North Shoreview Montessori: math

The shaded band is this school'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	84,005	2428.4	− 2436	−7.6	× 49 / 229	−1.6
4	84,008	2521.5	− 2485	36.5	× 46 / 229	7.3
5	84,009	2529.3	− 2528	1.3	× 48 / 229	0.3
6	84,012	2551.8	− 2552	−0.2	× 34 / 229	0
7	84,013	2586.4	− 2567	19.4	× 24 / 229	2
8	84,016	2603.1	− 2586	17.1	× 28 / 229	2.1
Sum, rounded to a whole point						10

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,866	2457.0	− 2436	21	× 50 / 230	4.6
4	77,868	2489.7	− 2485	4.7	× 44 / 230	0.9
5	77,871	2554.3	− 2528	26.3	× 46 / 230	5.3
6	77,872	2608.5	− 2552	56.5	× 34 / 230	8.4
7	77,874	2611.6	− 2567	44.6	× 33 / 230	6.4
8	77,877	2639.2	− 2586	53.2	× 23 / 230	5.3
Sum, rounded to a whole point						31

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,019	2486.3	− 2436	50.3	× 50 / 247	10.2
4	80,021	2499.5	− 2485	14.5	× 49 / 247	2.9
5	80,023	2522.5	− 2528	−5.5	× 45 / 247	−1
6	80,025	2594.8	− 2552	42.8	× 37 / 247	6.4
7	80,028	2623.0	− 2567	56	× 34 / 247	7.7
8	80,030	2607.5	− 2586	21.5	× 32 / 247	2.8
Sum, rounded to a whole point						29

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,169	2470.3	− 2436	34.3	× 43 / 233	6.3
4	80,170	2497.9	− 2485	12.9	× 47 / 233	2.6
5	80,173	2535.5	− 2528	7.5	× 44 / 233	1.4
6	80,174	2541.8	− 2552	−10.2	× 31 / 233	−1.4
7	80,177	2611.0	− 2567	44	× 35 / 233	6.6
8	80,178	2649.3	− 2586	63.3	× 33 / 233	9
Sum, rounded to a whole point						25

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,665	2481.3	− 2436	45.3	× 36 / 219	7.4
4	80,666	2499.1	− 2485	14.1	× 38 / 219	2.4
5	80,667	2541.8	− 2528	13.8	× 47 / 219	3
6	80,668	2539.5	− 2552	−12.5	× 32 / 219	−1.8
7	80,669	2557.5	− 2567	−9.5	× 31 / 219	−1.3
8	80,670	2617.1	− 2586	31.1	× 35 / 219	5
Sum, rounded to a whole point						15

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,062	2477.0	− 2436	41	× 30 / 170	7.2
4	79,063	2478.9	− 2485	−6.1	× 31 / 170	−1.1
5	79,064	2547.3	− 2528	19.3	× 30 / 170	3.4
6	79,065	2535.2	− 2552	−16.8	× 26 / 170	−2.6
7	79,066	2571.7	− 2567	4.7	× 23 / 170	0.6
8	79,067	2592.0	− 2586	6	× 30 / 170	1.1
Sum, rounded to a whole point						9

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,883	2510.9	− 2436	74.9	× 35 / 156	16.8
4	80,884	2541.2	− 2485	56.2	× 27 / 156	9.7
5	80,885	2569.8	− 2528	41.8	× 29 / 156	7.8
6	80,886	2607.7	− 2552	55.7	× 19 / 156	6.8
7	80,887	2604.0	− 2567	37	× 26 / 156	6.2
8	80,888	2609.1	− 2586	23.1	× 20 / 156	3
Sum, rounded to a whole point						50

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,845	2530.7	− 2436	94.7	× 32 / 174	17.4
4	80,846	2558.4	− 2485	73.4	× 35 / 174	14.8
5	80,847	2582.7	− 2528	54.7	× 30 / 174	9.4
6	80,848	2604.1	− 2552	52.1	× 29 / 174	8.7
7	80,849	2627.7	− 2567	60.7	× 23 / 174	8
8	80,850	2648.8	− 2586	62.8	× 25 / 174	9
Sum, rounded to a whole point						67

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,853	2472.9	− 2436	36.9	× 37 / 180	7.6
4	80,854	2548.9	− 2485	63.9	× 32 / 180	11.4
5	80,855	2578.6	− 2528	50.6	× 31 / 180	8.7
6	80,856	2580.4	− 2552	28.4	× 30 / 180	4.7
7	80,857	2623.7	− 2567	56.7	× 29 / 180	9.1
8	80,858	2659.3	− 2586	73.3	× 21 / 180	8.6
Sum, rounded to a whole point						50

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,515	2474.5	− 2436	38.5	× 39 / 191	7.9
4	80,516	2513.3	− 2485	28.3	× 34 / 191	5
5	80,517	2571.9	− 2528	43.9	× 30 / 191	6.9
6	80,518	2616.3	− 2552	64.3	× 30 / 191	10.1
7	80,519	2628.6	− 2567	61.6	× 30 / 191	9.7
8	80,520	2683.8	− 2586	97.8	× 28 / 191	14.3
Sum, rounded to a whole point						54

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 10, 31, 29, 25, 15, 9, 50, 67, 50, 54 → 34
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 21 · 2016→2017: 2 · 2017→2018: 4 · 2018→2019: 10 · 2019→2021: 6 · 2021→2022: 41 · 2022→2023: 17 · 2023→2024: 17 · 2024→2025: 4 → average 13.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13.6 × 2.66 = 36.2. Upper limit 70.2, lower limit −2.2.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23, 2023–24, 2024–25, 2025–26.