Dehesa Charter: 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.

Measured against the grade bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

5th The average 5th grader scores just under the grade 3 bar. 2428 vs. 2436. The 5th-grade bar is 2528.
7th The average 7th grader scores just under the grade 5 bar. 2522 vs. 2528. The 7th-grade bar is 2567.
8th The average 8th grader scores 19 points under the grade 5 bar. 2509 vs. 2528. The 8th-grade bar is 2586.
11th The average 11th grader scores 17 points under the grade 5 bar. 2511 vs. 2528. The 11th-grade bar is 2628.

2019 results. "Meets standard" is the state's mark for being on track for that grade.

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	71,157	2389.3	− 2436	−46.7	× 85 / 615	−6.5
4	71,158	2415.8	− 2485	−69.2	× 86 / 615	−9.7
5	71,161	2448.3	− 2528	−79.7	× 88 / 615	−11.4
6	71,162	2489.4	− 2552	−62.6	× 83 / 615	−8.4
7	71,165	2506.3	− 2567	−60.7	× 107 / 615	−10.6
8	71,166	2480.8	− 2586	−105.2	× 97 / 615	−16.6
11	71,169	2513.9	− 2628	−114.1	× 69 / 615	−12.8
Sum, rounded to a whole point						−76

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	65,966	2371.5	− 2436	−64.5	× 61 / 520	−7.6
4	65,967	2439.7	− 2485	−45.3	× 72 / 520	−6.3
5	65,970	2443.6	− 2528	−84.4	× 75 / 520	−12.2
6	65,972	2472.7	− 2552	−79.3	× 79 / 520	−12
7	65,974	2525.4	− 2567	−41.6	× 77 / 520	−6.2
8	65,976	2510.9	− 2586	−75.1	× 86 / 520	−12.4
11	65,977	2517.1	− 2628	−110.9	× 70 / 520	−14.9
Sum, rounded to a whole point						−72

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,787	2379.9	− 2436	−56.1	× 65 / 478	−7.6
4	67,789	2418.0	− 2485	−67	× 54 / 478	−7.6
5	67,791	2438.1	− 2528	−89.9	× 78 / 478	−14.7
6	67,794	2443.5	− 2552	−108.5	× 71 / 478	−16.1
7	67,796	2505.9	− 2567	−61.1	× 79 / 478	−10.1
8	67,798	2515.1	− 2586	−70.9	× 70 / 478	−10.4
11	67,799	2492.8	− 2628	−135.2	× 61 / 478	−17.3
Sum, rounded to a whole point						−84

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	67,941	2386.5	− 2436	−49.5	× 41 / 481	−4.2
4	67,943	2412.1	− 2485	−72.9	× 64 / 481	−9.7
5	67,945	2445.3	− 2528	−82.7	× 47 / 481	−8.1
6	67,947	2471.1	− 2552	−80.9	× 83 / 481	−14
7	67,949	2481.0	− 2567	−86	× 81 / 481	−14.5
8	67,951	2496.7	− 2586	−89.3	× 85 / 481	−15.8
11	67,953	2507.6	− 2628	−120.4	× 80 / 481	−20
Sum, rounded to a whole point						−86

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	68,458	2428.1	− 2528	−99.9	× 13 / 67	−19.4
7	68,460	2522.4	− 2567	−44.6	× 14 / 67	−9.3
8	68,461	2509.4	− 2586	−76.6	× 18 / 67	−20.6
11	68,462	2511.1	− 2628	−116.9	× 22 / 67	−38.4
Sum, rounded to a whole point						−88

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −76, −72, −84, −86, −88 → −81.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 4 · 2016→2017: 12 · 2017→2018: 2 · 2018→2019: 2 → average 5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5 × 2.66 = 13.3. Upper limit −67.9, lower limit −94.5.

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".

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.