Keppel Academy: 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 8.

5th The average 5th grader scores 40 points under the grade 5 bar. 2488 vs. 2528.
6th The average 6th grader scores just under the grade 4 bar. 2483 vs. 2485. The 6th-grade bar is 2552.
7th The average 7th grader scores 37 points under the grade 4 bar. 2449 vs. 2485. The 7th-grade bar is 2567.
8th The average 8th grader scores 40 points under the grade 5 bar. 2488 vs. 2528. 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
5	24,801	2454.7	− 2528	−73.3	× 65 / 385	−12.4
6	24,804	2478.4	− 2552	−73.6	× 100 / 385	−19.1
7	24,805	2504.8	− 2567	−62.2	× 98 / 385	−15.8
8	24,808	2518.7	− 2586	−67.3	× 122 / 385	−21.3
Sum, rounded to a whole point						−69

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,098	2452.7	− 2528	−75.3	× 64 / 355	−13.6
6	23,099	2470.1	− 2552	−81.9	× 83 / 355	−19.1
7	23,102	2501.2	− 2567	−65.8	× 111 / 355	−20.6
8	23,103	2528.1	− 2586	−57.9	× 97 / 355	−15.8
Sum, rounded to a whole point						−69

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,547	2463.3	− 2528	−64.7	× 59 / 343	−11.1
6	23,550	2478.9	− 2552	−73.1	× 78 / 343	−16.6
7	23,552	2510.1	− 2567	−56.9	× 88 / 343	−14.6
8	23,553	2514.0	− 2586	−72	× 118 / 343	−24.8
Sum, rounded to a whole point						−67

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,567	2473.9	− 2528	−54.1	× 66 / 343	−10.4
6	23,569	2483.1	− 2552	−68.9	× 95 / 343	−19.1
7	23,571	2490.8	− 2567	−76.2	× 88 / 343	−19.5
8	23,573	2518.2	− 2586	−67.8	× 94 / 343	−18.6
Sum, rounded to a whole point						−68

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,740	2467.8	− 2528	−60.2	× 41 / 297	−8.3
6	23,741	2467.6	− 2552	−84.4	× 80 / 297	−22.7
7	23,742	2488.7	− 2567	−78.3	× 88 / 297	−23.2
8	23,743	2503.9	− 2586	−82.1	× 88 / 297	−24.3
Sum, rounded to a whole point						−79

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,683	2454.3	− 2528	−73.7	× 53 / 225	−17.4
6	23,684	2475.5	− 2552	−76.5	× 51 / 225	−17.3
7	23,685	2516.8	− 2567	−50.2	× 66 / 225	−14.7
8	23,686	2464.2	− 2586	−121.8	× 55 / 225	−29.8
Sum, rounded to a whole point						−79

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,646	2483.2	− 2528	−44.8	× 44 / 224	−8.8
6	23,647	2448.7	− 2552	−103.3	× 59 / 224	−27.2
7	23,648	2494.4	− 2567	−72.6	× 57 / 224	−18.5
8	23,649	2508.9	− 2586	−77.1	× 64 / 224	−22
Sum, rounded to a whole point						−77

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	23,498	2487.6	− 2528	−40.4	× 45 / 214	−8.5
6	23,499	2483.3	− 2552	−68.7	× 55 / 214	−17.7
7	23,500	2448.5	− 2567	−118.5	× 57 / 214	−31.6
8	23,501	2487.9	− 2586	−98.1	× 57 / 214	−26.1
Sum, rounded to a whole point						−84

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −69, −69, −67, −68, −79, −79, −77, −84 → −74
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 2 · 2017→2018: 1 · 2018→2019: 11 · 2019→2022: 0 · 2022→2023: 2 · 2023→2024: 7 → average 3.3
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 3.3 × 2.66 = 8.8. Upper limit −65.2, lower limit −82.8.

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, 2023–24.