Loleta Elementary: 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.

Many students here are still learning English. The math test is written in English, with some translation help, and many of its questions are word problems. In 2025, 10 of the 11 students who took the math test were English learners.

8th The average 8th grader scores 12 points under the grade 3 bar. 2424 vs. 2436. The 8th-grade bar is 2586.

2025 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
3	13,942	2377.5	− 2436	−58.5	× 13 / 55	−13.8
4	13,945	2361.4	− 2485	−123.6	× 14 / 55	−31.5
6	13,949	2431.7	− 2552	−120.3	× 13 / 55	−28.4
7	13,950	2481.9	− 2567	−85.1	× 15 / 55	−23.2
Sum, rounded to a whole point						−97

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	12,975	2398.9	− 2485	−86.1	× 15 / 29	−44.5
5	12,977	2355.8	− 2528	−172.2	× 14 / 29	−83.1
Sum, rounded to a whole point						−128

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,296	2365.3	− 2436	−70.7	× 12 / 38	−22.3
5	13,300	2422.6	− 2528	−105.4	× 15 / 38	−41.6
6	13,302	2346.7	− 2552	−205.3	× 11 / 38	−59.4
Sum, rounded to a whole point						−123

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,299	2391.1	− 2436	−44.9	× 13 / 38	−15.4
6	13,306	2404.5	− 2552	−147.5	× 14 / 38	−54.3
7	13,307	2448.2	− 2567	−118.8	× 11 / 38	−34.4
Sum, rounded to a whole point						−104

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	13,176	2352.0	− 2485	−133	× 12 / 38	−42
6	13,178	2385.2	− 2552	−166.8	× 15 / 38	−65.8
7	13,179	2416.9	− 2567	−150.1	× 11 / 38	−43.5
Sum, rounded to a whole point						−151

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	13,446	2335.3	− 2436	−100.7	× 12 / 40	−30.2
4	13,447	2345.5	− 2485	−139.5	× 11 / 40	−38.4
7	13,450	2418.4	− 2567	−148.6	× 17 / 40	−63.2
Sum, rounded to a whole point						−132

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	13,426	2382.0	− 2552	−170	× 11 / 25	−74.8
8	13,428	2380.1	− 2586	−205.9	× 14 / 25	−115.3
Sum, rounded to a whole point						−190

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	13,353	2424.2	− 2586	−161.8	× 11 / 11	−161.8
Sum, rounded to a whole point						−162

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −97, −128, −123, −104, −151, −132, −190, −162 → −135.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 31 · 2016→2017: 5 · 2017→2018: 19 · 2018→2021: 47 · 2021→2022: 19 · 2022→2023: 58 · 2023→2025: 28 → average 29.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 29.6 × 2.66 = 78.7. Upper limit −57.2, lower limit −214.6.

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, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.