Walter Colton: 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 7 bar

The state's English test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 8.

8th The average 8th grader scores 14 points under the grade 7 bar. 2538 vs. 2552. The 8th-grade bar is 2567.

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
6	45,963	2480.9	− 2531	−50.1	× 239 / 717	−16.7
7	45,966	2518.6	− 2552	−33.4	× 230 / 717	−10.7
8	45,967	2551.2	− 2567	−15.8	× 248 / 717	−5.5
Sum, rounded to a whole point						−33

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	42,670	2513.1	− 2531	−17.9	× 208 / 670	−5.6
7	42,671	2513.2	− 2552	−38.8	× 237 / 670	−13.7
8	42,674	2549.7	− 2567	−17.3	× 225 / 670	−5.8
Sum, rounded to a whole point						−25

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	43,738	2490.1	− 2531	−40.9	× 231 / 629	−15
7	43,740	2510.5	− 2552	−41.5	× 186 / 629	−12.3
8	43,743	2521.5	− 2567	−45.5	× 212 / 629	−15.3
Sum, rounded to a whole point						−43

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	43,761	2474.4	− 2531	−56.6	× 172 / 569	−17.1
7	43,764	2506.7	− 2552	−45.3	× 215 / 569	−17.1
8	43,765	2513.4	− 2567	−53.6	× 182 / 569	−17.1
Sum, rounded to a whole point						−51

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	43,884	2500.7	− 2531	−30.3	× 183 / 554	−10
7	43,885	2507.5	− 2552	−44.5	× 165 / 554	−13.3
8	43,886	2514.6	− 2567	−52.4	× 206 / 554	−19.5
Sum, rounded to a whole point						−43

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
7	43,620	2521.3	− 2552	−30.7	× 132 / 310	−13.1
8	43,621	2540.4	− 2567	−26.6	× 178 / 310	−15.3
Sum, rounded to a whole point						−28

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	43,614	2538.4	− 2567	−28.6	× 133 / 133	−28.6
Sum, rounded to a whole point						−29

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −33, −25, −43, −51, −43, −28, −29 → −36
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 18 · 2017→2018: 8 · 2018→2019: 8 · 2019→2022: 15 · 2022→2023: 1 → average 9.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.7 × 2.66 = 25.8. Upper limit −10.2, lower limit −61.8.

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.