Mercey Springs 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 bars

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

All students

3rd The average 3rd grader scores 46 points under the grade 3 bar. 2390 vs. 2436.
4th The average 4th grader scores 48 points under the grade 3 bar. 2388 vs. 2436. The 4th-grade bar is 2485.
5th The average 5th grader scores 29 points under the grade 3 bar. 2407 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 34 points under the grade 4 bar. 2451 vs. 2485. The 6th-grade bar is 2552.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 76 students 38 points under the grade 3 bar. 4th 66 students 29 points under the grade 3 bar. 5th 73 students 23 points under the grade 3 bar. 6th 71 students 10 points under the grade 4 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 19 students 78 points under the grade 3 bar. 4th 23 students 102 points under the grade 3 bar. 5th 17 students 55 points under the grade 3 bar. 6th 19 students 73 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	44,236	2397.5	− 2436	−38.5	× 49 / 181	−10.4
4	44,237	2458.4	− 2485	−26.6	× 51 / 181	−7.5
5	44,240	2474.3	− 2528	−53.7	× 33 / 181	−9.8
6	44,241	2477.3	− 2552	−74.7	× 48 / 181	−19.8
Sum, rounded to a whole point						−48

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	40,934	2418.4	− 2436	−17.6	× 62 / 224	−4.9
4	40,936	2451.9	− 2485	−33.1	× 66 / 224	−9.8
5	40,937	2468.9	− 2528	−59.1	× 64 / 224	−16.9
6	40,940	2479.2	− 2552	−72.8	× 32 / 224	−10.4
Sum, rounded to a whole point						−42

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,939	2429.3	− 2436	−6.7	× 57 / 254	−1.5
4	41,941	2472.4	− 2485	−12.6	× 65 / 254	−3.2
5	41,943	2461.5	− 2528	−66.5	× 66 / 254	−17.3
6	41,945	2491.9	− 2552	−60.1	× 66 / 254	−15.6
Sum, rounded to a whole point						−38

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,956	2397.8	− 2436	−38.2	× 101 / 449	−8.6
4	41,957	2400.4	− 2485	−84.6	× 110 / 449	−20.7
5	41,960	2454.4	− 2528	−73.6	× 132 / 449	−21.6
6	41,961	2469.5	− 2552	−82.5	× 106 / 449	−19.5
Sum, rounded to a whole point						−70

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,102	2419.9	− 2436	−16.1	× 107 / 433	−4
4	42,103	2445.3	− 2485	−39.7	× 90 / 433	−8.3
5	42,104	2451.4	− 2528	−76.6	× 108 / 433	−19.1
6	42,105	2482.7	− 2552	−69.3	× 128 / 433	−20.5
Sum, rounded to a whole point						−52

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,855	2399.8	− 2436	−36.2	× 93 / 373	−9
4	41,856	2396.7	− 2485	−88.3	× 91 / 373	−21.5
5	41,857	2434.2	− 2528	−93.8	× 92 / 373	−23.1
6	41,858	2443.0	− 2552	−109	× 97 / 373	−28.3
Sum, rounded to a whole point						−82

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,882	2374.6	− 2436	−61.4	× 87 / 366	−14.6
4	41,883	2426.5	− 2485	−58.5	× 92 / 366	−14.7
5	41,884	2446.5	− 2528	−81.5	× 93 / 366	−20.7
6	41,885	2457.0	− 2552	−95	× 94 / 366	−24.4
Sum, rounded to a whole point						−74

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,713	2380.8	− 2436	−55.2	× 89 / 373	−13.2
4	41,714	2403.4	− 2485	−81.6	× 90 / 373	−19.7
5	41,715	2459.2	− 2528	−68.8	× 99 / 373	−18.3
6	41,716	2429.4	− 2552	−122.6	× 95 / 373	−31.2
Sum, rounded to a whole point						−82

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,476	2390.4	− 2436	−45.6	× 85 / 364	−10.6
4	41,477	2403.6	− 2485	−81.4	× 92 / 364	−20.6
5	41,478	2432.4	− 2528	−95.6	× 89 / 364	−23.4
6	41,479	2470.4	− 2552	−81.6	× 98 / 364	−22
Sum, rounded to a whole point						−77

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	41,382	2389.9	− 2436	−46.1	× 95 / 364	−12
4	41,383	2388.0	− 2485	−97	× 89 / 364	−23.7
5	41,384	2407.2	− 2528	−120.8	× 90 / 364	−29.9
6	41,385	2451.2	− 2552	−100.8	× 90 / 364	−24.9
Sum, rounded to a whole point						−91

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −48, −42, −38, −70, −52, −82, −74, −82, −77, −91 → −65.6
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: 32 · 2018→2019: 18 · 2019→2022: 30 · 2022→2023: 8 · 2023→2024: 8 · 2024→2025: 5 · 2025→2026: 14 → average 13.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.9 × 2.66 = 37. Upper limit −28.6, lower limit −102.6.

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, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.