Lammersville 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.

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	81,457	2419.0	− 2436	−17	× 21 / 147	−2.4
4	81,458	2457.3	− 2485	−27.7	× 30 / 147	−5.7
5	81,461	2531.2	− 2528	3.2	× 18 / 147	0.4
6	81,462	2519.8	− 2552	−32.2	× 20 / 147	−4.4
7	81,465	2517.5	− 2567	−49.5	× 29 / 147	−9.8
8	81,466	2553.4	− 2586	−32.6	× 29 / 147	−6.4
Sum, rounded to a whole point						−28

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,509	2420.9	− 2436	−15.1	× 22 / 129	−2.6
4	75,510	2459.6	− 2485	−25.4	× 22 / 129	−4.3
5	75,512	2518.7	− 2528	−9.3	× 21 / 129	−1.5
6	75,515	2572.9	− 2552	20.9	× 16 / 129	2.6
7	75,516	2530.3	− 2567	−36.7	× 21 / 129	−6
8	75,518	2572.3	− 2586	−13.7	× 27 / 129	−2.9
Sum, rounded to a whole point						−15

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,527	2456.2	− 2436	20.2	× 25 / 142	3.6
4	77,529	2501.0	− 2485	16	× 24 / 142	2.7
5	77,532	2499.1	− 2528	−28.9	× 23 / 142	−4.7
6	77,534	2544.6	− 2552	−7.4	× 31 / 142	−1.6
7	77,536	2580.4	− 2567	13.4	× 17 / 142	1.6
8	77,537	2576.1	− 2586	−9.9	× 22 / 142	−1.5
Sum, rounded to a whole point						0

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,713	2400.2	− 2436	−35.8	× 23 / 149	−5.5
4	77,714	2486.3	− 2485	1.3	× 32 / 149	0.3
5	77,717	2515.9	− 2528	−12.1	× 26 / 149	−2.1
6	77,719	2524.4	− 2552	−27.6	× 21 / 149	−3.9
7	77,720	2592.9	− 2567	25.9	× 24 / 149	4.2
8	77,723	2572.8	− 2586	−13.2	× 23 / 149	−2
Sum, rounded to a whole point						−9

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,247	2444.0	− 2436	8	× 22 / 143	1.2
4	78,248	2470.9	− 2485	−14.1	× 20 / 143	−2
5	78,249	2508.4	− 2528	−19.6	× 28 / 143	−3.8
6	78,250	2577.0	− 2552	25	× 25 / 143	4.4
7	78,251	2575.0	− 2567	8	× 22 / 143	1.2
8	78,252	2620.7	− 2586	34.7	× 26 / 143	6.3
Sum, rounded to a whole point						7

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,407	2472.0	− 2436	36	× 63 / 288	7.9
4	78,408	2509.2	− 2485	24.2	× 42 / 288	3.5
5	78,409	2518.5	− 2528	−9.5	× 40 / 288	−1.3
6	78,410	2579.4	− 2552	27.4	× 60 / 288	5.7
7	78,411	2581.0	− 2567	14	× 38 / 288	1.8
8	78,412	2536.3	− 2586	−49.7	× 45 / 288	−7.8
Sum, rounded to a whole point						10

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,395	2440.7	− 2436	4.7	× 25 / 196	0.6
4	78,396	2511.3	− 2485	26.3	× 37 / 196	5
5	78,397	2526.6	− 2528	−1.4	× 35 / 196	−0.3
6	78,398	2525.6	− 2552	−26.4	× 40 / 196	−5.4
7	78,399	2526.2	− 2567	−40.8	× 26 / 196	−5.4
8	78,400	2553.5	− 2586	−32.5	× 33 / 196	−5.5
Sum, rounded to a whole point						−11

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,425	2435.1	− 2436	−0.9	× 21 / 142	−0.1
4	78,426	2453.8	− 2485	−31.2	× 25 / 142	−5.5
5	78,427	2514.4	− 2528	−13.6	× 20 / 142	−1.9
6	78,428	2488.7	− 2552	−63.3	× 22 / 142	−9.8
7	78,429	2513.4	− 2567	−53.6	× 31 / 142	−11.7
8	78,430	2576.8	− 2586	−9.2	× 23 / 142	−1.5
Sum, rounded to a whole point						−31

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,093	2463.9	− 2436	27.9	× 19 / 172	3.1
4	78,094	2475.3	− 2485	−9.7	× 33 / 172	−1.9
5	78,095	2493.9	− 2528	−34.1	× 30 / 172	−5.9
6	78,096	2562.7	− 2552	10.7	× 33 / 172	2.1
7	78,097	2496.3	− 2567	−70.7	× 27 / 172	−11.1
8	78,098	2590.3	− 2586	4.3	× 30 / 172	0.8
Sum, rounded to a whole point						−13

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −28, −15, 0, −9, 7, 10, −11, −31, −13 → −10
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 15 · 2017→2018: 9 · 2018→2019: 16 · 2019→2022: 3 · 2022→2023: 21 · 2023→2024: 20 · 2024→2025: 18 → average 14.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.4 × 2.66 = 38.3. Upper limit 28.3, lower limit −48.3.

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.