Riverbend 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.

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	98,885	2415.2	− 2436	−20.8	× 93 / 924	−2.1
4	98,886	2460.9	− 2485	−24.1	× 111 / 924	−2.9
5	98,889	2488.5	− 2528	−39.5	× 90 / 924	−3.8
6	98,890	2501.8	− 2552	−50.2	× 224 / 924	−12.2
7	98,893	2520.5	− 2567	−46.5	× 220 / 924	−11.1
8	98,894	2524.9	− 2586	−61.1	× 186 / 924	−12.3
Sum, rounded to a whole point						−44

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	91,656	2417.4	− 2436	−18.6	× 106 / 950	−2.1
4	91,658	2455.0	− 2485	−30	× 109 / 950	−3.4
5	91,661	2489.1	− 2528	−38.9	× 110 / 950	−4.5
6	91,663	2502.8	− 2552	−49.2	× 219 / 950	−11.3
7	91,665	2520.1	− 2567	−46.9	× 205 / 950	−10.1
8	91,666	2527.7	− 2586	−58.3	× 201 / 950	−12.3
Sum, rounded to a whole point						−44

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,430	2408.0	− 2436	−28	× 68 / 907	−2.1
4	94,432	2454.6	− 2485	−30.4	× 105 / 907	−3.5
5	94,434	2484.8	− 2528	−43.2	× 98 / 907	−4.7
6	94,436	2493.2	− 2552	−58.8	× 235 / 907	−15.2
7	94,439	2511.0	− 2567	−56	× 205 / 907	−12.7
8	94,441	2509.6	− 2586	−76.4	× 196 / 907	−16.5
Sum, rounded to a whole point						−55

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,641	2411.6	− 2436	−24.4	× 82 / 882	−2.3
4	94,642	2441.0	− 2485	−44	× 69 / 882	−3.4
5	94,644	2483.0	− 2528	−45	× 106 / 882	−5.4
6	94,646	2489.6	− 2552	−62.4	× 221 / 882	−15.6
7	94,648	2502.6	− 2567	−64.4	× 232 / 882	−16.9
8	94,650	2495.0	− 2586	−91	× 172 / 882	−17.7
Sum, rounded to a whole point						−61

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,284	2423.8	− 2436	−12.2	× 91 / 942	−1.2
4	95,285	2462.2	− 2485	−22.8	× 90 / 942	−2.2
5	95,286	2469.5	− 2528	−58.5	× 75 / 942	−4.7
6	95,287	2481.1	− 2552	−70.9	× 227 / 942	−17.1
7	95,288	2509.9	− 2567	−57.1	× 228 / 942	−13.8
8	95,289	2510.2	− 2586	−75.8	× 231 / 942	−18.6
Sum, rounded to a whole point						−58

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,498	2421.4	− 2436	−14.6	× 69 / 780	−1.3
4	95,499	2462.0	− 2485	−23	× 85 / 780	−2.5
5	95,500	2461.5	− 2528	−66.5	× 80 / 780	−6.8
6	95,501	2485.6	− 2552	−66.4	× 197 / 780	−16.8
7	95,502	2479.2	− 2567	−87.8	× 171 / 780	−19.2
8	95,503	2484.3	− 2586	−101.7	× 178 / 780	−23.2
Sum, rounded to a whole point						−70

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,382	2431.9	− 2436	−4.1	× 66 / 753	−0.4
4	95,383	2446.9	− 2485	−38.1	× 69 / 753	−3.5
5	95,384	2485.2	− 2528	−42.8	× 84 / 753	−4.8
6	95,385	2470.5	− 2552	−81.5	× 182 / 753	−19.7
7	95,386	2490.6	− 2567	−76.4	× 181 / 753	−18.4
8	95,387	2472.5	− 2586	−113.5	× 171 / 753	−25.8
Sum, rounded to a whole point						−72

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	95,247	2414.4	− 2436	−21.6	× 62 / 739	−1.8
4	95,248	2449.8	− 2485	−35.2	× 66 / 739	−3.1
5	95,249	2455.8	− 2528	−72.2	× 71 / 739	−6.9
6	95,250	2452.9	− 2552	−99.1	× 191 / 739	−25.6
7	95,251	2475.3	− 2567	−91.7	× 167 / 739	−20.7
8	95,252	2481.8	− 2586	−104.2	× 182 / 739	−25.7
Sum, rounded to a whole point						−84

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	94,979	2380.3	− 2436	−55.7	× 76 / 727	−5.8
4	94,980	2455.8	− 2485	−29.2	× 72 / 727	−2.9
5	94,981	2474.9	− 2528	−53.1	× 68 / 727	−5
6	94,982	2431.4	− 2552	−120.6	× 155 / 727	−25.7
7	94,983	2468.1	− 2567	−98.9	× 186 / 727	−25.3
8	94,984	2472.8	− 2586	−113.2	× 170 / 727	−26.5
Sum, rounded to a whole point						−91

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −44, −44, −55, −61, −58, −70, −72, −84, −91 → −64.3
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 0 · 2016→2017: 11 · 2017→2018: 6 · 2018→2019: 3 · 2019→2022: 12 · 2022→2023: 2 · 2023→2024: 12 · 2024→2025: 7 → average 6.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.6 × 2.66 = 17.6. Upper limit −46.7, lower limit −81.9.

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.