Worthington Elementary: 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.

Measured against the grade bars

The state's English test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 6.

3rd The average 3rd grader scores 122 points under the grade 3 bar. 2310 vs. 2432.
4th The average 4th grader scores 79 points under the grade 3 bar. 2353 vs. 2432. The 4th-grade bar is 2473.
5th The average 5th grader scores 29 points under the grade 4 bar. 2444 vs. 2473. The 5th-grade bar is 2502.
6th The average 6th grader scores 16 points under the grade 3 bar. 2416 vs. 2432. The 6th-grade bar is 2531.

2023 results. The English test covers reading, writing, listening and research together. "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	24,591	2344.1	− 2432	−87.9	× 81 / 242	−29.4
4	24,593	2422.3	− 2473	−50.7	× 85 / 242	−17.8
5	24,595	2470.9	− 2502	−31.1	× 76 / 242	−9.8
Sum, rounded to a whole point						−57

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,950	2357.3	− 2432	−74.7	× 75 / 227	−24.7
4	22,952	2406.3	− 2473	−66.7	× 74 / 227	−21.7
5	22,953	2452.9	− 2502	−49.1	× 78 / 227	−16.9
Sum, rounded to a whole point						−63

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,400	2348.0	− 2432	−84	× 73 / 221	−27.7
4	23,402	2421.8	− 2473	−51.2	× 75 / 221	−17.4
5	23,405	2434.9	− 2502	−67.1	× 73 / 221	−22.2
Sum, rounded to a whole point						−67

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,409	2349.3	− 2432	−82.7	× 65 / 200	−26.9
4	23,411	2397.7	− 2473	−75.3	× 65 / 200	−24.5
5	23,413	2461.3	− 2502	−40.7	× 70 / 200	−14.2
Sum, rounded to a whole point						−66

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,579	2374.3	− 2432	−57.7	× 57 / 192	−17.1
4	23,580	2405.0	− 2473	−68	× 71 / 192	−25.1
5	23,581	2463.4	− 2502	−38.6	× 64 / 192	−12.9
Sum, rounded to a whole point						−55

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,972	2351.1	− 2432	−80.9	× 63 / 218	−23.4
4	22,973	2378.8	− 2473	−94.2	× 56 / 218	−24.2
5	22,974	2459.5	− 2502	−42.5	× 58 / 218	−11.3
6	22,975	2432.8	− 2531	−98.2	× 41 / 218	−18.5
Sum, rounded to a whole point						−77

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,508	2344.1	− 2432	−87.9	× 54 / 200	−23.7
4	23,509	2393.4	− 2473	−79.6	× 66 / 200	−26.3
5	23,510	2457.0	− 2502	−45	× 58 / 200	−13.1
6	23,511	2472.5	− 2531	−58.5	× 22 / 200	−6.4
Sum, rounded to a whole point						−69

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	23,481	2310.3	− 2432	−121.7	× 52 / 198	−32
4	23,482	2353.4	− 2473	−119.6	× 51 / 198	−30.8
5	23,483	2444.2	− 2502	−57.8	× 65 / 198	−19
6	23,484	2415.9	− 2531	−115.1	× 30 / 198	−17.4
Sum, rounded to a whole point						−99

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −57, −63, −67, −66, −55, −77, −69, −99 → −69.1
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: 4 · 2017→2018: 1 · 2018→2019: 11 · 2019→2021: 22 · 2021→2022: 8 · 2022→2023: 30 → average 11.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 11.7 × 2.66 = 31.1. Upper limit −38, lower limit −100.2.

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.