Rancho Minerva 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 27 points under the grade 3 bar. 2409 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 29 points under the grade 3 bar. 2407 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 22 points under the grade 3 bar. 2415 vs. 2436. The 8th-grade bar is 2586.

2024 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	76,553	2441.9	− 2552	−110.1	× 252 / 828	−33.5
7	76,555	2471.0	− 2567	−96	× 281 / 828	−32.6
8	76,557	2455.6	− 2586	−130.4	× 295 / 828	−46.5
Sum, rounded to a whole point						−113

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	70,950	2432.8	− 2552	−119.2	× 278 / 817	−40.6
7	70,953	2454.3	− 2567	−112.7	× 259 / 817	−35.7
8	70,955	2459.3	− 2586	−126.7	× 280 / 817	−43.4
Sum, rounded to a whole point						−120

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,810	2447.2	− 2552	−104.8	× 250 / 771	−34
7	72,812	2445.0	− 2567	−122	× 273 / 771	−43.2
8	72,814	2448.8	− 2586	−137.2	× 248 / 771	−44.1
Sum, rounded to a whole point						−121

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	72,938	2469.8	− 2552	−82.2	× 258 / 755	−28.1
7	72,941	2437.9	− 2567	−129.1	× 230 / 755	−39.3
8	72,942	2457.9	− 2586	−128.1	× 267 / 755	−45.3
Sum, rounded to a whole point						−113

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	73,398	2467.0	− 2552	−85	× 222 / 678	−27.8
7	73,399	2474.9	− 2567	−92.1	× 232 / 678	−31.5
8	73,400	2471.4	− 2586	−114.6	× 224 / 678	−37.9
Sum, rounded to a whole point						−97

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	73,520	2402.8	− 2552	−149.2	× 187 / 587	−47.5
7	73,521	2428.0	− 2567	−139	× 194 / 587	−45.9
8	73,522	2438.9	− 2586	−147.1	× 206 / 587	−51.6
Sum, rounded to a whole point						−145

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	73,504	2389.8	− 2552	−162.2	× 158 / 510	−50.3
7	73,505	2409.1	− 2567	−157.9	× 170 / 510	−52.6
8	73,506	2429.8	− 2586	−156.2	× 182 / 510	−55.7
Sum, rounded to a whole point						−159

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	73,496	2408.7	− 2552	−143.3	× 135 / 425	−45.5
7	73,497	2407.0	− 2567	−160	× 141 / 425	−53.1
8	73,498	2414.5	− 2586	−171.5	× 149 / 425	−60.1
Sum, rounded to a whole point						−159

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −113, −120, −121, −113, −97, −145, −159, −159 → −128.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 1 · 2017→2018: 8 · 2018→2019: 16 · 2019→2022: 48 · 2022→2023: 14 · 2023→2024: 0 → average 13.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.4 × 2.66 = 35.6. Upper limit −92.8, lower limit −164.

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.