Harvest Middle: 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 3 bar

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

6th The average 6th grader scores 47 points under the grade 3 bar. 2389 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores just under the grade 3 bar. 2433 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 3 bar. 2432 vs. 2436. The 8th-grade bar is 2586.

2022 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
6	46,821	2459.3	− 2552	−92.7	× 178 / 659	−25
7	46,824	2484.4	− 2567	−82.6	× 250 / 659	−31.3
8	46,825	2506.7	− 2586	−79.3	× 231 / 659	−27.8
Sum, rounded to a whole point						−84

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	43,534	2466.4	− 2552	−85.6	× 175 / 676	−22.2
7	43,536	2465.9	− 2567	−101.1	× 259 / 676	−38.7
8	43,537	2504.8	− 2586	−81.2	× 242 / 676	−29.1
Sum, rounded to a whole point						−90

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	44,603	2421.5	− 2552	−130.5	× 213 / 732	−38
7	44,604	2472.2	− 2567	−94.8	× 264 / 732	−34.2
8	44,607	2475.2	− 2586	−110.8	× 255 / 732	−38.6
Sum, rounded to a whole point						−111

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	44,618	2460.1	− 2552	−91.9	× 234 / 778	−27.6
7	44,619	2460.2	− 2567	−106.8	× 284 / 778	−39
8	44,622	2473.2	− 2586	−112.8	× 260 / 778	−37.7
Sum, rounded to a whole point						−104

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	44,756	2449.6	− 2552	−102.4	× 197 / 782	−25.8
7	44,757	2481.2	− 2567	−85.8	× 312 / 782	−34.2
8	44,758	2473.6	− 2586	−112.4	× 273 / 782	−39.2
Sum, rounded to a whole point						−99

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	44,506	2388.9	− 2552	−163.1	× 87 / 504	−28.2
7	44,507	2432.5	− 2567	−134.5	× 208 / 504	−55.5
8	44,508	2431.5	− 2586	−154.5	× 209 / 504	−64.1
Sum, rounded to a whole point						−148

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −84, −90, −111, −104, −99, −148 → −106
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: 21 · 2017→2018: 7 · 2018→2019: 5 · 2019→2022: 49 → average 17.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 17.6 × 2.66 = 46.8. Upper limit −59.2, lower limit −152.8.

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.