Knights Ferry 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
5	96,920	2543.8	− 2528	15.8	× 11 / 35	5
6	96,923	2540.9	− 2552	−11.1	× 12 / 35	−3.8
8	96,927	2599.3	− 2586	13.3	× 12 / 35	4.6
Sum, rounded to a whole point						6

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
5	89,877	2504.2	− 2528	−23.8	× 11 / 28	−9.4
6	89,879	2572.9	− 2552	20.9	× 17 / 28	12.7
Sum, rounded to a whole point						3

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	92,498	2481.3	− 2485	−3.7	× 12 / 49	−0.9
5	92,500	2503.9	− 2528	−24.1	× 12 / 49	−5.9
7	92,505	2624.6	− 2567	57.6	× 14 / 49	16.5
8	92,507	2576.3	− 2586	−9.7	× 11 / 49	−2.2
Sum, rounded to a whole point						7

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,695	2410.7	− 2436	−25.3	× 11 / 71	−3.9
4	92,697	2491.2	− 2485	6.2	× 11 / 71	1
5	92,700	2496.3	− 2528	−31.7	× 12 / 71	−5.4
6	92,701	2469.1	− 2552	−82.9	× 11 / 71	−12.8
7	92,704	2561.7	− 2567	−5.3	× 14 / 71	−1
8	92,705	2635.5	− 2586	49.5	× 12 / 71	8.4
Sum, rounded to a whole point						−14

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,333	2456.9	− 2436	20.9	× 22 / 89	5.2
4	93,334	2488.8	− 2485	3.8	× 12 / 89	0.5
5	93,335	2491.7	− 2528	−36.3	× 12 / 89	−4.9
6	93,336	2492.9	− 2552	−59.1	× 14 / 89	−9.3
7	93,337	2578.6	− 2567	11.6	× 14 / 89	1.8
8	93,338	2550.7	− 2586	−35.3	× 15 / 89	−5.9
Sum, rounded to a whole point						−13

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,348	2444.9	− 2436	8.9	× 15 / 74	1.8
4	91,349	2467.8	− 2485	−17.2	× 15 / 74	−3.5
5	91,350	2417.1	− 2528	−110.9	× 20 / 74	−30
6	91,351	2503.3	− 2552	−48.7	× 12 / 74	−7.9
8	91,353	2553.6	− 2586	−32.4	× 12 / 74	−5.3
Sum, rounded to a whole point						−45

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,564	2456.3	− 2436	20.3	× 20 / 72	5.6
4	93,565	2484.3	− 2485	−0.7	× 17 / 72	−0.2
5	93,566	2434.4	− 2528	−93.6	× 16 / 72	−20.8
6	93,567	2484.6	− 2552	−67.4	× 19 / 72	−17.8
Sum, rounded to a whole point						−33

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,468	2469.4	− 2436	33.4	× 16 / 71	7.5
4	93,469	2491.5	− 2485	6.5	× 15 / 71	1.4
5	93,470	2473.1	− 2528	−54.9	× 16 / 71	−12.4
6	93,471	2443.8	− 2552	−108.2	× 13 / 71	−19.8
7	93,472	2576.1	− 2567	9.1	× 11 / 71	1.4
Sum, rounded to a whole point						−22

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
4	93,352	2492.3	− 2485	7.3	× 15 / 39	2.8
5	93,353	2521.1	− 2528	−6.9	× 13 / 39	−2.3
6	93,354	2484.1	− 2552	−67.9	× 11 / 39	−19.2
Sum, rounded to a whole point						−19

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	93,081	2525.7	− 2436	89.7	× 12 / 27	39.9
5	93,083	2513.5	− 2528	−14.5	× 15 / 27	−8.1
Sum, rounded to a whole point						32

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	92,683	2491.3	− 2436	55.3	× 15 / 44	18.9
4	92,684	2507.5	− 2485	22.5	× 16 / 44	8.2
6	92,686	2583.6	− 2552	31.6	× 13 / 44	9.3
Sum, rounded to a whole point						36

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 6, 3, 7, −14, −13, −45, −33, −22, −19, 32, 36 → −5.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 3 · 2016→2017: 4 · 2017→2018: 21 · 2018→2019: 1 · 2019→2021: 32 · 2021→2022: 12 · 2022→2023: 11 · 2023→2024: 3 · 2024→2025: 51 · 2025→2026: 4 → average 14.2
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 14.2 × 2.66 = 37.8. Upper limit 32.2, lower limit −43.4.

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.

Schools in Knights Ferry Elementary

K–8 schools

Knights Ferry Elementary