Golden Hill K-8: 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	73,494	2378.6	− 2436	−57.4	× 37 / 254	−8.4
4	73,497	2422.8	− 2485	−62.2	× 44 / 254	−10.8
5	73,498	2430.3	− 2528	−97.7	× 42 / 254	−16.2
6	73,501	2478.7	− 2552	−73.3	× 46 / 254	−13.3
7	73,502	2465.2	− 2567	−101.8	× 41 / 254	−16.4
8	73,505	2500.2	− 2586	−85.8	× 44 / 254	−14.9
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	68,172	2419.4	− 2436	−16.6	× 38 / 234	−2.7
4	68,174	2434.6	− 2485	−50.4	× 32 / 234	−6.9
5	68,176	2427.3	− 2528	−100.7	× 44 / 234	−18.9
6	68,179	2455.6	− 2552	−96.4	× 41 / 234	−16.9
7	68,181	2484.8	− 2567	−82.2	× 41 / 234	−14.4
8	68,183	2470.9	− 2586	−115.1	× 38 / 234	−18.7
Sum, rounded to a whole point						−79

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	69,989	2431.9	− 2436	−4.1	× 42 / 217	−0.8
4	69,991	2432.2	− 2485	−52.8	× 31 / 217	−7.5
5	69,994	2427.7	− 2528	−100.3	× 32 / 217	−14.8
6	69,995	2465.8	− 2552	−86.2	× 37 / 217	−14.7
7	69,997	2469.3	− 2567	−97.7	× 36 / 217	−16.2
8	69,999	2487.3	− 2586	−98.7	× 39 / 217	−17.7
Sum, rounded to a whole point						−72

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,148	2467.5	− 2436	31.5	× 27 / 200	4.3
4	70,151	2453.1	− 2485	−31.9	× 37 / 200	−5.9
5	70,152	2441.1	− 2528	−86.9	× 33 / 200	−14.3
6	70,155	2502.0	− 2552	−50	× 35 / 200	−8.8
7	70,156	2478.7	− 2567	−88.3	× 31 / 200	−13.7
8	70,159	2448.4	− 2586	−137.6	× 37 / 200	−25.5
Sum, rounded to a whole point						−64

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,667	2410.6	− 2436	−25.4	× 55 / 227	−6.2
4	70,668	2462.5	− 2485	−22.5	× 27 / 227	−2.7
5	70,669	2484.7	− 2528	−43.3	× 38 / 227	−7.2
6	70,670	2480.6	− 2552	−71.4	× 39 / 227	−12.3
7	70,671	2495.9	− 2567	−71.1	× 37 / 227	−11.6
8	70,672	2477.1	− 2586	−108.9	× 31 / 227	−14.9
Sum, rounded to a whole point						−55

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,759	2399.1	− 2436	−36.9	× 43 / 229	−6.9
4	70,760	2453.2	− 2485	−31.8	× 31 / 229	−4.3
5	70,761	2424.7	− 2528	−103.3	× 43 / 229	−19.4
6	70,762	2477.2	− 2552	−74.8	× 45 / 229	−14.7
7	70,763	2481.4	− 2567	−85.6	× 33 / 229	−12.3
8	70,764	2521.9	− 2586	−64.1	× 34 / 229	−9.5
Sum, rounded to a whole point						−67

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,757	2406.9	− 2436	−29.1	× 44 / 246	−5.2
4	70,758	2455.5	− 2485	−29.5	× 46 / 246	−5.5
5	70,759	2473.9	− 2528	−54.1	× 36 / 246	−7.9
6	70,760	2437.3	− 2552	−114.7	× 43 / 246	−20
7	70,761	2480.6	− 2567	−86.4	× 45 / 246	−15.8
8	70,762	2467.1	− 2586	−118.9	× 32 / 246	−15.5
Sum, rounded to a whole point						−70

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,739	2422.8	− 2436	−13.2	× 58 / 260	−2.9
4	70,740	2474.1	− 2485	−10.9	× 43 / 260	−1.8
5	70,741	2444.9	− 2528	−83.1	× 44 / 260	−14.1
6	70,742	2387.3	− 2552	−164.7	× 33 / 260	−20.9
7	70,743	2431.4	− 2567	−135.6	× 39 / 260	−20.3
8	70,744	2463.7	− 2586	−122.3	× 43 / 260	−20.2
Sum, rounded to a whole point						−80

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	70,453	2416.8	− 2436	−19.2	× 39 / 241	−3.1
4	70,454	2450.3	− 2485	−34.7	× 59 / 241	−8.5
5	70,455	2465.0	− 2528	−63	× 40 / 241	−10.5
6	70,456	2450.7	− 2552	−101.3	× 42 / 241	−17.7
7	70,457	2404.0	− 2567	−163	× 24 / 241	−16.2
8	70,458	2453.8	− 2586	−132.2	× 37 / 241	−20.3
Sum, rounded to a whole point						−76

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −80, −79, −72, −64, −55, −67, −70, −80, −76 → −71.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 7 · 2017→2018: 8 · 2018→2019: 9 · 2019→2022: 12 · 2022→2023: 3 · 2023→2024: 10 · 2024→2025: 4 → average 6.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.8 × 2.66 = 18.1. Upper limit −53.3, lower limit −89.5.

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.