Pleasant Grove Joint Union: 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	98,755	2454.7	− 2436	18.7	× 22 / 137	3
4	98,756	2482.6	− 2485	−2.4	× 22 / 137	−0.4
5	98,759	2512.5	− 2528	−15.5	× 23 / 137	−2.6
6	98,760	2505.9	− 2552	−46.1	× 24 / 137	−8.1
7	98,762	2605.3	− 2567	38.3	× 23 / 137	6.4
8	98,764	2598.3	− 2586	12.3	× 23 / 137	2.1
Sum, rounded to a whole point						0

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,527	2463.8	− 2436	27.8	× 14 / 132	2.9
4	91,529	2495.6	− 2485	10.6	× 23 / 132	1.8
5	91,530	2516.1	− 2528	−11.9	× 23 / 132	−2.1
6	91,533	2532.8	− 2552	−19.2	× 25 / 132	−3.6
7	91,534	2541.0	− 2567	−26	× 22 / 132	−4.3
8	91,537	2613.7	− 2586	27.7	× 25 / 132	5.2
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	94,284	2440.2	− 2436	4.2	× 22 / 123	0.8
4	94,287	2522.9	− 2485	37.9	× 14 / 123	4.3
5	94,289	2544.9	− 2528	16.9	× 21 / 123	2.9
6	94,290	2534.1	− 2552	−17.9	× 24 / 123	−3.5
7	94,293	2580.1	− 2567	13.1	× 21 / 123	2.2
8	94,294	2556.7	− 2586	−29.3	× 21 / 123	−5
Sum, rounded to a whole point						2

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,495	2448.9	− 2436	12.9	× 18 / 125	1.9
4	94,496	2472.6	− 2485	−12.4	× 24 / 125	−2.4
5	94,499	2549.3	− 2528	21.3	× 16 / 125	2.7
6	94,500	2558.9	− 2552	6.9	× 21 / 125	1.2
7	94,503	2570.1	− 2567	3.1	× 26 / 125	0.6
8	94,504	2590.7	− 2586	4.7	× 20 / 125	0.8
Sum, rounded to a whole point						5

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,138	2424.9	− 2436	−11.1	× 20 / 118	−1.9
4	95,139	2491.7	− 2485	6.7	× 18 / 118	1
5	95,140	2497.4	− 2528	−30.6	× 22 / 118	−5.7
6	95,141	2574.5	− 2552	22.5	× 13 / 118	2.5
7	95,142	2597.4	− 2567	30.4	× 20 / 118	5.2
8	95,143	2581.3	− 2586	−4.7	× 25 / 118	−1
Sum, rounded to a whole point						0

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,087	2377.1	− 2436	−58.9	× 18 / 108	−9.8
4	93,088	2466.3	− 2485	−18.7	× 19 / 108	−3.3
5	93,089	2502.5	− 2528	−25.5	× 19 / 108	−4.5
6	93,090	2492.5	− 2552	−59.5	× 17 / 108	−9.4
7	93,091	2557.9	− 2567	−9.1	× 21 / 108	−1.8
8	93,092	2582.1	− 2586	−3.9	× 14 / 108	−0.5
Sum, rounded to a whole point						−29

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,352	2453.5	− 2436	17.5	× 13 / 118	1.9
4	95,353	2452.7	− 2485	−32.3	× 21 / 118	−5.7
5	95,354	2478.3	− 2528	−49.7	× 23 / 118	−9.7
6	95,355	2489.5	− 2552	−62.5	× 19 / 118	−10.1
7	95,356	2529.5	− 2567	−37.5	× 19 / 118	−6
8	95,357	2590.5	− 2586	4.5	× 23 / 118	0.9
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	95,250	2439.3	− 2436	3.3	× 19 / 106	0.6
4	95,251	2498.6	− 2485	13.6	× 14 / 106	1.8
5	95,252	2499.9	− 2528	−28.1	× 18 / 106	−4.8
6	95,253	2521.8	− 2552	−30.2	× 23 / 106	−6.6
7	95,254	2553.3	− 2567	−13.7	× 14 / 106	−1.8
8	95,255	2525.0	− 2586	−61	× 18 / 106	−10.4
Sum, rounded to a whole point						−21

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,115	2449.1	− 2436	13.1	× 14 / 107	1.7
4	95,116	2485.8	− 2485	0.8	× 17 / 107	0.1
5	95,117	2546.4	− 2528	18.4	× 14 / 107	2.4
6	95,118	2476.9	− 2552	−75.1	× 19 / 107	−13.3
7	95,119	2544.5	− 2567	−22.5	× 24 / 107	−5
8	95,120	2512.0	− 2586	−74	× 19 / 107	−13.1
Sum, rounded to a whole point						−27

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,847	2402.4	− 2436	−33.6	× 12 / 109	−3.7
4	94,848	2493.3	− 2485	8.3	× 17 / 109	1.3
5	94,849	2528.2	− 2528	0.2	× 19 / 109	0
6	94,850	2541.1	− 2552	−10.9	× 15 / 109	−1.5
7	94,851	2514.6	− 2567	−52.4	× 21 / 109	−10.1
8	94,852	2541.1	− 2586	−44.9	× 25 / 109	−10.3
Sum, rounded to a whole point						−24

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,453	2414.2	− 2436	−21.8	× 13 / 100	−2.8
4	94,454	2466.7	− 2485	−18.3	× 12 / 100	−2.2
5	94,455	2526.2	− 2528	−1.8	× 18 / 100	−0.3
6	94,456	2534.3	− 2552	−17.7	× 19 / 100	−3.4
7	94,457	2577.8	− 2567	10.8	× 19 / 100	2.1
8	94,458	2553.6	− 2586	−32.4	× 19 / 100	−6.2
Sum, rounded to a whole point						−13

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 0, 0, 2, 5, 0, −29, −29, −21, −27, −24, −13 → −12.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 2 · 2017→2018: 3 · 2018→2019: 5 · 2019→2021: 29 · 2021→2022: 0 · 2022→2023: 8 · 2023→2024: 6 · 2024→2025: 3 · 2025→2026: 11 → average 6.7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.7 × 2.66 = 17.8. Upper limit 5.4, lower limit −30.2.

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 Pleasant Grove Joint Union

K–8 schools

Pleasant Grove