Latrobe: math · Schoolio

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	9,135	2456.4	− 2436	20.4	× 13 / 91	2.9
4	9,136	2479.8	− 2485	−5.2	× 14 / 91	−0.8
5	9,139	2570.1	− 2528	42.1	× 15 / 91	6.9
6	9,140	2542.0	− 2552	−10	× 20 / 91	−2.2
7	9,143	2592.9	− 2567	25.9	× 16 / 91	4.6
8	9,144	2666.4	− 2586	80.4	× 13 / 91	11.5
Sum, rounded to a whole point						23

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	8,220	2551.9	− 2485	66.9	× 15 / 87	11.5
5	8,223	2536.8	− 2528	8.8	× 16 / 87	1.6
6	8,224	2572.3	− 2552	20.3	× 20 / 87	4.7
7	8,227	2582.2	− 2567	15.2	× 20 / 87	3.5
8	8,229	2630.1	− 2586	44.1	× 16 / 87	8.1
Sum, rounded to a whole point						29

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,485	2490.9	− 2436	54.9	× 17 / 87	10.7
5	8,489	2580.6	− 2528	52.6	× 14 / 87	8.5
6	8,490	2574.4	− 2552	22.4	× 15 / 87	3.9
7	8,493	2609.3	− 2567	42.3	× 20 / 87	9.7
8	8,494	2607.4	− 2586	21.4	× 21 / 87	5.2
Sum, rounded to a whole point						38

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,520	2520.2	− 2436	84.2	× 13 / 85	12.9
4	8,523	2536.1	− 2485	51.1	× 18 / 85	10.8
6	8,527	2571.9	− 2552	19.9	× 16 / 85	3.7
7	8,528	2580.8	− 2567	13.8	× 17 / 85	2.8
8	8,531	2620.8	− 2586	34.8	× 21 / 85	8.6
Sum, rounded to a whole point						39

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,577	2496.6	− 2436	60.6	× 20 / 101	12
4	8,578	2562.9	− 2485	77.9	× 13 / 101	10
5	8,579	2569.5	− 2528	41.5	× 20 / 101	8.2
6	8,580	2562.4	− 2552	10.4	× 11 / 101	1.1
7	8,581	2581.1	− 2567	14.1	× 20 / 101	2.8
8	8,582	2627.8	− 2586	41.8	× 17 / 101	7
Sum, rounded to a whole point						41

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	8,410	2513.1	− 2485	28.1	× 26 / 96	7.6
5	8,411	2527.8	− 2528	−0.2	× 17 / 96	0
6	8,412	2571.3	− 2552	19.3	× 19 / 96	3.8
7	8,413	2633.8	− 2567	66.8	× 22 / 96	15.3
8	8,414	2580.3	− 2586	−5.7	× 12 / 96	−0.7
Sum, rounded to a whole point						26

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,532	2519.6	− 2436	83.6	× 17 / 113	12.6
4	8,533	2476.1	− 2485	−8.9	× 11 / 113	−0.9
5	8,534	2544.4	− 2528	16.4	× 23 / 113	3.3
6	8,535	2559.7	− 2552	7.7	× 23 / 113	1.6
7	8,536	2598.2	− 2567	31.2	× 17 / 113	4.7
8	8,537	2597.0	− 2586	11	× 22 / 113	2.1
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	8,510	2509.7	− 2436	73.7	× 18 / 109	12.2
4	8,511	2520.6	− 2485	35.6	× 18 / 109	5.9
5	8,512	2553.4	− 2528	25.4	× 11 / 109	2.6
6	8,513	2576.2	− 2552	24.2	× 24 / 109	5.3
7	8,514	2591.3	− 2567	24.3	× 23 / 109	5.1
8	8,515	2620.0	− 2586	34	× 15 / 109	4.7
Sum, rounded to a whole point						36

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,448	2477.3	− 2436	41.3	× 21 / 126	6.9
4	8,449	2495.4	− 2485	10.4	× 22 / 126	1.8
5	8,450	2519.5	− 2528	−8.5	× 17 / 126	−1.1
6	8,451	2559.2	− 2552	7.2	× 13 / 126	0.7
7	8,452	2577.5	− 2567	10.5	× 27 / 126	2.3
8	8,453	2602.5	− 2586	16.5	× 26 / 126	3.4
Sum, rounded to a whole point						14

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	8,411	2453.7	− 2436	17.7	× 13 / 83	2.8
4	8,412	2493.7	− 2485	8.7	× 19 / 83	2
5	8,413	2558.0	− 2528	30	× 20 / 83	7.2
6	8,414	2602.3	− 2552	50.3	× 12 / 83	7.3
8	8,416	2658.1	− 2586	72.1	× 19 / 83	16.5
Sum, rounded to a whole point						36

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 23, 29, 38, 39, 41, 26, 23, 36, 14, 36 → 30.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 9 · 2017→2018: 1 · 2018→2019: 2 · 2019→2021: 15 · 2021→2022: 3 · 2022→2023: 13 · 2023→2024: 22 · 2024→2025: 22 → average 10.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.3 × 2.66 = 27.4. Upper limit 57.9, lower limit 3.1.

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.