Midway Elementary: 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.

Measured against the grade 8 bar

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 8.

8th The average 8th grader meets the grade 8 bar. 2592 vs. 2586.

2026 results. "Meets standard" is the state's mark for being on track for that grade.

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	17,549	2388.3	− 2436	−47.7	× 17 / 64	−12.7
4	17,551	2486.3	− 2485	1.3	× 20 / 64	0.4
5	17,553	2491.4	− 2528	−36.6	× 11 / 64	−6.3
7	17,557	2483.2	− 2567	−83.8	× 16 / 64	−21
Sum, rounded to a whole point						−40

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	16,565	2447.2	− 2436	11.2	× 12 / 50	2.7
4	16,567	2476.8	− 2485	−8.2	× 12 / 50	−2
5	16,568	2528.7	− 2528	0.7	× 15 / 50	0.2
8	16,574	2536.8	− 2586	−49.2	× 11 / 50	−10.8
Sum, rounded to a whole point						−10

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	16,891	2416.7	− 2436	−19.3	× 11 / 47	−4.5
4	16,893	2506.5	− 2485	21.5	× 11 / 47	5
5	16,895	2460.8	− 2528	−67.2	× 12 / 47	−17.2
6	16,898	2551.6	− 2552	−0.4	× 13 / 47	−0.1
Sum, rounded to a whole point						−17

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	16,910	2451.5	− 2436	15.5	× 13 / 48	4.2
4	16,913	2513.7	− 2485	28.7	× 11 / 48	6.6
5	16,914	2539.0	− 2528	11	× 12 / 48	2.8
7	16,918	2589.7	− 2567	22.7	× 12 / 48	5.7
Sum, rounded to a whole point						19

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	17,065	2516.4	− 2528	−11.6	× 13 / 38	−4
6	17,066	2563.6	− 2552	11.6	× 11 / 38	3.4
8	17,068	2543.7	− 2586	−42.3	× 14 / 38	−15.6
Sum, rounded to a whole point						−16

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	16,660	2531.5	− 2586	−54.5	× 11 / 11	−54.5
Sum, rounded to a whole point						−55

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	17,108	2470.6	− 2485	−14.4	× 11 / 22	−7.2
8	17,112	2572.5	− 2586	−13.5	× 11 / 22	−6.8
Sum, rounded to a whole point						−14

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	17,046	2586.5	− 2586	0.5	× 11 / 11	0.5
Sum, rounded to a whole point						1

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
8	16,997	2592.1	− 2586	6.1	× 11 / 11	6.1
Sum, rounded to a whole point						6

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −40, −10, −17, 19, −16, −55, −14, 1, 6 → −14
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 30 · 2016→2017: 7 · 2017→2018: 36 · 2018→2019: 35 · 2019→2021: 39 · 2021→2022: 41 · 2022→2023: 15 · 2023→2026: 5 → average 26
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 26 × 2.66 = 69.2. Upper limit 55.2, lower limit −83.2.

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.