Konocti Education Center: 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 bars

The state's math test uses one scale for every grade, so a score means the same thing in grade 3 as in grade 11.

5th The average 5th grader scores 59 points under the grade 3 bar. 2377 vs. 2436. The 5th-grade bar is 2528.
6th The average 6th grader scores 56 points under the grade 3 bar. 2380 vs. 2436. The 6th-grade bar is 2552.
7th The average 7th grader scores 41 points under the grade 3 bar. 2395 vs. 2436. The 7th-grade bar is 2567.
8th The average 8th grader scores 32 points under the grade 3 bar. 2404 vs. 2436. The 8th-grade bar is 2586.
11th The average 11th grader scores 10 points under the grade 4 bar. 2475 vs. 2485. The 11th-grade bar is 2628.

2023 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.

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	18,378	2404.5	− 2485	−80.5	× 48 / 232	−16.7
5	18,380	2470.4	− 2528	−57.6	× 29 / 232	−7.2
6	18,381	2455.0	− 2552	−97	× 56 / 232	−23.4
7	18,383	2447.1	− 2567	−119.9	× 42 / 232	−21.7
8	18,386	2427.0	− 2586	−159	× 33 / 232	−22.6
11	18,388	2515.0	− 2628	−113	× 24 / 232	−11.7
Sum, rounded to a whole point						−103

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	18,706	2413.5	− 2485	−71.5	× 35 / 285	−8.8
5	18,707	2428.9	− 2528	−99.1	× 61 / 285	−21.2
6	18,710	2429.1	− 2552	−122.9	× 53 / 285	−22.9
7	18,712	2452.3	− 2567	−114.7	× 65 / 285	−26.2
8	18,713	2446.6	− 2586	−139.4	× 50 / 285	−24.5
11	18,715	2534.0	− 2628	−94	× 21 / 285	−6.9
Sum, rounded to a whole point						−110

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	18,728	2430.4	− 2485	−54.6	× 29 / 267	−5.9
5	18,731	2444.0	− 2528	−84	× 41 / 267	−12.9
6	18,732	2457.3	− 2552	−94.7	× 63 / 267	−22.3
7	18,735	2430.5	− 2567	−136.5	× 52 / 267	−26.6
8	18,736	2442.7	− 2586	−143.3	× 57 / 267	−30.6
11	18,739	2518.5	− 2628	−109.5	× 25 / 267	−10.3
Sum, rounded to a whole point						−109

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	18,872	2434.3	− 2485	−50.7	× 44 / 270	−8.3
5	18,873	2488.0	− 2528	−40	× 37 / 270	−5.5
6	18,874	2479.1	− 2552	−72.9	× 50 / 270	−13.5
7	18,875	2453.1	− 2567	−113.9	× 62 / 270	−26.2
8	18,876	2439.1	− 2586	−146.9	× 53 / 270	−28.8
11	18,877	2514.5	− 2628	−113.5	× 24 / 270	−10.1
Sum, rounded to a whole point						−92

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	18,400	2445.3	− 2528	−82.7	× 31 / 179	−14.3
6	18,401	2454.4	− 2552	−97.6	× 42 / 179	−22.9
7	18,402	2440.7	− 2567	−126.3	× 39 / 179	−27.5
8	18,403	2435.0	− 2586	−151	× 47 / 179	−39.6
11	18,404	2510.2	− 2628	−117.8	× 20 / 179	−13.2
Sum, rounded to a whole point						−118

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	18,915	2356.4	− 2485	−128.6	× 18 / 237	−9.8
5	18,916	2381.8	− 2528	−146.2	× 38 / 237	−23.4
6	18,917	2425.4	− 2552	−126.6	× 50 / 237	−26.7
7	18,918	2434.1	− 2567	−132.9	× 56 / 237	−31.4
8	18,919	2415.1	− 2586	−170.9	× 51 / 237	−36.8
11	18,920	2508.6	− 2628	−119.4	× 24 / 237	−12.1
Sum, rounded to a whole point						−140

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	18,869	2377.4	− 2528	−150.6	× 26 / 210	−18.6
6	18,870	2380.4	− 2552	−171.6	× 49 / 210	−40
7	18,871	2394.8	− 2567	−172.2	× 60 / 210	−49.2
8	18,872	2403.9	− 2586	−182.1	× 45 / 210	−39
11	18,873	2475.4	− 2628	−152.6	× 30 / 210	−21.8
Sum, rounded to a whole point						−169

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −103, −110, −109, −92, −118, −140, −169 → −120.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2016→2017: 7 · 2017→2018: 1 · 2018→2019: 17 · 2019→2021: 26 · 2021→2022: 22 · 2022→2023: 29 → average 17
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 17 × 2.66 = 45.2. Upper limit −74.9, lower limit −165.3.

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