Berkeley Unified: math

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	513	2453.8	− 2436	17.8	× 723 / 4660	2.8
4	514	2496.2	− 2485	11.2	× 665 / 4660	1.6
5	517	2532.8	− 2528	4.8	× 700 / 4660	0.7
6	518	2542.6	− 2552	−9.4	× 697 / 4660	−1.4
7	521	2555.6	− 2567	−11.4	× 649 / 4660	−1.6
8	522	2589.8	− 2586	3.8	× 613 / 4660	0.5
11	525	2596.8	− 2628	−31.2	× 613 / 4660	−4.1
Sum, rounded to a whole point						−2

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	423	2470.3	− 2436	34.3	× 698 / 4661	5.1
4	424	2495.7	− 2485	10.7	× 711 / 4661	1.6
5	426	2535.1	− 2528	7.1	× 677 / 4661	1
6	429	2568.5	− 2552	16.5	× 656 / 4661	2.3
7	430	2567.6	− 2567	0.6	× 672 / 4661	0.1
8	433	2578.6	− 2586	−7.4	× 607 / 4661	−1
11	434	2614.7	− 2628	−13.3	× 640 / 4661	−1.8
Sum, rounded to a whole point						7

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	441	2463.6	− 2436	27.6	× 736 / 4693	4.3
4	443	2497.7	− 2485	12.7	× 696 / 4693	1.9
5	444	2525.2	− 2528	−2.8	× 715 / 4693	−0.4
6	446	2558.2	− 2552	6.2	× 672 / 4693	0.9
7	448	2579.0	− 2567	12	× 646 / 4693	1.7
8	451	2597.7	− 2586	11.7	× 684 / 4693	1.7
11	452	2589.2	− 2628	−38.8	× 544 / 4693	−4.5
Sum, rounded to a whole point						6

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	464	2474.0	− 2436	38	× 700 / 4777	5.6
4	466	2495.2	− 2485	10.2	× 746 / 4777	1.6
5	468	2532.8	− 2528	4.8	× 704 / 4777	0.7
6	470	2562.1	− 2552	10.1	× 716 / 4777	1.5
7	472	2582.8	− 2567	15.8	× 677 / 4777	2.2
8	474	2611.3	− 2586	25.3	× 661 / 4777	3.5
11	476	2621.1	− 2628	−6.9	× 573 / 4777	−0.8
Sum, rounded to a whole point						14

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	498	2468.8	− 2436	32.8	× 689 / 4532	5
4	499	2512.5	− 2485	27.5	× 693 / 4532	4.2
5	500	2533.7	− 2528	5.7	× 725 / 4532	0.9
6	501	2560.6	− 2552	8.6	× 687 / 4532	1.3
7	502	2597.2	− 2567	30.2	× 698 / 4532	4.7
8	503	2611.7	− 2586	25.7	× 659 / 4532	3.7
11	504	2627.4	− 2628	−0.6	× 381 / 4532	−0.1
Sum, rounded to a whole point						20

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	480	2723.8	− 2628	95.8	× 56 / 56	95.8
Sum, rounded to a whole point						96

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	496	2465.2	− 2436	29.2	× 608 / 4296	4.1
4	497	2512.8	− 2485	27.8	× 596 / 4296	3.9
5	498	2536.2	− 2528	8.2	× 629 / 4296	1.2
6	499	2545.4	− 2552	−6.6	× 610 / 4296	−0.9
7	500	2583.9	− 2567	16.9	× 624 / 4296	2.5
8	501	2605.0	− 2586	19	× 659 / 4296	2.9
11	502	2597.5	− 2628	−30.5	× 570 / 4296	−4
Sum, rounded to a whole point						10

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	490	2477.6	− 2436	41.6	× 651 / 4410	6.1
4	491	2517.8	− 2485	32.8	× 613 / 4410	4.6
5	492	2542.8	− 2528	14.8	× 597 / 4410	2
6	493	2579.7	− 2552	27.7	× 623 / 4410	3.9
7	494	2573.6	− 2567	6.6	× 614 / 4410	0.9
8	495	2606.9	− 2586	20.9	× 629 / 4410	3
11	496	2600.8	− 2628	−27.2	× 683 / 4410	−4.2
Sum, rounded to a whole point						16

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	492	2486.4	− 2436	50.4	× 594 / 4264	7
4	493	2520.8	− 2485	35.8	× 644 / 4264	5.4
5	494	2552.6	− 2528	24.6	× 607 / 4264	3.5
6	495	2573.4	− 2552	21.4	× 576 / 4264	2.9
7	496	2597.4	− 2567	30.4	× 617 / 4264	4.4
8	497	2614.0	− 2586	28	× 602 / 4264	4
11	498	2624.7	− 2628	−3.3	× 624 / 4264	−0.5
Sum, rounded to a whole point						27

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	486	2483.7	− 2436	47.7	× 599 / 4477	6.4
4	487	2531.1	− 2485	46.1	× 609 / 4477	6.3
5	488	2557.6	− 2528	29.6	× 668 / 4477	4.4
6	489	2577.1	− 2552	25.1	× 627 / 4477	3.5
7	490	2600.9	− 2567	33.9	× 596 / 4477	4.5
8	491	2633.8	− 2586	47.8	× 648 / 4477	6.9
11	492	2638.6	− 2628	10.6	× 730 / 4477	1.7
Sum, rounded to a whole point						34

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −2, 7, 6, 14, 20, 96, 10, 16, 27, 34 → 22.8
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 9 · 2016→2017: 1 · 2017→2018: 8 · 2018→2019: 6 · 2019→2021: 76 · 2021→2022: 86 · 2022→2023: 6 · 2023→2024: 11 · 2024→2025: 7 → average 23.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 23.3 × 2.66 = 62. Upper limit 84.8, lower limit −39.2.

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.