Summit Public School: Denali: english

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	85,857	2543.6	− 2531	12.6	× 99 / 210	5.9
7	85,860	2606.2	− 2552	54.2	× 111 / 210	28.6
Sum, rounded to a whole point						35

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	79,685	2547.4	− 2531	16.4	× 102 / 312	5.4
7	79,686	2578.4	− 2552	26.4	× 102 / 312	8.6
8	79,689	2641.2	− 2567	74.2	× 108 / 312	25.7
Sum, rounded to a whole point						40

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	81,842	2590.0	− 2531	59	× 113 / 309	21.6
7	81,844	2597.2	− 2552	45.2	× 98 / 309	14.3
8	81,846	2621.0	− 2567	54	× 98 / 309	17.1
Sum, rounded to a whole point						53

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,029	2592.7	− 2531	61.7	× 63 / 278	14
7	82,031	2611.1	− 2552	59.1	× 116 / 278	24.7
8	82,033	2614.8	− 2567	47.8	× 99 / 278	17
Sum, rounded to a whole point						56

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,645	2589.2	− 2531	58.2	× 74 / 376	11.5
7	82,646	2618.7	− 2552	66.7	× 97 / 376	17.2
8	82,647	2638.6	− 2567	71.6	× 116 / 376	22.1
11	82,648	2699.8	− 2583	116.8	× 89 / 376	27.6
Sum, rounded to a whole point						78

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
6	82,844	2577.7	− 2531	46.7	× 98 / 370	12.4
7	82,845	2576.4	− 2552	24.4	× 83 / 370	5.5
8	82,846	2592.7	− 2567	25.7	× 97 / 370	6.7
11	82,847	2684.7	− 2583	101.7	× 92 / 370	25.3
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
6	82,818	2564.7	− 2531	33.7	× 79 / 255	10.4
7	82,819	2610.6	− 2552	58.6	× 92 / 255	21.1
8	82,820	2601.8	− 2567	34.8	× 84 / 255	11.5
Sum, rounded to a whole point						43

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 35, 40, 53, 56, 78, 50, 43 → 50.7
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: 13 · 2017→2018: 3 · 2018→2019: 22 · 2019→2022: 28 · 2022→2023: 7 → average 13
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 13 × 2.66 = 34.6. Upper limit 85.3, lower limit 16.1.

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. From 2014–15, 2015–16, 2016–17, 2017–18, 2018–19, 2020–21, 2021–22, 2022–23.