Las Lomitas 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	83,128	2508.5	− 2436	72.5	× 174 / 941	13.4
4	83,131	2525.5	− 2485	40.5	× 183 / 941	7.9
5	83,132	2554.5	− 2528	26.5	× 166 / 941	4.7
6	83,135	2598.5	− 2552	46.5	× 144 / 941	7.1
7	83,136	2634.2	− 2567	67.2	× 132 / 941	9.4
8	83,139	2661.8	− 2586	75.8	× 142 / 941	11.4
Sum, rounded to a whole point						54

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,088	2528.2	− 2436	92.2	× 159 / 932	15.7
4	77,090	2543.5	− 2485	58.5	× 179 / 932	11.2
5	77,092	2571.7	− 2528	43.7	× 172 / 932	8.1
6	77,094	2605.5	− 2552	53.5	× 157 / 932	9
7	77,097	2639.8	− 2567	72.8	× 137 / 932	10.7
8	77,099	2677.2	− 2586	91.2	× 128 / 932	12.5
Sum, rounded to a whole point						67

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,180	2519.1	− 2436	83.1	× 149 / 932	13.3
4	79,182	2567.8	− 2485	82.8	× 157 / 932	13.9
5	79,184	2586.5	− 2528	58.5	× 183 / 932	11.5
6	79,186	2616.5	− 2552	64.5	× 153 / 932	10.6
7	79,188	2622.9	− 2567	55.9	× 160 / 932	9.6
8	79,190	2662.2	− 2586	76.2	× 130 / 932	10.6
Sum, rounded to a whole point						70

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,319	2520.5	− 2436	84.5	× 142 / 929	12.9
4	79,320	2558.8	− 2485	73.8	× 156 / 929	12.4
5	79,323	2590.7	− 2528	62.7	× 158 / 929	10.7
6	79,324	2632.6	− 2552	80.6	× 170 / 929	14.7
7	79,327	2643.6	− 2567	76.6	× 150 / 929	12.4
8	79,328	2637.9	− 2586	51.9	× 153 / 929	8.5
Sum, rounded to a whole point						72

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,851	2513.6	− 2436	77.6	× 142 / 865	12.7
4	79,852	2560.2	− 2485	75.2	× 136 / 865	11.8
5	79,853	2582.1	− 2528	54.1	× 145 / 865	9.1
6	79,854	2638.8	− 2552	86.8	× 138 / 865	13.8
7	79,855	2663.4	− 2567	96.4	× 160 / 865	17.8
8	79,856	2642.6	− 2586	56.6	× 144 / 865	9.4
Sum, rounded to a whole point						75

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,300	2506.0	− 2436	70	× 99 / 622	11.1
4	78,301	2584.5	− 2485	99.5	× 117 / 622	18.7
5	78,302	2601.8	− 2528	73.8	× 117 / 622	13.9
6	78,303	2614.6	− 2552	62.6	× 107 / 622	10.8
7	78,304	2672.1	− 2567	105.1	× 89 / 622	15
8	78,305	2700.8	− 2586	114.8	× 93 / 622	17.2
Sum, rounded to a whole point						87

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,103	2521.5	− 2436	85.5	× 120 / 697	14.7
4	80,104	2560.4	− 2485	75.4	× 110 / 697	11.9
5	80,105	2602.8	− 2528	74.8	× 129 / 697	13.8
6	80,106	2630.6	− 2552	78.6	× 113 / 697	12.7
7	80,107	2672.0	− 2567	105	× 111 / 697	16.7
8	80,108	2678.2	− 2586	92.2	× 114 / 697	15.1
Sum, rounded to a whole point						85

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,075	2518.0	− 2436	82	× 124 / 702	14.5
4	80,076	2571.6	− 2485	86.6	× 128 / 702	15.8
5	80,077	2603.3	− 2528	75.3	× 113 / 702	12.1
6	80,078	2630.2	− 2552	78.2	× 121 / 702	13.5
7	80,079	2672.3	− 2567	105.3	× 108 / 702	16.2
8	80,080	2681.6	− 2586	95.6	× 108 / 702	14.7
Sum, rounded to a whole point						87

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	80,099	2505.7	− 2436	69.7	× 139 / 712	13.6
4	80,100	2574.3	− 2485	89.3	× 130 / 712	16.3
5	80,101	2610.9	− 2528	82.9	× 120 / 712	14
6	80,102	2635.9	− 2552	83.9	× 104 / 712	12.3
7	80,103	2664.0	− 2567	97	× 114 / 712	15.5
8	80,104	2690.6	− 2586	104.6	× 105 / 712	15.4
Sum, rounded to a whole point						87

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,763	2529.3	− 2436	93.3	× 127 / 715	16.6
4	79,764	2568.6	− 2485	83.6	× 137 / 715	16
5	79,765	2599.8	− 2528	71.8	× 126 / 715	12.7
6	79,766	2654.9	− 2552	102.9	× 115 / 715	16.6
7	79,767	2663.8	− 2567	96.8	× 100 / 715	13.5
8	79,768	2679.7	− 2586	93.7	× 110 / 715	14.4
Sum, rounded to a whole point						90

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 54, 67, 70, 72, 75, 87, 85, 87, 87, 90 → 77.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 13 · 2016→2017: 3 · 2017→2018: 2 · 2018→2019: 3 · 2019→2021: 12 · 2021→2022: 2 · 2022→2023: 2 · 2023→2024: 0 · 2024→2025: 3 → average 4.4
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.4 × 2.66 = 11.7. Upper limit 89.1, lower limit 65.7.

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.