Friendly Hills 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	66,364	2435.5	− 2436	−0.5	× 55 / 200	−0.1
4	66,367	2466.0	− 2485	−19	× 57 / 200	−5.4
5	66,368	2493.6	− 2528	−34.4	× 50 / 200	−8.6
6	66,371	2561.7	− 2552	9.7	× 38 / 200	1.8
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	61,540	2423.8	− 2436	−12.2	× 50 / 202	−3
4	61,541	2456.6	− 2485	−28.4	× 49 / 202	−6.9
5	61,544	2469.0	− 2528	−59	× 58 / 202	−16.9
6	61,545	2512.2	− 2552	−39.8	× 45 / 202	−8.9
Sum, rounded to a whole point						−36

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,320	2428.3	− 2436	−7.7	× 70 / 232	−2.3
4	63,322	2434.2	− 2485	−50.8	× 47 / 232	−10.3
5	63,324	2470.3	− 2528	−57.7	× 56 / 232	−13.9
6	63,326	2504.8	− 2552	−47.2	× 59 / 232	−12
Sum, rounded to a whole point						−39

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,421	2422.7	− 2436	−13.3	× 59 / 233	−3.4
4	63,422	2442.0	− 2485	−43	× 69 / 233	−12.7
5	63,425	2447.0	− 2528	−81	× 52 / 233	−18.1
6	63,426	2489.4	− 2552	−62.6	× 53 / 233	−14.2
Sum, rounded to a whole point						−48

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,677	2425.5	− 2436	−10.5	× 46 / 209	−2.3
4	63,678	2456.2	− 2485	−28.8	× 52 / 209	−7.2
5	63,679	2443.0	− 2528	−85	× 65 / 209	−26.4
6	63,680	2530.2	− 2552	−21.8	× 46 / 209	−4.8
Sum, rounded to a whole point						−41

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,764	2403.7	− 2436	−32.3	× 41 / 157	−8.4
4	63,765	2442.7	− 2485	−42.3	× 36 / 157	−9.7
5	63,766	2512.2	− 2528	−15.8	× 39 / 157	−3.9
6	63,767	2496.1	− 2552	−55.9	× 41 / 157	−14.6
Sum, rounded to a whole point						−37

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,707	2415.3	− 2436	−20.7	× 35 / 151	−4.8
4	63,708	2516.8	− 2485	31.8	× 38 / 151	8
5	63,709	2475.4	− 2528	−52.6	× 38 / 151	−13.2
6	63,710	2512.4	− 2552	−39.6	× 40 / 151	−10.5
Sum, rounded to a whole point						−21

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,683	2435.2	− 2436	−0.8	× 38 / 142	−0.2
4	63,684	2473.5	− 2485	−11.5	× 29 / 142	−2.3
5	63,685	2519.0	− 2528	−9	× 39 / 142	−2.5
6	63,686	2517.2	− 2552	−34.8	× 36 / 142	−8.8
Sum, rounded to a whole point						−14

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	63,445	2455.2	− 2436	19.2	× 37 / 146	4.9
4	63,446	2495.8	− 2485	10.8	× 41 / 146	3
5	63,447	2489.6	− 2528	−38.4	× 28 / 146	−7.4
6	63,448	2549.9	− 2552	−2.1	× 40 / 146	−0.6
Sum, rounded to a whole point						0

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −12, −36, −39, −48, −41, −37, −21, −14, 0 → −27.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 24 · 2016→2017: 3 · 2017→2018: 9 · 2018→2019: 7 · 2019→2022: 4 · 2022→2023: 16 · 2023→2024: 7 · 2024→2025: 14 → average 10.5
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.5 × 2.66 = 27.9. Upper limit 0.3, lower limit −55.5.

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.