Santa Clarita Elementary: math

The shaded band is this school'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	37,365	2440.1	− 2436	4.1	× 69 / 256	1.1
4	37,367	2461.6	− 2485	−23.4	× 63 / 256	−5.8
5	37,369	2511.2	− 2528	−16.8	× 60 / 256	−3.9
6	37,371	2529.8	− 2552	−22.2	× 64 / 256	−5.6
Sum, rounded to a whole point						−14

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,762	2412.4	− 2436	−23.6	× 60 / 259	−5.5
4	34,764	2467.0	− 2485	−18	× 70 / 259	−4.9
5	34,766	2471.3	− 2528	−56.7	× 65 / 259	−14.2
6	34,769	2541.9	− 2552	−10.1	× 64 / 259	−2.5
Sum, rounded to a whole point						−27

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,408	2430.5	− 2436	−5.5	× 41 / 232	−1
4	35,410	2494.4	− 2485	9.4	× 57 / 232	2.3
5	35,412	2500.9	− 2528	−27.1	× 67 / 232	−7.8
6	35,415	2522.1	− 2552	−29.9	× 67 / 232	−8.6
Sum, rounded to a whole point						−15

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,418	2447.0	− 2436	11	× 47 / 218	2.4
4	35,420	2471.1	− 2485	−13.9	× 45 / 218	−2.9
5	35,422	2508.2	− 2528	−19.8	× 60 / 218	−5.4
6	35,424	2535.2	− 2552	−16.8	× 66 / 218	−5.1
Sum, rounded to a whole point						−11

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,586	2395.7	− 2436	−40.3	× 41 / 192	−8.6
4	35,587	2489.2	− 2485	4.2	× 52 / 192	1.1
5	35,588	2505.1	− 2528	−22.9	× 42 / 192	−5
6	35,589	2543.8	− 2552	−8.2	× 57 / 192	−2.4
Sum, rounded to a whole point						−15

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,475	2442.8	− 2436	6.8	× 39 / 197	1.3
4	35,476	2485.8	− 2485	0.8	× 47 / 197	0.2
5	35,477	2485.2	− 2528	−42.8	× 63 / 197	−13.7
6	35,478	2509.4	− 2552	−42.6	× 48 / 197	−10.4
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	35,480	2424.9	− 2436	−11.1	× 35 / 187	−2.1
4	35,481	2474.2	− 2485	−10.8	× 39 / 187	−2.3
5	35,482	2489.9	− 2528	−38.1	× 42 / 187	−8.6
6	35,483	2553.1	− 2552	1.1	× 71 / 187	0.4
Sum, rounded to a whole point						−12

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,342	2456.3	− 2436	20.3	× 23 / 137	3.4
4	35,343	2468.5	− 2485	−16.5	× 31 / 137	−3.7
5	35,344	2493.8	− 2528	−34.2	× 37 / 137	−9.2
6	35,345	2546.3	− 2552	−5.7	× 46 / 137	−1.9
Sum, rounded to a whole point						−11

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −14, −27, −15, −11, −15, −23, −12, −11 → −16
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 12 · 2017→2018: 4 · 2018→2019: 4 · 2019→2022: 8 · 2022→2023: 11 · 2023→2024: 1 → average 7.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.6 × 2.66 = 20.2. Upper limit 4.2, lower limit −36.2.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24.