Linden 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	79,077	2411.8	− 2436	−24.2	× 160 / 1213	−3.2
4	79,078	2445.5	− 2485	−39.5	× 170 / 1213	−5.5
5	79,081	2457.9	− 2528	−70.1	× 171 / 1213	−9.9
6	79,082	2482.2	− 2552	−69.8	× 168 / 1213	−9.7
7	79,085	2501.4	− 2567	−65.6	× 158 / 1213	−8.5
8	79,086	2509.1	− 2586	−76.9	× 185 / 1213	−11.7
11	79,089	2496.9	− 2628	−131.1	× 201 / 1213	−21.7
Sum, rounded to a whole point						−70

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,267	2425.5	− 2436	−10.5	× 186 / 1167	−1.7
4	73,269	2464.4	− 2485	−20.6	× 159 / 1167	−2.8
5	73,271	2499.8	− 2528	−28.2	× 178 / 1167	−4.3
6	73,272	2489.3	− 2552	−62.7	× 179 / 1167	−9.6
7	73,274	2510.7	− 2567	−56.3	× 162 / 1167	−7.8
8	73,276	2507.9	− 2586	−78.1	× 163 / 1167	−10.9
11	73,278	2551.9	− 2628	−76.1	× 140 / 1167	−9.1
Sum, rounded to a whole point						−46

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,229	2427.8	− 2436	−8.2	× 155 / 1208	−1.1
4	75,232	2463.4	− 2485	−21.6	× 197 / 1208	−3.5
5	75,234	2484.5	− 2528	−43.5	× 168 / 1208	−6
6	75,235	2502.4	− 2552	−49.6	× 186 / 1208	−7.6
7	75,237	2497.1	− 2567	−69.9	× 187 / 1208	−10.8
8	75,240	2525.3	− 2586	−60.7	× 162 / 1208	−8.1
11	75,241	2536.7	− 2628	−91.3	× 153 / 1208	−11.6
Sum, rounded to a whole point						−49

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,420	2432.2	− 2436	−3.8	× 141 / 1249	−0.4
4	75,423	2481.2	− 2485	−3.8	× 155 / 1249	−0.5
5	75,424	2493.6	− 2528	−34.4	× 202 / 1249	−5.6
6	75,427	2496.3	− 2552	−55.7	× 177 / 1249	−7.9
7	75,428	2509.8	− 2567	−57.2	× 199 / 1249	−9.1
8	75,431	2502.1	− 2586	−83.9	× 187 / 1249	−12.6
11	75,432	2509.8	− 2628	−118.2	× 188 / 1249	−17.8
Sum, rounded to a whole point						−54

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,954	2436.4	− 2436	0.4	× 158 / 1248	0.1
4	75,955	2480.1	− 2485	−4.9	× 157 / 1248	−0.6
5	75,956	2503.0	− 2528	−25	× 167 / 1248	−3.3
6	75,957	2494.5	− 2552	−57.5	× 219 / 1248	−10.1
7	75,958	2489.2	− 2567	−77.8	× 178 / 1248	−11.1
8	75,959	2509.0	− 2586	−77	× 205 / 1248	−12.6
11	75,960	2519.1	− 2628	−108.9	× 164 / 1248	−14.3
Sum, rounded to a whole point						−52

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
11	74,519	2416.5	− 2628	−211.5	× 19 / 19	−211.5
Sum, rounded to a whole point						−212

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,100	2400.8	− 2436	−35.2	× 163 / 1206	−4.8
4	76,101	2454.0	− 2485	−31	× 147 / 1206	−3.8
5	76,102	2477.3	− 2528	−50.7	× 193 / 1206	−8.1
6	76,103	2481.8	− 2552	−70.2	× 159 / 1206	−9.3
7	76,104	2490.1	− 2567	−76.9	× 171 / 1206	−10.9
8	76,105	2500.3	− 2586	−85.7	× 169 / 1206	−12
11	76,106	2509.6	− 2628	−118.4	× 204 / 1206	−20
Sum, rounded to a whole point						−69

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,082	2403.2	− 2436	−32.8	× 166 / 1193	−4.6
4	76,083	2444.8	− 2485	−40.2	× 176 / 1193	−5.9
5	76,084	2478.0	− 2528	−50	× 138 / 1193	−5.8
6	76,085	2497.2	− 2552	−54.8	× 203 / 1193	−9.3
7	76,086	2495.3	− 2567	−71.7	× 159 / 1193	−9.6
8	76,087	2505.2	− 2586	−80.8	× 167 / 1193	−11.3
11	76,088	2494.7	− 2628	−133.3	× 184 / 1193	−20.6
Sum, rounded to a whole point						−67

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,077	2421.1	− 2436	−14.9	× 166 / 1278	−1.9
4	76,078	2443.8	− 2485	−41.2	× 180 / 1278	−5.8
5	76,079	2461.2	− 2528	−66.8	× 182 / 1278	−9.5
6	76,080	2493.2	− 2552	−58.8	× 145 / 1278	−6.7
7	76,081	2510.7	− 2567	−56.3	× 211 / 1278	−9.3
8	76,082	2492.9	− 2586	−93.1	× 168 / 1278	−12.2
11	76,083	2503.0	− 2628	−125	× 226 / 1278	−22.1
Sum, rounded to a whole point						−68

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,750	2423.3	− 2436	−12.7	× 150 / 1230	−1.5
4	75,751	2458.7	− 2485	−26.3	× 175 / 1230	−3.7
5	75,752	2457.0	− 2528	−71	× 179 / 1230	−10.3
6	75,753	2491.7	− 2552	−60.3	× 184 / 1230	−9
7	75,754	2509.7	− 2567	−57.3	× 155 / 1230	−7.2
8	75,755	2538.4	− 2586	−47.6	× 210 / 1230	−8.1
11	75,756	2524.9	− 2628	−103.1	× 177 / 1230	−14.8
Sum, rounded to a whole point						−55

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	75,660	2406.8	− 2436	−29.2	× 154 / 1187	−3.8
4	75,661	2450.7	− 2485	−34.3	× 157 / 1187	−4.5
5	75,662	2472.6	− 2528	−55.4	× 176 / 1187	−8.2
6	75,663	2485.8	− 2552	−66.2	× 184 / 1187	−10.3
7	75,664	2502.8	− 2567	−64.2	× 182 / 1187	−9.8
8	75,665	2518.1	− 2586	−67.9	× 152 / 1187	−8.7
11	75,666	2517.1	− 2628	−110.9	× 182 / 1187	−17
Sum, rounded to a whole point						−62

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −70, −46, −49, −54, −52, −212, −69, −67, −68, −55, −62 → −73.1
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: 5 · 2018→2019: 2 · 2019→2021: 160 · 2021→2022: 143 · 2022→2023: 2 · 2023→2024: 1 · 2024→2025: 13 · 2025→2026: 7 → average 36
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 36 × 2.66 = 95.8. Upper limit 22.7, lower limit −168.9.

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 — 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.

Linden Unified