Lexington 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	36,738	2410.9	− 2436	−25.1	× 64 / 397	−4
4	36,739	2434.9	− 2485	−50.1	× 64 / 397	−8.1
5	36,742	2444.9	− 2528	−83.1	× 97 / 397	−20.3
6	36,743	2513.2	− 2552	−38.8	× 64 / 397	−6.3
7	36,746	2511.1	− 2567	−55.9	× 47 / 397	−6.6
8	36,747	2547.2	− 2586	−38.8	× 61 / 397	−6
Sum, rounded to a whole point						−51

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,222	2424.4	− 2436	−11.6	× 67 / 371	−2.1
4	34,225	2477.4	− 2485	−7.6	× 58 / 371	−1.2
5	34,226	2491.4	− 2528	−36.6	× 62 / 371	−6.1
6	34,228	2492.6	− 2552	−59.4	× 88 / 371	−14.1
7	34,230	2586.8	− 2567	19.8	× 54 / 371	2.9
8	34,233	2616.4	− 2586	30.4	× 42 / 371	3.4
Sum, rounded to a whole point						−17

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,834	2418.5	− 2436	−17.5	× 69 / 383	−3.2
4	34,836	2468.5	− 2485	−16.5	× 66 / 383	−2.8
5	34,839	2471.8	− 2528	−56.2	× 63 / 383	−9.2
6	34,841	2482.5	− 2552	−69.5	× 59 / 383	−10.7
7	34,842	2564.9	− 2567	−2.1	× 78 / 383	−0.4
8	34,845	2642.5	− 2586	56.5	× 48 / 383	7.1
Sum, rounded to a whole point						−19

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,844	2410.0	− 2436	−26	× 75 / 400	−4.9
4	34,846	2478.4	− 2485	−6.6	× 67 / 400	−1.1
5	34,848	2484.6	− 2528	−43.4	× 74 / 400	−8
6	34,850	2469.9	− 2552	−82.1	× 59 / 400	−12.1
7	34,852	2579.2	− 2567	12.2	× 54 / 400	1.6
8	34,854	2602.2	− 2586	16.2	× 71 / 400	2.9
Sum, rounded to a whole point						−22

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	35,022	2413.5	− 2436	−22.5	× 58 / 360	−3.6
4	35,023	2473.3	− 2485	−11.7	× 66 / 360	−2.1
5	35,024	2496.9	− 2528	−31.1	× 65 / 360	−5.6
6	35,025	2487.0	− 2552	−65	× 69 / 360	−12.5
7	35,026	2588.8	− 2567	21.8	× 52 / 360	3.1
8	35,027	2643.7	− 2586	57.7	× 50 / 360	8
Sum, rounded to a whole point						−13

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,919	2370.0	− 2436	−66	× 57 / 333	−11.3
4	34,920	2414.4	− 2485	−70.6	× 55 / 333	−11.7
5	34,921	2444.6	− 2528	−83.4	× 62 / 333	−15.5
6	34,922	2472.0	− 2552	−80	× 60 / 333	−14.4
7	34,923	2610.1	− 2567	43.1	× 48 / 333	6.2
8	34,924	2589.7	− 2586	3.7	× 51 / 333	0.6
Sum, rounded to a whole point						−46

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,968	2382.1	− 2436	−53.9	× 45 / 322	−7.5
4	34,969	2419.6	− 2485	−65.4	× 66 / 322	−13.4
5	34,970	2453.5	− 2528	−74.5	× 52 / 322	−12
6	34,971	2473.0	− 2552	−79	× 64 / 322	−15.7
7	34,972	2586.0	− 2567	19	× 48 / 322	2.8
8	34,973	2634.2	− 2586	48.2	× 47 / 322	7
Sum, rounded to a whole point						−39

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,826	2359.4	− 2436	−76.6	× 43 / 320	−10.3
4	34,827	2434.8	− 2485	−50.2	× 50 / 320	−7.8
5	34,828	2424.9	− 2528	−103.1	× 65 / 320	−20.9
6	34,829	2495.9	− 2552	−56.1	× 57 / 320	−10
7	34,830	2565.9	− 2567	−1.1	× 57 / 320	−0.2
8	34,831	2600.8	− 2586	14.8	× 48 / 320	2.2
Sum, rounded to a whole point						−47

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,673	2368.6	− 2436	−67.4	× 57 / 333	−11.5
4	34,674	2406.3	− 2485	−78.7	× 46 / 333	−10.9
5	34,675	2462.5	− 2528	−65.5	× 51 / 333	−10
6	34,676	2502.9	− 2552	−49.1	× 67 / 333	−9.9
7	34,677	2591.1	− 2567	24.1	× 54 / 333	3.9
8	34,678	2609.3	− 2586	23.3	× 58 / 333	4.1
Sum, rounded to a whole point						−34

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −51, −17, −19, −22, −13, −46, −39, −47, −34 → −32
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 34 · 2016→2017: 2 · 2017→2018: 3 · 2018→2019: 9 · 2019→2022: 33 · 2022→2023: 7 · 2023→2024: 8 · 2024→2025: 13 → average 13.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.6 × 2.66 = 36.2. Upper limit 4.2, lower limit −68.2.

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.