Placer Hills Union 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	54,123	2424.0	− 2436	−12	× 74 / 504	−1.8
4	54,124	2492.8	− 2485	7.8	× 92 / 504	1.4
5	54,127	2520.1	− 2528	−7.9	× 83 / 504	−1.3
6	54,128	2552.2	− 2552	0.2	× 81 / 504	0
7	54,131	2578.4	− 2567	11.4	× 90 / 504	2
8	54,132	2595.7	− 2586	9.7	× 84 / 504	1.6
Sum, rounded to a whole point						2

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	50,293	2426.8	− 2436	−9.2	× 96 / 503	−1.8
4	50,296	2475.5	− 2485	−9.5	× 67 / 503	−1.3
5	50,297	2519.6	− 2528	−8.4	× 87 / 503	−1.5
6	50,300	2563.5	− 2552	11.5	× 88 / 503	2
7	50,301	2576.5	− 2567	9.5	× 81 / 503	1.5
8	50,303	2589.8	− 2586	3.8	× 84 / 503	0.6
Sum, rounded to a whole point						0

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,722	2447.4	− 2436	11.4	× 69 / 472	1.7
4	51,724	2477.0	− 2485	−8	× 86 / 472	−1.5
5	51,726	2507.9	− 2528	−20.1	× 65 / 472	−2.8
6	51,727	2545.6	− 2552	−6.4	× 81 / 472	−1.1
7	51,729	2601.0	− 2567	34	× 83 / 472	6
8	51,732	2570.6	− 2586	−15.4	× 88 / 472	−2.9
Sum, rounded to a whole point						−1

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,753	2443.1	− 2436	7.1	× 79 / 471	1.2
4	51,756	2493.3	− 2485	8.3	× 68 / 471	1.2
5	51,757	2504.4	− 2528	−23.6	× 83 / 471	−4.2
6	51,760	2531.9	− 2552	−20.1	× 69 / 471	−2.9
7	51,761	2599.6	− 2567	32.6	× 85 / 471	5.9
8	51,764	2627.7	− 2586	41.7	× 87 / 471	7.7
Sum, rounded to a whole point						9

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,945	2451.7	− 2436	15.7	× 66 / 474	2.2
4	51,946	2472.1	− 2485	−12.9	× 81 / 474	−2.2
5	51,947	2528.1	− 2528	0.1	× 68 / 474	0
6	51,948	2520.6	− 2552	−31.4	× 91 / 474	−6
7	51,949	2584.2	− 2567	17.2	× 76 / 474	2.8
8	51,950	2607.1	− 2586	21.1	× 92 / 474	4.1
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	51,877	2415.3	− 2436	−20.7	× 72 / 469	−3.2
4	51,878	2478.3	− 2485	−6.7	× 68 / 469	−1
5	51,879	2485.1	− 2528	−42.9	× 75 / 469	−6.9
6	51,880	2524.9	− 2552	−27.1	× 74 / 469	−4.3
7	51,881	2514.9	− 2567	−52.1	× 100 / 469	−11.1
8	51,882	2573.4	− 2586	−12.6	× 80 / 469	−2.1
Sum, rounded to a whole point						−29

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,834	2455.9	− 2436	19.9	× 76 / 463	3.3
4	51,835	2475.9	− 2485	−9.1	× 73 / 463	−1.4
5	51,836	2471.5	− 2528	−56.5	× 68 / 463	−8.3
6	51,837	2479.1	− 2552	−72.9	× 75 / 463	−11.8
7	51,838	2533.6	− 2567	−33.4	× 77 / 463	−5.6
8	51,839	2553.8	− 2586	−32.2	× 94 / 463	−6.5
Sum, rounded to a whole point						−30

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,656	2452.8	− 2436	16.8	× 89 / 457	3.3
4	51,657	2492.5	− 2485	7.5	× 77 / 457	1.3
5	51,658	2518.6	− 2528	−9.4	× 74 / 457	−1.5
6	51,659	2478.3	− 2552	−73.7	× 71 / 457	−11.5
7	51,660	2516.7	− 2567	−50.3	× 77 / 457	−8.5
8	51,661	2602.4	− 2586	16.4	× 69 / 457	2.5
Sum, rounded to a whole point						−14

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,434	2456.8	− 2436	20.8	× 89 / 463	4
4	51,435	2502.0	− 2485	17	× 82 / 463	3
5	51,436	2502.8	− 2528	−25.2	× 80 / 463	−4.4
6	51,437	2499.4	− 2552	−52.6	× 72 / 463	−8.2
7	51,438	2531.9	− 2567	−35.1	× 70 / 463	−5.3
8	51,439	2596.7	− 2586	10.7	× 70 / 463	1.6
Sum, rounded to a whole point						−9

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 2, 0, −1, 9, 1, −29, −30, −14, −9 → −7.9
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 2 · 2016→2017: 1 · 2017→2018: 10 · 2018→2019: 8 · 2019→2022: 30 · 2022→2023: 1 · 2023→2024: 16 · 2024→2025: 5 → average 9.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.1 × 2.66 = 24.2. Upper limit 16.3, lower limit −32.1.

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.