Emery Unified: math

The shaded band is this district'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	843	2420.1	− 2436	−15.9	× 56 / 355	−2.5
4	844	2432.8	− 2485	−52.2	× 61 / 355	−9
5	847	2437.4	− 2528	−90.6	× 53 / 355	−13.5
6	848	2425.8	− 2552	−126.2	× 37 / 355	−13.2
7	851	2479.2	− 2567	−87.8	× 50 / 355	−12.4
8	852	2475.5	− 2586	−110.5	× 47 / 355	−14.6
11	855	2508.9	− 2628	−119.1	× 51 / 355	−17.1
Sum, rounded to a whole point						−82

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	691	2422.4	− 2436	−13.6	× 58 / 348	−2.3
4	693	2470.4	− 2485	−14.6	× 57 / 348	−2.4
5	695	2445.5	− 2528	−82.5	× 62 / 348	−14.7
6	697	2434.5	− 2552	−117.5	× 53 / 348	−17.9
7	699	2465.0	− 2567	−102	× 33 / 348	−9.7
8	701	2494.0	− 2586	−92	× 49 / 348	−13
11	703	2516.3	− 2628	−111.7	× 36 / 348	−11.6
Sum, rounded to a whole point						−71

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	733	2402.2	− 2436	−33.8	× 62 / 351	−6
4	735	2439.2	− 2485	−45.8	× 50 / 351	−6.5
5	737	2501.6	− 2528	−26.4	× 50 / 351	−3.8
6	738	2432.2	− 2552	−119.8	× 57 / 351	−19.5
7	741	2437.7	− 2567	−129.3	× 58 / 351	−21.4
8	743	2457.3	− 2586	−128.7	× 33 / 351	−12.1
11	745	2499.1	− 2628	−128.9	× 41 / 351	−15.1
Sum, rounded to a whole point						−84

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	753	2353.5	− 2436	−82.5	× 39 / 340	−9.5
4	755	2460.3	− 2485	−24.7	× 60 / 340	−4.4
5	757	2430.6	− 2528	−97.4	× 49 / 340	−14
6	759	2475.3	− 2552	−76.7	× 51 / 340	−11.5
7	761	2475.9	− 2567	−91.1	× 49 / 340	−13.1
8	763	2477.4	− 2586	−108.6	× 54 / 340	−17.2
11	765	2549.4	− 2628	−78.6	× 38 / 340	−8.8
Sum, rounded to a whole point						−79

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	786	2390.1	− 2436	−45.9	× 64 / 377	−7.8
4	787	2433.4	− 2485	−51.6	× 40 / 377	−5.5
5	788	2462.3	− 2528	−65.7	× 57 / 377	−9.9
6	789	2452.7	− 2552	−99.3	× 52 / 377	−13.7
7	790	2531.5	− 2567	−35.5	× 53 / 377	−5
8	791	2519.0	− 2586	−67	× 56 / 377	−10
11	792	2557.1	− 2628	−70.9	× 55 / 377	−10.3
Sum, rounded to a whole point						−62

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	750	2492.0	− 2628	−136	× 41 / 41	−136
Sum, rounded to a whole point						−136

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	784	2369.9	− 2436	−66.1	× 54 / 334	−10.7
4	785	2423.2	− 2485	−61.8	× 44 / 334	−8.1
5	786	2441.8	− 2528	−86.2	× 45 / 334	−11.6
6	787	2434.2	− 2552	−117.8	× 58 / 334	−20.5
7	788	2455.8	− 2567	−111.2	× 31 / 334	−10.3
8	789	2476.0	− 2586	−110	× 56 / 334	−18.4
11	790	2484.4	− 2628	−143.6	× 46 / 334	−19.8
Sum, rounded to a whole point						−99

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	784	2395.1	− 2436	−40.9	× 46 / 298	−6.3
4	785	2433.7	− 2485	−51.3	× 52 / 298	−9
5	786	2467.1	− 2528	−60.9	× 37 / 298	−7.6
6	787	2443.1	− 2552	−108.9	× 42 / 298	−15.3
7	788	2470.9	− 2567	−96.1	× 49 / 298	−15.8
8	789	2442.6	− 2586	−143.4	× 33 / 298	−15.9
11	790	2514.8	− 2628	−113.2	× 39 / 298	−14.8
Sum, rounded to a whole point						−85

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	784	2382.4	− 2436	−53.6	× 46 / 323	−7.6
4	785	2458.9	− 2485	−26.1	× 41 / 323	−3.3
5	786	2481.4	− 2528	−46.6	× 53 / 323	−7.6
6	787	2429.9	− 2552	−122.1	× 50 / 323	−18.9
7	788	2457.6	− 2567	−109.4	× 39 / 323	−13.2
8	789	2464.2	− 2586	−121.8	× 50 / 323	−18.9
11	790	2504.7	− 2628	−123.3	× 44 / 323	−16.8
Sum, rounded to a whole point						−86

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	774	2397.2	− 2436	−38.8	× 33 / 301	−4.3
4	775	2453.8	− 2485	−31.2	× 53 / 301	−5.5
5	776	2451.4	− 2528	−76.6	× 42 / 301	−10.7
6	777	2427.7	− 2552	−124.3	× 51 / 301	−21.1
7	778	2466.9	− 2567	−100.1	× 47 / 301	−15.6
8	779	2473.9	− 2586	−112.1	× 40 / 301	−14.9
11	780	2529.9	− 2628	−98.1	× 35 / 301	−11.4
Sum, rounded to a whole point						−83

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	776	2403.2	− 2436	−32.8	× 54 / 293	−6
4	777	2476.8	− 2485	−8.2	× 37 / 293	−1
5	778	2429.6	− 2528	−98.4	× 51 / 293	−17.1
6	779	2492.1	− 2552	−59.9	× 45 / 293	−9.2
7	780	2447.9	− 2567	−119.1	× 45 / 293	−18.3
8	781	2498.2	− 2586	−87.8	× 43 / 293	−12.9
11	782	2543.1	− 2628	−84.9	× 18 / 293	−5.2
Sum, rounded to a whole point						−70

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −82, −71, −84, −79, −62, −136, −99, −85, −86, −83, −70 → −85.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 13 · 2017→2018: 5 · 2018→2019: 17 · 2019→2021: 74 · 2021→2022: 37 · 2022→2023: 14 · 2023→2024: 1 · 2024→2025: 3 · 2025→2026: 13 → average 18.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 18.8 × 2.66 = 50. Upper limit −35.2, lower limit −135.2.

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 — for a district, the total across its schools. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.

Emery Unified