Torrance 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	37,796	2461.4	− 2436	25.4	× 1549 / 12185	3.2
4	37,798	2503.4	− 2485	18.4	× 1620 / 12185	2.4
5	37,800	2531.4	− 2528	3.4	× 1679 / 12185	0.5
6	37,802	2547.2	− 2552	−4.8	× 1800 / 12185	−0.7
7	37,804	2567.9	− 2567	0.9	× 1780 / 12185	0.1
8	37,806	2591.7	− 2586	5.7	× 1798 / 12185	0.8
11	37,808	2617.2	− 2628	−10.8	× 1959 / 12185	−1.7
Sum, rounded to a whole point						5

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,144	2466.8	− 2436	30.8	× 1585 / 12161	4
4	35,146	2514.3	− 2485	29.3	× 1564 / 12161	3.8
5	35,149	2534.5	− 2528	6.5	× 1639 / 12161	0.9
6	35,150	2557.7	− 2552	5.7	× 1805 / 12161	0.8
7	35,152	2574.7	− 2567	7.7	× 1825 / 12161	1.2
8	35,155	2596.0	− 2586	10	× 1770 / 12161	1.5
11	35,156	2630.2	− 2628	2.2	× 1973 / 12161	0.4
Sum, rounded to a whole point						12

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,824	2472.4	− 2436	36.4	× 1624 / 12202	4.8
4	35,826	2516.4	− 2485	31.4	× 1611 / 12202	4.1
5	35,828	2543.9	− 2528	15.9	× 1597 / 12202	2.1
6	35,831	2554.7	− 2552	2.7	× 1767 / 12202	0.4
7	35,832	2579.0	− 2567	12	× 1848 / 12202	1.8
8	35,834	2594.9	− 2586	8.9	× 1835 / 12202	1.3
11	35,836	2624.7	− 2628	−3.3	× 1920 / 12202	−0.5
Sum, rounded to a whole point						14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,831	2479.1	− 2436	43.1	× 1536 / 12142	5.5
4	35,832	2520.2	− 2485	35.2	× 1626 / 12142	4.7
5	35,835	2546.5	− 2528	18.5	× 1618 / 12142	2.5
6	35,836	2567.4	− 2552	15.4	× 1763 / 12142	2.2
7	35,838	2581.6	− 2567	14.6	× 1776 / 12142	2.1
8	35,841	2600.9	− 2586	14.9	× 1862 / 12142	2.3
11	35,842	2630.3	− 2628	2.3	× 1961 / 12142	0.4
Sum, rounded to a whole point						20

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,003	2481.4	− 2436	45.4	× 1584 / 11873	6.1
4	36,004	2524.5	− 2485	39.5	× 1510 / 11873	5
5	36,005	2556.4	− 2528	28.4	× 1661 / 11873	4
6	36,006	2570.4	− 2552	18.4	× 1743 / 11873	2.7
7	36,007	2587.7	− 2567	20.7	× 1766 / 11873	3.1
8	36,008	2594.5	− 2586	8.5	× 1772 / 11873	1.3
11	36,009	2631.3	− 2628	3.3	× 1837 / 11873	0.5
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	35,900	2480.6	− 2436	44.6	× 1507 / 11115	6
4	35,901	2521.7	− 2485	36.7	× 1450 / 11115	4.8
5	35,902	2547.5	− 2528	19.5	× 1525 / 11115	2.7
6	35,903	2560.0	− 2552	8	× 1560 / 11115	1.1
7	35,904	2566.7	− 2567	−0.3	× 1559 / 11115	0
8	35,905	2585.1	− 2586	−0.9	× 1703 / 11115	−0.1
11	35,906	2616.1	− 2628	−11.9	× 1811 / 11115	−1.9
Sum, rounded to a whole point						13

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,901	2480.0	− 2436	44	× 1415 / 11117	5.6
4	35,902	2532.7	− 2485	47.7	× 1526 / 11117	6.5
5	35,903	2555.0	− 2528	27	× 1470 / 11117	3.6
6	35,904	2558.6	− 2552	6.6	× 1663 / 11117	1
7	35,905	2578.2	− 2567	11.2	× 1603 / 11117	1.6
8	35,906	2586.3	− 2586	0.3	× 1563 / 11117	0
11	35,907	2620.6	− 2628	−7.4	× 1877 / 11117	−1.2
Sum, rounded to a whole point						17

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,755	2482.8	− 2436	46.8	× 1472 / 11184	6.2
4	35,756	2520.6	− 2485	35.6	× 1455 / 11184	4.6
5	35,757	2561.0	− 2528	33	× 1547 / 11184	4.6
6	35,758	2570.6	− 2552	18.6	× 1600 / 11184	2.7
7	35,759	2579.1	− 2567	12.1	× 1688 / 11184	1.8
8	35,760	2594.4	− 2586	8.4	× 1627 / 11184	1.2
11	35,761	2627.0	− 2628	−1	× 1795 / 11184	−0.2
Sum, rounded to a whole point						21

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,598	2476.5	− 2436	40.5	× 1427 / 11149	5.2
4	35,599	2525.4	− 2485	40.4	× 1471 / 11149	5.3
5	35,600	2553.1	− 2528	25.1	× 1457 / 11149	3.3
6	35,601	2579.3	− 2552	27.3	× 1662 / 11149	4.1
7	35,602	2592.6	− 2567	25.6	× 1632 / 11149	3.7
8	35,603	2601.1	− 2586	15.1	× 1694 / 11149	2.3
11	35,604	2638.2	− 2628	10.2	× 1806 / 11149	1.7
Sum, rounded to a whole point						26

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,594	2474.4	− 2436	38.4	× 1391 / 10807	4.9
4	35,595	2522.2	− 2485	37.2	× 1420 / 10807	4.9
5	35,596	2555.7	− 2528	27.7	× 1471 / 10807	3.8
6	35,597	2565.5	− 2552	13.5	× 1536 / 10807	1.9
7	35,598	2595.9	− 2567	28.9	× 1678 / 10807	4.5
8	35,599	2605.9	− 2586	19.9	× 1645 / 10807	3
11	35,600	2636.2	− 2628	8.2	× 1666 / 10807	1.3
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. 5, 12, 14, 20, 23, 13, 17, 21, 26, 24 → 17.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 2 · 2017→2018: 6 · 2018→2019: 3 · 2019→2022: 10 · 2022→2023: 4 · 2023→2024: 4 · 2024→2025: 5 · 2025→2026: 2 → average 4.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.8 × 2.66 = 12.8. Upper limit 30.3, lower limit 4.7.

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 — 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.

Torrance Unified