Summit Public School: Denali: 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
6	85,858	2549.3	− 2552	−2.7	× 99 / 210	−1.3
7	85,859	2608.7	− 2567	41.7	× 111 / 210	22
Sum, rounded to a whole point						21

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	79,684	2574.4	− 2552	22.4	× 102 / 314	7.3
7	79,687	2576.6	− 2567	9.6	× 103 / 314	3.1
8	79,688	2631.7	− 2586	45.7	× 109 / 314	15.9
Sum, rounded to a whole point						26

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	81,841	2589.0	− 2552	37	× 111 / 305	13.5
7	81,843	2602.6	− 2567	35.6	× 99 / 305	11.6
8	81,845	2617.4	− 2586	31.4	× 95 / 305	9.8
Sum, rounded to a whole point						35

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,028	2599.6	− 2552	47.6	× 64 / 280	10.9
7	82,030	2599.9	− 2567	32.9	× 117 / 280	13.7
8	82,032	2624.8	− 2586	38.8	× 99 / 280	13.7
Sum, rounded to a whole point						38

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,650	2595.7	− 2552	43.7	× 74 / 377	8.6
7	82,651	2616.5	− 2567	49.5	× 97 / 377	12.7
8	82,652	2630.5	− 2586	44.5	× 116 / 377	13.7
11	82,653	2684.5	− 2628	56.5	× 90 / 377	13.5
Sum, rounded to a whole point						48

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,849	2578.3	− 2552	26.3	× 98 / 372	6.9
7	82,850	2570.9	− 2567	3.9	× 83 / 372	0.9
8	82,851	2597.4	− 2586	11.4	× 97 / 372	3
11	82,852	2622.4	− 2628	−5.6	× 94 / 372	−1.4
Sum, rounded to a whole point						9

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,823	2550.0	− 2552	−2	× 79 / 255	−0.6
7	82,824	2590.7	− 2567	23.7	× 92 / 255	8.6
8	82,825	2610.3	− 2586	24.3	× 84 / 255	8
Sum, rounded to a whole point						16

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 21, 26, 35, 38, 48, 9, 16 → 27.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 5 · 2016→2017: 9 · 2017→2018: 3 · 2018→2019: 10 · 2019→2022: 39 · 2022→2023: 7 → average 12.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 12.2 × 2.66 = 32.5. Upper limit 60.1, lower limit −4.9.

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.