Pierce Joint 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	5,646	2434.3	− 2436	−1.7	× 132 / 800	−0.3
4	5,648	2445.7	− 2485	−39.3	× 114 / 800	−5.6
5	5,649	2490.8	− 2528	−37.2	× 115 / 800	−5.3
6	5,652	2515.3	− 2552	−36.7	× 105 / 800	−4.8
7	5,654	2518.6	− 2567	−48.4	× 114 / 800	−6.9
8	5,656	2531.5	− 2586	−54.5	× 109 / 800	−7.4
11	5,657	2535.6	− 2628	−92.4	× 111 / 800	−12.8
Sum, rounded to a whole point						−43

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,112	2427.4	− 2436	−8.6	× 106 / 806	−1.1
4	5,114	2470.3	− 2485	−14.7	× 131 / 806	−2.4
5	5,117	2473.0	− 2528	−55	× 114 / 806	−7.8
6	5,118	2482.7	− 2552	−69.3	× 113 / 806	−9.7
7	5,121	2532.7	− 2567	−34.3	× 108 / 806	−4.6
8	5,123	2523.6	− 2586	−62.4	× 124 / 806	−9.6
11	5,125	2514.6	− 2628	−113.4	× 110 / 806	−15.5
Sum, rounded to a whole point						−51

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,218	2418.3	− 2436	−17.7	× 114 / 811	−2.5
4	5,221	2443.3	− 2485	−41.7	× 117 / 811	−6
5	5,223	2483.6	− 2528	−44.4	× 138 / 811	−7.6
6	5,225	2465.5	− 2552	−86.5	× 113 / 811	−12.1
7	5,226	2519.8	− 2567	−47.2	× 107 / 811	−6.2
8	5,229	2523.6	− 2586	−62.4	× 113 / 811	−8.7
11	5,230	2543.5	− 2628	−84.5	× 109 / 811	−11.4
Sum, rounded to a whole point						−54

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,223	2451.4	− 2436	15.4	× 90 / 792	1.8
4	5,224	2454.5	− 2485	−30.5	× 122 / 792	−4.7
5	5,227	2482.6	− 2528	−45.4	× 117 / 792	−6.7
6	5,228	2478.2	− 2552	−73.8	× 135 / 792	−12.6
7	5,231	2495.7	− 2567	−71.3	× 112 / 792	−10.1
8	5,232	2523.4	− 2586	−62.6	× 110 / 792	−8.7
11	5,235	2524.9	− 2628	−103.1	× 106 / 792	−13.8
Sum, rounded to a whole point						−55

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,266	2441.2	− 2436	5.2	× 104 / 788	0.7
4	5,267	2492.5	− 2485	7.5	× 90 / 788	0.9
5	5,268	2474.8	− 2528	−53.2	× 121 / 788	−8.2
6	5,269	2468.1	− 2552	−83.9	× 117 / 788	−12.5
7	5,270	2510.5	− 2567	−56.5	× 140 / 788	−10
8	5,271	2507.8	− 2586	−78.2	× 115 / 788	−11.4
11	5,272	2525.7	− 2628	−102.3	× 101 / 788	−13.1
Sum, rounded to a whole point						−54

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,105	2423.8	− 2436	−12.2	× 98 / 757	−1.6
4	5,106	2439.6	− 2485	−45.4	× 116 / 757	−7
5	5,107	2453.4	− 2528	−74.6	× 112 / 757	−11
6	5,108	2495.7	− 2552	−56.3	× 101 / 757	−7.5
7	5,109	2522.5	− 2567	−44.5	× 93 / 757	−5.5
8	5,110	2471.1	− 2586	−114.9	× 124 / 757	−18.8
11	5,111	2493.7	− 2628	−134.3	× 113 / 757	−20
Sum, rounded to a whole point						−71

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,107	2409.8	− 2436	−26.2	× 111 / 772	−3.8
4	5,108	2477.1	− 2485	−7.9	× 94 / 772	−1
5	5,109	2451.3	− 2528	−76.7	× 118 / 772	−11.7
6	5,110	2502.4	− 2552	−49.6	× 106 / 772	−6.8
7	5,111	2521.9	− 2567	−45.1	× 102 / 772	−6
8	5,112	2505.8	− 2586	−80.2	× 101 / 772	−10.5
11	5,113	2504.2	− 2628	−123.8	× 140 / 772	−22.5
Sum, rounded to a whole point						−62

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,042	2407.4	− 2436	−28.6	× 85 / 758	−3.2
4	5,043	2434.7	− 2485	−50.3	× 111 / 758	−7.4
5	5,044	2471.8	− 2528	−56.2	× 98 / 758	−7.3
6	5,045	2491.3	− 2552	−60.7	× 119 / 758	−9.5
7	5,046	2522.6	− 2567	−44.4	× 110 / 758	−6.4
8	5,047	2524.6	− 2586	−61.4	× 107 / 758	−8.7
11	5,048	2507.8	− 2628	−120.2	× 128 / 758	−20.3
Sum, rounded to a whole point						−63

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	5,006	2412.7	− 2436	−23.3	× 113 / 759	−3.5
4	5,007	2448.1	− 2485	−36.9	× 90 / 759	−4.4
5	5,008	2454.7	− 2528	−73.3	× 110 / 759	−10.6
6	5,009	2508.8	− 2552	−43.2	× 96 / 759	−5.5
7	5,010	2511.7	− 2567	−55.3	× 119 / 759	−8.7
8	5,011	2539.0	− 2586	−47	× 108 / 759	−6.7
11	5,012	2531.7	− 2628	−96.3	× 123 / 759	−15.6
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	4,992	2417.9	− 2436	−18.1	× 90 / 723	−2.3
4	4,993	2450.1	− 2485	−34.9	× 108 / 723	−5.2
5	4,994	2464.8	− 2528	−63.2	× 95 / 723	−8.3
6	4,995	2474.8	− 2552	−77.2	× 110 / 723	−11.7
7	4,996	2525.9	− 2567	−41.1	× 96 / 723	−5.5
8	4,997	2505.1	− 2586	−80.9	× 123 / 723	−13.8
11	4,998	2537.9	− 2628	−90.1	× 101 / 723	−12.6
Sum, rounded to a whole point						−59

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −43, −51, −54, −55, −54, −71, −62, −63, −55, −59 → −56.7
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: 3 · 2017→2018: 1 · 2018→2019: 1 · 2019→2022: 17 · 2022→2023: 9 · 2023→2024: 1 · 2024→2025: 8 · 2025→2026: 4 → average 5.8
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 5.8 × 2.66 = 15.4. Upper limit −41.3, lower limit −72.1.

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.

Pierce Joint Unified