Heritage 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	49,778	2375.4	− 2436	−60.6	× 72 / 291	−15
4	49,780	2423.8	− 2485	−61.2	× 79 / 291	−16.6
5	49,782	2438.8	− 2528	−89.2	× 66 / 291	−20.2
6	49,784	2441.8	− 2552	−110.2	× 74 / 291	−28
Sum, rounded to a whole point						−80

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	46,263	2437.9	− 2436	1.9	× 69 / 281	0.5
4	46,266	2420.3	− 2485	−64.7	× 72 / 281	−16.6
5	46,267	2465.0	− 2528	−63	× 75 / 281	−16.8
6	46,270	2446.1	− 2552	−105.9	× 65 / 281	−24.5
Sum, rounded to a whole point						−57

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,506	2420.2	− 2436	−15.8	× 74 / 297	−3.9
4	47,507	2446.6	− 2485	−38.4	× 71 / 297	−9.2
5	47,509	2464.2	− 2528	−63.8	× 72 / 297	−15.5
6	47,512	2482.8	− 2552	−69.2	× 80 / 297	−18.6
Sum, rounded to a whole point						−47

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,516	2415.9	− 2436	−20.1	× 48 / 255	−3.8
4	47,518	2436.4	− 2485	−48.6	× 75 / 255	−14.3
5	47,520	2474.2	− 2528	−53.8	× 60 / 255	−12.7
6	47,522	2465.4	− 2552	−86.6	× 72 / 255	−24.5
Sum, rounded to a whole point						−55

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,695	2430.3	− 2436	−5.7	× 62 / 250	−1.4
4	47,696	2446.5	− 2485	−38.5	× 46 / 250	−7.1
5	47,697	2454.3	− 2528	−73.7	× 77 / 250	−22.7
6	47,698	2496.9	− 2552	−55.1	× 65 / 250	−14.3
Sum, rounded to a whole point						−46

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,545	2399.3	− 2436	−36.7	× 55 / 210	−9.6
4	47,546	2456.7	− 2485	−28.3	× 43 / 210	−5.8
5	47,547	2426.7	− 2528	−101.3	× 56 / 210	−27
6	47,548	2497.1	− 2552	−54.9	× 56 / 210	−14.6
Sum, rounded to a whole point						−57

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,531	2394.0	− 2436	−42	× 48 / 202	−10
4	47,532	2436.7	− 2485	−48.3	× 57 / 202	−13.6
5	47,533	2475.8	− 2528	−52.2	× 43 / 202	−11.1
6	47,534	2483.5	− 2552	−68.5	× 54 / 202	−18.3
Sum, rounded to a whole point						−53

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,380	2393.8	− 2436	−42.2	× 49 / 201	−10.3
4	47,381	2443.6	− 2485	−41.4	× 48 / 201	−9.9
5	47,382	2463.0	− 2528	−65	× 59 / 201	−19.1
6	47,383	2520.6	− 2552	−31.4	× 45 / 201	−7
Sum, rounded to a whole point						−46

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	47,136	2417.2	− 2436	−18.8	× 43 / 195	−4.1
4	47,137	2433.3	− 2485	−51.7	× 46 / 195	−12.2
5	47,138	2465.7	− 2528	−62.3	× 49 / 195	−15.7
6	47,139	2490.2	− 2552	−61.8	× 57 / 195	−18.1
Sum, rounded to a whole point						−50

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −80, −57, −47, −55, −46, −57, −53, −46, −50 → −54.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 23 · 2016→2017: 10 · 2017→2018: 8 · 2018→2019: 9 · 2019→2022: 11 · 2022→2023: 4 · 2023→2024: 7 · 2024→2025: 4 → average 9.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.5 × 2.66 = 25.3. Upper limit −29.3, lower limit −79.9.

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.