New Day Academy: 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.

3rd The average 3rd grader scores 11 points under the grade 3 bar. 2425 vs. 2436.
4th The average 4th grader scores 11 points under the grade 4 bar. 2474 vs. 2485.
5th The average 5th grader scores just under the grade 4 bar. 2477 vs. 2485. The 5th-grade bar is 2528.
7th The average 7th grader scores 14 points under the grade 7 bar. 2553 vs. 2567.
8th The average 8th grader scores 14 points under the grade 7 bar. 2553 vs. 2567. The 8th-grade bar is 2586.
11th The average 11th grader scores just under the grade 8 bar. 2582 vs. 2586. The 11th-grade bar is 2628.

2017 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	19,867	2365.5	− 2436	−70.5	× 36 / 163	−15.6
4	19,870	2432.6	− 2485	−52.4	× 14 / 163	−4.5
5	19,871	2474.5	− 2528	−53.5	× 23 / 163	−7.5
6	19,874	2494.5	− 2552	−57.5	× 26 / 163	−9.2
7	19,875	2517.7	− 2567	−49.3	× 18 / 163	−5.4
8	19,878	2510.8	− 2586	−75.2	× 31 / 163	−14.3
11	19,879	2532.3	− 2628	−95.7	× 15 / 163	−8.8
Sum, rounded to a whole point						−65

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,850	2379.4	− 2436	−56.6	× 25 / 167	−8.5
4	18,852	2426.2	− 2485	−58.8	× 34 / 167	−12
5	18,854	2476.3	− 2528	−51.7	× 15 / 167	−4.6
6	18,855	2506.0	− 2552	−46	× 25 / 167	−6.9
7	18,858	2536.5	− 2567	−30.5	× 23 / 167	−4.2
8	18,860	2510.7	− 2586	−75.3	× 23 / 167	−10.4
11	18,861	2589.4	− 2628	−38.6	× 22 / 167	−5.1
Sum, rounded to a whole point						−52

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	19,179	2425.1	− 2436	−10.9	× 19 / 112	−1.8
4	19,180	2474.4	− 2485	−10.6	× 13 / 112	−1.2
5	19,183	2477.0	− 2528	−51	× 28 / 112	−12.8
7	19,187	2552.8	− 2567	−14.2	× 17 / 112	−2.2
8	19,189	2553.3	− 2586	−32.7	× 18 / 112	−5.3
11	19,190	2581.6	− 2628	−46.4	× 17 / 112	−7
Sum, rounded to a whole point						−30

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −65, −52, −30 → −49
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: 22 → average 17.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 17.5 × 2.66 = 46.6. Upper limit −2.4, lower limit −95.6.

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.