Los Altos 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	39,484	2428.4	− 2436	−7.6	× 57 / 196	−2.2
4	39,486	2469.5	− 2485	−15.5	× 70 / 196	−5.5
5	39,488	2515.5	− 2528	−12.5	× 69 / 196	−4.4
Sum, rounded to a whole point						−12

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	36,590	2444.5	− 2436	8.5	× 57 / 176	2.8
4	36,593	2478.9	− 2485	−6.1	× 60 / 176	−2.1
5	36,594	2509.6	− 2528	−18.4	× 59 / 176	−6.2
Sum, rounded to a whole point						−5

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,356	2446.7	− 2436	10.7	× 73 / 190	4.1
4	37,359	2504.3	− 2485	19.3	× 55 / 190	5.6
5	37,360	2497.9	− 2528	−30.1	× 62 / 190	−9.8
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	37,310	2433.1	− 2436	−2.9	× 80 / 209	−1.1
4	37,312	2490.7	− 2485	5.7	× 79 / 209	2.2
5	37,314	2506.1	− 2528	−21.9	× 50 / 209	−5.2
Sum, rounded to a whole point						−4

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,513	2438.3	− 2436	2.3	× 81 / 234	0.8
4	37,514	2490.2	− 2485	5.2	× 80 / 234	1.8
5	37,515	2513.8	− 2528	−14.2	× 73 / 234	−4.4
Sum, rounded to a whole point						−2

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,420	2416.7	− 2436	−19.3	× 63 / 189	−6.4
4	37,421	2473.7	− 2485	−11.3	× 67 / 189	−4
5	37,422	2493.9	− 2528	−34.1	× 59 / 189	−10.6
Sum, rounded to a whole point						−21

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,451	2466.4	− 2436	30.4	× 59 / 188	9.5
4	37,452	2451.1	− 2485	−33.9	× 66 / 188	−11.9
5	37,453	2494.6	− 2528	−33.4	× 63 / 188	−11.2
Sum, rounded to a whole point						−14

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,303	2446.0	− 2436	10	× 57 / 182	3.1
4	37,304	2480.8	− 2485	−4.2	× 60 / 182	−1.4
5	37,305	2458.1	− 2528	−69.9	× 65 / 182	−25
Sum, rounded to a whole point						−23

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	37,116	2427.3	− 2436	−8.7	× 67 / 194	−3
4	37,117	2486.9	− 2485	1.9	× 62 / 194	0.6
5	37,118	2494.5	− 2528	−33.5	× 65 / 194	−11.2
Sum, rounded to a whole point						−14

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −12, −5, 0, −4, −2, −21, −14, −23, −14 → −10.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 7 · 2016→2017: 5 · 2017→2018: 4 · 2018→2019: 2 · 2019→2022: 19 · 2022→2023: 7 · 2023→2024: 9 · 2024→2025: 9 → average 7.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.8 × 2.66 = 20.7. Upper limit 10.1, lower limit −31.3.

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.