Black Butte Union 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	90,729	2361.8	− 2432	−70.2	× 16 / 129	−8.7
4	90,731	2416.3	− 2473	−56.7	× 31 / 129	−13.6
5	90,734	2496.3	− 2502	−5.7	× 17 / 129	−0.8
6	90,735	2499.7	− 2531	−31.3	× 24 / 129	−5.8
7	90,738	2500.9	− 2552	−51.1	× 25 / 129	−9.9
8	90,739	2573.1	− 2567	6.1	× 16 / 129	0.8
Sum, rounded to a whole point						−38

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	84,209	2407.1	− 2432	−24.9	× 24 / 134	−4.5
4	84,212	2429.3	− 2473	−43.7	× 16 / 134	−5.2
5	84,214	2476.9	− 2502	−25.1	× 22 / 134	−4.1
6	84,216	2511.0	− 2531	−20	× 19 / 134	−2.8
7	84,218	2538.0	− 2552	−14	× 25 / 134	−2.6
8	84,220	2548.8	− 2567	−18.2	× 28 / 134	−3.8
Sum, rounded to a whole point						−23

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,534	2387.8	− 2432	−44.2	× 17 / 124	−6.1
4	86,536	2406.8	− 2473	−66.2	× 24 / 124	−12.8
5	86,537	2479.6	− 2502	−22.4	× 15 / 124	−2.7
6	86,539	2493.8	− 2531	−37.2	× 22 / 124	−6.6
7	86,542	2549.7	− 2552	−2.3	× 21 / 124	−0.4
8	86,543	2547.7	− 2567	−19.3	× 25 / 124	−3.9
Sum, rounded to a whole point						−32

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	86,758	2411.4	− 2432	−20.6	× 21 / 130	−3.3
4	86,759	2386.3	− 2473	−86.7	× 18 / 130	−12
5	86,762	2471.9	− 2502	−30.1	× 27 / 130	−6.3
6	86,763	2474.1	− 2531	−56.9	× 14 / 130	−6.1
7	86,766	2518.4	− 2552	−33.6	× 25 / 130	−6.5
8	86,767	2559.7	− 2567	−7.3	× 25 / 130	−1.4
Sum, rounded to a whole point						−36

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,359	2380.4	− 2432	−51.6	× 23 / 129	−9.2
4	87,360	2455.5	− 2473	−17.5	× 22 / 129	−3
5	87,361	2452.5	− 2502	−49.5	× 17 / 129	−6.5
6	87,362	2485.1	− 2531	−45.9	× 22 / 129	−7.8
7	87,363	2556.6	− 2552	4.6	× 17 / 129	0.6
8	87,364	2573.7	− 2567	6.7	× 28 / 129	1.5
Sum, rounded to a whole point						−24

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,696	2357.1	− 2432	−74.9	× 19 / 128	−11.1
4	87,697	2373.3	− 2473	−99.7	× 22 / 128	−17.1
5	87,698	2438.7	− 2502	−63.3	× 30 / 128	−14.8
6	87,699	2436.2	− 2531	−94.8	× 23 / 128	−17
7	87,700	2495.2	− 2552	−56.8	× 22 / 128	−9.8
8	87,701	2429.7	− 2567	−137.3	× 12 / 128	−12.9
Sum, rounded to a whole point						−83

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,612	2380.8	− 2432	−51.2	× 33 / 161	−10.5
4	87,613	2406.1	− 2473	−66.9	× 23 / 161	−9.6
5	87,614	2437.1	− 2502	−64.9	× 30 / 161	−12.1
6	87,615	2481.0	− 2531	−50	× 31 / 161	−9.6
7	87,616	2470.4	− 2552	−81.6	× 21 / 161	−10.6
8	87,617	2524.1	− 2567	−42.9	× 23 / 161	−6.1
Sum, rounded to a whole point						−59

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,592	2348.1	− 2432	−83.9	× 26 / 164	−13.3
4	87,593	2428.6	− 2473	−44.4	× 34 / 164	−9.2
5	87,594	2461.2	− 2502	−40.8	× 22 / 164	−5.5
6	87,595	2450.1	− 2531	−80.9	× 28 / 164	−13.8
7	87,596	2485.9	− 2552	−66.1	× 31 / 164	−12.5
8	87,597	2525.3	− 2567	−41.7	× 23 / 164	−5.8
Sum, rounded to a whole point						−60

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	87,284	2386.1	− 2432	−45.9	× 26 / 169	−7.1
4	87,285	2393.1	− 2473	−79.9	× 26 / 169	−12.3
5	87,286	2474.8	− 2502	−27.2	× 35 / 169	−5.6
6	87,287	2456.7	− 2531	−74.3	× 21 / 169	−9.2
7	87,288	2487.6	− 2552	−64.4	× 28 / 169	−10.7
8	87,289	2528.0	− 2567	−39	× 33 / 169	−7.6
Sum, rounded to a whole point						−53

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −38, −23, −32, −36, −24, −83, −59, −60, −53 → −45.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 15 · 2016→2017: 9 · 2017→2018: 4 · 2018→2019: 12 · 2019→2022: 59 · 2022→2023: 24 · 2023→2024: 1 · 2024→2025: 7 → average 16.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 16.4 × 2.66 = 43.6. Upper limit −1.7, lower limit −88.9.

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.