Plumas Lake Elementary: 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	106,157	2453.0	− 2436	17	× 139 / 745	3.2
4	106,160	2478.2	− 2485	−6.8	× 130 / 745	−1.2
5	106,161	2487.9	− 2528	−40.1	× 118 / 745	−6.4
6	106,164	2482.8	− 2552	−69.2	× 128 / 745	−11.9
7	106,165	2527.0	− 2567	−40	× 129 / 745	−6.9
8	106,168	2545.1	− 2586	−40.9	× 101 / 745	−5.5
Sum, rounded to a whole point						−29

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	98,620	2464.1	− 2436	28.1	× 133 / 813	4.6
4	98,622	2487.8	− 2485	2.8	× 153 / 813	0.5
5	98,623	2505.2	− 2528	−22.8	× 134 / 813	−3.8
6	98,625	2516.1	− 2552	−35.9	× 122 / 813	−5.4
7	98,627	2497.8	− 2567	−69.2	× 142 / 813	−12.1
8	98,629	2552.1	− 2586	−33.9	× 129 / 813	−5.4
Sum, rounded to a whole point						−21

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,483	2450.4	− 2436	14.4	× 137 / 808	2.4
4	101,485	2481.1	− 2485	−3.9	× 133 / 808	−0.6
5	101,487	2511.0	− 2528	−17	× 143 / 808	−3
6	101,488	2511.0	− 2552	−41	× 139 / 808	−7.1
7	101,491	2524.0	− 2567	−43	× 124 / 808	−6.6
8	101,492	2525.0	− 2586	−61	× 132 / 808	−10
Sum, rounded to a whole point						−25

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,637	2462.8	− 2436	26.8	× 119 / 793	4
4	101,640	2495.9	− 2485	10.9	× 137 / 793	1.9
5	101,641	2532.1	− 2528	4.1	× 128 / 793	0.7
6	101,644	2514.7	− 2552	−37.3	× 139 / 793	−6.5
7	101,646	2531.2	− 2567	−35.8	× 155 / 793	−7
8	101,647	2546.4	− 2586	−39.6	× 115 / 793	−5.7
Sum, rounded to a whole point						−13

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,291	2472.5	− 2436	36.5	× 141 / 814	6.3
4	102,292	2482.6	− 2485	−2.4	× 128 / 814	−0.4
5	102,293	2540.7	− 2528	12.7	× 143 / 814	2.2
6	102,294	2552.9	− 2552	0.9	× 130 / 814	0.1
7	102,295	2556.7	− 2567	−10.3	× 132 / 814	−1.7
8	102,296	2542.0	− 2586	−44	× 140 / 814	−7.6
Sum, rounded to a whole point						−1

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,572	2447.4	− 2436	11.4	× 163 / 942	2
4	102,573	2476.0	− 2485	−9	× 177 / 942	−1.7
5	102,574	2503.0	− 2528	−25	× 160 / 942	−4.2
6	102,575	2481.0	− 2552	−71	× 163 / 942	−12.3
7	102,576	2504.3	− 2567	−62.7	× 144 / 942	−9.6
8	102,577	2531.5	− 2586	−54.5	× 135 / 942	−7.8
Sum, rounded to a whole point						−34

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,386	2438.1	− 2436	2.1	× 177 / 993	0.4
4	102,387	2469.1	− 2485	−15.9	× 173 / 993	−2.8
5	102,388	2489.0	− 2528	−39	× 188 / 993	−7.4
6	102,389	2518.0	− 2552	−34	× 157 / 993	−5.4
7	102,390	2529.1	− 2567	−37.9	× 158 / 993	−6
8	102,391	2529.2	− 2586	−56.8	× 140 / 993	−8
Sum, rounded to a whole point						−29

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	102,283	2446.4	− 2436	10.4	× 182 / 1039	1.8
4	102,284	2447.5	− 2485	−37.5	× 178 / 1039	−6.4
5	102,285	2481.6	− 2528	−46.4	× 188 / 1039	−8.4
6	102,286	2504.3	− 2552	−47.7	× 174 / 1039	−8
7	102,287	2530.6	− 2567	−36.4	× 160 / 1039	−5.6
8	102,288	2543.9	− 2586	−42.1	× 157 / 1039	−6.4
Sum, rounded to a whole point						−33

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,937	2441.0	− 2436	5	× 154 / 1029	0.7
4	101,938	2473.3	− 2485	−11.7	× 179 / 1029	−2
5	101,939	2483.3	− 2528	−44.7	× 193 / 1029	−8.4
6	101,940	2503.3	− 2552	−48.7	× 174 / 1029	−8.2
7	101,941	2508.2	− 2567	−58.8	× 163 / 1029	−9.3
8	101,942	2518.9	− 2586	−67.1	× 166 / 1029	−10.8
Sum, rounded to a whole point						−38

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	101,598	2428.6	− 2436	−7.4	× 220 / 1139	−1.4
4	101,599	2460.5	− 2485	−24.5	× 177 / 1139	−3.8
5	101,600	2487.6	− 2528	−40.4	× 189 / 1139	−6.7
6	101,601	2495.3	− 2552	−56.7	× 199 / 1139	−9.9
7	101,602	2517.8	− 2567	−49.2	× 185 / 1139	−8
8	101,603	2503.2	− 2586	−82.8	× 169 / 1139	−12.3
Sum, rounded to a whole point						−42

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −29, −21, −25, −13, −1, −34, −29, −33, −38, −42 → −26.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 4 · 2017→2018: 12 · 2018→2019: 12 · 2019→2022: 33 · 2022→2023: 5 · 2023→2024: 4 · 2024→2025: 5 · 2025→2026: 4 → average 9.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.7 × 2.66 = 25.8. Upper limit −0.7, lower limit −52.3.

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.

Schools in Plumas Lake Elementary

Elementary schools

Middle schools

Riverside Meadows Intermediate