Ivy Bound Academy Math, Science, And Technology Ch: english

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
5	28,633	2475.5	− 2502	−26.5	× 30 / 155	−5.1
6	28,635	2496.5	− 2531	−34.5	× 81 / 155	−18
7	28,637	2512.9	− 2552	−39.1	× 44 / 155	−11.1
Sum, rounded to a whole point						−34

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	26,745	2431.5	− 2502	−70.5	× 24 / 190	−8.9
6	26,748	2524.6	− 2531	−6.4	× 46 / 190	−1.5
7	26,750	2536.6	− 2552	−15.4	× 75 / 190	−6.1
8	26,751	2538.1	− 2567	−28.9	× 45 / 190	−6.8
Sum, rounded to a whole point						−23

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	27,252	2475.8	− 2502	−26.2	× 21 / 181	−3
6	27,254	2464.1	− 2531	−66.9	× 48 / 181	−17.7
7	27,256	2533.3	− 2552	−18.7	× 51 / 181	−5.3
8	27,259	2530.3	− 2567	−36.7	× 61 / 181	−12.4
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
5	27,210	2388.6	− 2502	−113.4	× 19 / 149	−14.5
6	27,212	2490.3	− 2531	−40.7	× 52 / 149	−14.2
7	27,214	2480.5	− 2552	−71.5	× 40 / 149	−19.2
8	27,216	2527.2	− 2567	−39.8	× 38 / 149	−10.2
Sum, rounded to a whole point						−58

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	27,307	2383.4	− 2502	−118.6	× 16 / 150	−12.7
6	27,308	2475.0	− 2531	−56	× 42 / 150	−15.7
7	27,309	2519.5	− 2552	−32.5	× 53 / 150	−11.5
8	27,310	2493.0	− 2567	−74	× 39 / 150	−19.2
Sum, rounded to a whole point						−59

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	26,459	2406.9	− 2531	−124.1	× 29 / 116	−31
7	26,460	2507.6	− 2552	−44.4	× 41 / 116	−15.7
8	26,461	2476.3	− 2567	−90.7	× 46 / 116	−36
Sum, rounded to a whole point						−83

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	27,215	2460.0	− 2531	−71	× 29 / 92	−22.4
7	27,216	2422.4	− 2552	−129.6	× 26 / 92	−36.6
8	27,217	2538.0	− 2567	−29	× 37 / 92	−11.7
Sum, rounded to a whole point						−71

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −34, −23, −38, −58, −59, −83, −71 → −52.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 15 · 2017→2018: 20 · 2018→2019: 1 · 2019→2021: 24 · 2021→2022: 12 → average 13.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.8 × 2.66 = 36.7. Upper limit −15.6, lower limit −89.

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.