Placer County Office of Education: 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	53,480	2411.5	− 2436	−24.5	× 13 / 200	−1.6
4	53,481	2462.0	− 2485	−23	× 24 / 200	−2.8
5	53,484	2481.8	− 2528	−46.2	× 16 / 200	−3.7
6	53,485	2474.5	− 2552	−77.5	× 20 / 200	−7.8
7	53,488	2440.2	− 2567	−126.8	× 29 / 200	−18.4
8	53,489	2448.1	− 2586	−137.9	× 68 / 200	−46.9
11	53,492	2423.4	− 2628	−204.6	× 30 / 200	−30.7
Sum, rounded to a whole point						−112

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	49,679	2473.1	− 2436	37.1	× 19 / 155	4.5
4	49,681	2481.7	− 2485	−3.3	× 15 / 155	−0.3
5	49,684	2522.4	− 2528	−5.6	× 23 / 155	−0.8
6	49,685	2560.5	− 2552	8.5	× 23 / 155	1.3
7	49,688	2539.8	− 2567	−27.2	× 24 / 155	−4.2
8	49,690	2511.8	− 2586	−74.2	× 27 / 155	−12.9
11	49,692	2455.6	− 2628	−172.4	× 24 / 155	−26.7
Sum, rounded to a whole point						−39

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,075	2453.5	− 2436	17.5	× 17 / 164	1.8
4	51,077	2510.7	− 2485	25.7	× 20 / 164	3.1
5	51,079	2488.1	− 2528	−39.9	× 19 / 164	−4.6
6	51,082	2526.3	− 2552	−25.7	× 29 / 164	−4.5
7	51,084	2533.7	− 2567	−33.3	× 26 / 164	−5.3
8	51,086	2518.5	− 2586	−67.5	× 28 / 164	−11.5
11	51,088	2455.0	− 2628	−173	× 25 / 164	−26.4
Sum, rounded to a whole point						−47

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,112	2430.1	− 2436	−5.9	× 14 / 174	−0.5
4	51,113	2475.7	− 2485	−9.3	× 19 / 174	−1
5	51,116	2506.0	− 2528	−22	× 25 / 174	−3.2
6	51,117	2534.6	− 2552	−17.4	× 17 / 174	−1.7
7	51,120	2567.0	− 2567	0	× 31 / 174	0
8	51,121	2547.7	− 2586	−38.3	× 33 / 174	−7.3
11	51,124	2407.6	− 2628	−220.4	× 35 / 174	−44.3
Sum, rounded to a whole point						−58

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,318	2407.8	− 2436	−28.2	× 20 / 200	−2.8
4	51,319	2481.5	− 2485	−3.5	× 21 / 200	−0.4
5	51,320	2474.4	− 2528	−53.6	× 27 / 200	−7.2
6	51,321	2571.0	− 2552	19	× 25 / 200	2.4
7	51,322	2523.1	− 2567	−43.9	× 30 / 200	−6.6
8	51,323	2563.0	− 2586	−23	× 35 / 200	−4
11	51,324	2439.3	− 2628	−188.7	× 42 / 200	−39.6
Sum, rounded to a whole point						−58

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,075	2429.0	− 2436	−7	× 20 / 162	−0.9
4	50,076	2478.6	− 2485	−6.4	× 28 / 162	−1.1
5	50,077	2472.7	− 2528	−55.3	× 21 / 162	−7.2
6	50,078	2516.2	− 2552	−35.8	× 19 / 162	−4.2
7	50,079	2487.9	− 2567	−79.1	× 19 / 162	−9.3
8	50,080	2503.1	− 2586	−82.9	× 33 / 162	−16.9
11	50,081	2455.7	− 2628	−172.3	× 22 / 162	−23.4
Sum, rounded to a whole point						−63

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,246	2442.8	− 2436	6.8	× 17 / 162	0.7
4	51,247	2485.0	− 2485	0	× 27 / 162	0
5	51,248	2471.5	− 2528	−56.5	× 27 / 162	−9.4
6	51,249	2541.9	− 2552	−10.1	× 25 / 162	−1.6
7	51,250	2536.4	− 2567	−30.6	× 22 / 162	−4.2
8	51,251	2473.9	− 2586	−112.1	× 29 / 162	−20.1
11	51,252	2439.1	− 2628	−188.9	× 15 / 162	−17.5
Sum, rounded to a whole point						−52

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,214	2476.9	− 2436	40.9	× 21 / 167	5.1
4	51,215	2477.1	− 2485	−7.9	× 19 / 167	−0.9
5	51,216	2473.0	− 2528	−55	× 28 / 167	−9.2
6	51,217	2539.1	− 2552	−12.9	× 23 / 167	−1.8
7	51,218	2554.6	− 2567	−12.4	× 32 / 167	−2.4
8	51,219	2495.9	− 2586	−90.1	× 30 / 167	−16.2
11	51,220	2403.7	− 2628	−224.3	× 14 / 167	−18.8
Sum, rounded to a whole point						−44

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,071	2444.9	− 2436	8.9	× 24 / 162	1.3
4	51,072	2506.4	− 2485	21.4	× 24 / 162	3.2
5	51,073	2485.2	− 2528	−42.8	× 25 / 162	−6.6
6	51,074	2544.2	− 2552	−7.8	× 27 / 162	−1.3
7	51,075	2563.6	− 2567	−3.4	× 28 / 162	−0.6
8	51,076	2591.8	− 2586	5.8	× 34 / 162	1.2
Sum, rounded to a whole point						−3

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,833	2454.2	− 2436	18.2	× 26 / 174	2.7
4	50,834	2496.0	− 2485	11	× 24 / 174	1.5
5	50,835	2508.0	− 2528	−20	× 26 / 174	−3
6	50,836	2541.7	− 2552	−10.3	× 26 / 174	−1.5
7	50,837	2548.1	− 2567	−18.9	× 26 / 174	−2.8
8	50,838	2527.1	− 2586	−58.9	× 35 / 174	−11.8
11	50,839	2407.0	− 2628	−221	× 11 / 174	−14
Sum, rounded to a whole point						−29

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,708	2460.2	− 2436	24.2	× 21 / 171	3
4	50,709	2480.7	− 2485	−4.3	× 29 / 171	−0.7
5	50,710	2500.3	− 2528	−27.7	× 26 / 171	−4.2
6	50,711	2561.7	− 2552	9.7	× 26 / 171	1.5
7	50,712	2574.7	− 2567	7.7	× 27 / 171	1.2
8	50,713	2568.5	− 2586	−17.5	× 27 / 171	−2.8
11	50,714	2491.9	− 2628	−136.1	× 15 / 171	−11.9
Sum, rounded to a whole point						−14

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −112, −39, −47, −58, −58, −63, −52, −44, −3, −29, −14 → −47.2
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 73 · 2016→2017: 8 · 2017→2018: 11 · 2018→2019: 0 · 2019→2021: 5 · 2021→2022: 11 · 2022→2023: 8 · 2023→2024: 41 · 2024→2025: 26 · 2025→2026: 15 → average 19.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 19.8 × 2.66 = 52.7. Upper limit 5.5, lower limit −99.9.

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.

Placer County Office of Education