / 118	9.2
8	96,696	2619.2	− 2567	52.2	× 15 / 118	6.6
Sum, rounded to a whole point						36

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,616	2427.8	− 2432	−4.2	× 19 / 113	−0.7
4	94,617	2482.0	− 2473	9	× 21 / 113	1.7
5	94,618	2500.2	− 2502	−1.8	× 19 / 113	−0.3
6	94,619	2602.3	− 2531	71.3	× 18 / 113	11.4
7	94,620	2595.5	− 2552	43.5	× 19 / 113	7.3
8	94,621	2590.8	− 2567	23.8	× 17 / 113	3.6
Sum, rounded to a whole point						23

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,881	2411.3	− 2432	−20.7	× 23 / 117	−4.1
4	96,882	2434.5	− 2473	−38.5	× 20 / 117	−6.6
5	96,883	2537.2	− 2502	35.2	× 21 / 117	6.3
6	96,884	2581.9	− 2531	50.9	× 18 / 117	7.8
7	96,885	2616.2	− 2552	64.2	× 18 / 117	9.9
8	96,886	2616.6	− 2567	49.6	× 17 / 117	7.2
Sum, rounded to a whole point						21

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,734	2443.4	− 2432	11.4	× 24 / 127	2.2
4	96,735	2470.0	− 2473	−3	× 23 / 127	−0.5
5	96,736	2495.0	− 2502	−7	× 21 / 127	−1.2
6	96,737	2598.0	− 2531	67	× 22 / 127	11.6
7	96,738	2593.9	− 2552	41.9	× 18 / 127	5.9
8	96,739	2645.5	− 2567	78.5	× 19 / 127	11.7
Sum, rounded to a whole point						30

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,626	2451.6	− 2432	19.6	× 13 / 114	2.2
4	96,627	2473.4	− 2473	0.4	× 23 / 114	0.1
5	96,628	2509.4	− 2502	7.4	× 22 / 114	1.4
6	96,629	2573.8	− 2531	42.8	× 18 / 114	6.8
7	96,630	2607.5	− 2552	55.5	× 22 / 114	10.7
8	96,631	2645.9	− 2567	78.9	× 16 / 114	11.1
Sum, rounded to a whole point						32

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	96,354	2442.0	− 2432	10	× 14 / 112	1.3
4	96,355	2460.2	− 2473	−12.8	× 13 / 112	−1.5
5	96,356	2532.2	− 2502	30.2	× 23 / 112	6.2
6	96,357	2589.2	− 2531	58.2	× 22 / 112	11.4
7	96,358	2615.3	− 2552	63.3	× 18 / 112	10.2
8	96,359	2660.5	− 2567	93.5	× 22 / 112	18.4
Sum, rounded to a whole point						46

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 6, 16, 18, 38, 36, 23, 21, 30, 32, 46 → 26.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 10 · 2016→2017: 2 · 2017→2018: 20 · 2018→2019: 2 · 2019→2021: 13 · 2021→2022: 2 · 2022→2023: 9 · 2023→2024: 2 · 2024→2025: 14 → average 8.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 8.2 × 2.66 = 21.8. Upper limit 48.4, lower limit 4.8.

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.

Schools in Columbine Elementary

Columbine Elementary