Norco 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 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 6.

3rd The average 3rd grader scores just under the grade 3 bar. 2430 vs. 2436.
4th The average 4th grader scores 18 points under the grade 4 bar. 2467 vs. 2485.
5th The average 5th grader scores 40 points under the grade 5 bar. 2488 vs. 2528.
6th The average 6th grader scores just under the grade 6 bar. 2546 vs. 2552.

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	55,901	2420.7	− 2436	−15.3	× 99 / 390	−3.9
4	55,903	2480.2	− 2485	−4.8	× 101 / 390	−1.2
5	55,905	2522.7	− 2528	−5.3	× 100 / 390	−1.4
6	55,907	2502.5	− 2552	−49.5	× 90 / 390	−11.4
Sum, rounded to a whole point						−18

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	51,900	2432.4	− 2436	−3.6	× 87 / 360	−0.9
4	51,902	2474.9	− 2485	−10.1	× 94 / 360	−2.6
5	51,904	2532.8	− 2528	4.8	× 93 / 360	1.2
6	51,905	2544.7	− 2552	−7.3	× 86 / 360	−1.7
Sum, rounded to a whole point						−4

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,423	2423.7	− 2436	−12.3	× 75 / 338	−2.7
4	53,424	2478.3	− 2485	−6.7	× 91 / 338	−1.8
5	53,426	2512.5	− 2528	−15.5	× 89 / 338	−4.1
6	53,428	2570.4	− 2552	18.4	× 83 / 338	4.5
Sum, rounded to a whole point						−4

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,512	2441.7	− 2436	5.7	× 84 / 355	1.3
4	53,513	2478.6	− 2485	−6.4	× 85 / 355	−1.5
5	53,516	2509.9	− 2528	−18.1	× 97 / 355	−4.9
6	53,517	2543.0	− 2552	−9	× 89 / 355	−2.3
Sum, rounded to a whole point						−7

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,747	2433.0	− 2436	−3	× 69 / 338	−0.6
4	53,748	2506.6	− 2485	21.6	× 87 / 338	5.6
5	53,749	2520.0	− 2528	−8	× 90 / 338	−2.1
6	53,750	2546.1	− 2552	−5.9	× 92 / 338	−1.6
Sum, rounded to a whole point						1

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,803	2392.3	− 2436	−43.7	× 91 / 333	−11.9
4	53,804	2454.6	− 2485	−30.4	× 87 / 333	−7.9
5	53,805	2491.6	− 2528	−36.4	× 82 / 333	−9
6	53,806	2491.8	− 2552	−60.2	× 73 / 333	−13.2
Sum, rounded to a whole point						−42

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,754	2435.8	− 2436	−0.2	× 93 / 362	−0.1
4	53,755	2462.3	− 2485	−22.7	× 93 / 362	−5.8
5	53,756	2478.8	− 2528	−49.2	× 87 / 362	−11.8
6	53,757	2494.8	− 2552	−57.2	× 89 / 362	−14.1
Sum, rounded to a whole point						−32

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,612	2409.1	− 2436	−26.9	× 97 / 368	−7.1
4	53,613	2491.1	− 2485	6.1	× 92 / 368	1.5
5	53,614	2476.1	− 2528	−51.9	× 93 / 368	−13.1
6	53,615	2499.9	− 2552	−52.1	× 86 / 368	−12.2
Sum, rounded to a whole point						−31

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,350	2417.7	− 2436	−18.3	× 79 / 362	−4
4	53,351	2473.1	− 2485	−11.9	× 101 / 362	−3.3
5	53,352	2483.3	− 2528	−44.7	× 90 / 362	−11.1
6	53,353	2519.1	− 2552	−32.9	× 92 / 362	−8.4
Sum, rounded to a whole point						−27

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	53,283	2429.7	− 2436	−6.3	× 80 / 354	−1.4
4	53,284	2467.2	− 2485	−17.8	× 80 / 354	−4
5	53,285	2487.9	− 2528	−40.1	× 106 / 354	−12
6	53,286	2546.1	− 2552	−5.9	× 88 / 354	−1.5
Sum, rounded to a whole point						−19

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −18, −4, −4, −7, 1, −42, −32, −31, −27, −19 → −18.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 14 · 2016→2017: 0 · 2017→2018: 3 · 2018→2019: 8 · 2019→2022: 43 · 2022→2023: 10 · 2023→2024: 1 · 2024→2025: 4 · 2025→2026: 8 → average 10.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 10.1 × 2.66 = 26.9. Upper limit 8.6, lower limit −45.2.

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.