Durfee 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 8.

All students

3rd The average 3rd grader meets the grade 3 bar. 2451 vs. 2436.
4th The average 4th grader scores just under the grade 4 bar. 2478 vs. 2485.
5th The average 5th grader scores 19 points under the grade 5 bar. 2509 vs. 2528.
6th The average 6th grader meets the grade 6 bar. 2567 vs. 2552.
7th The average 7th grader scores just under the grade 6 bar. 2550 vs. 2552. The 7th-grade bar is 2567.
8th The average 8th grader scores just under the grade 7 bar. 2562 vs. 2567. The 8th-grade bar is 2586.

Students fluent in English

Math with English out of the way. Includes students who have only ever spoken English.

Grade bars 3rd 75 students Meets the grade 3 bar. 4th 94 students Meets the grade 4 bar. 5th 88 students Just under the grade 5 bar. 6th 100 students Meets the grade 6 bar. 7th 146 students Just under the grade 7 bar. 8th 161 students Just under the grade 8 bar.

English learners

Students leave this group as they become fluent, so its average stays low even where they learn well.

Grade bars 3rd 37 students 13 points under the grade 3 bar. 4th 31 students 47 points under the grade 4 bar. 5th 16 students 45 points under the grade 4 bar. 6th 13 students 38 points under the grade 4 bar. 7th 18 students 29 points under the grade 4 bar. 8th 19 students 50 points under the grade 3 bar.

the group's average that grade's own bar the distance between

2026 results. "Meets standard" is the state's mark for being on track for that grade. The state leaves out any group of ten students or fewer, so a grade may be missing from the charts.

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	23,229	2384.4	− 2436	−51.6	× 101 / 796	−6.5
4	23,231	2413.1	− 2485	−71.9	× 113 / 796	−10.2
5	23,233	2462.8	− 2528	−65.2	× 118 / 796	−9.7
6	23,235	2527.9	− 2552	−24.1	× 96 / 796	−2.9
7	23,237	2523.8	− 2567	−43.2	× 170 / 796	−9.2
8	23,239	2550.8	− 2586	−35.2	× 198 / 796	−8.8
Sum, rounded to a whole point						−47

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	21,819	2439.7	− 2436	3.7	× 116 / 777	0.6
4	21,821	2469.1	− 2485	−15.9	× 106 / 777	−2.2
5	21,824	2470.8	− 2528	−57.2	× 111 / 777	−8.2
6	21,825	2508.7	− 2552	−43.3	× 119 / 777	−6.6
7	21,828	2547.7	− 2567	−19.3	× 159 / 777	−3.9
8	21,830	2582.5	− 2586	−3.5	× 166 / 777	−0.7
Sum, rounded to a whole point						−21

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,237	2446.9	− 2436	10.9	× 81 / 745	1.2
4	22,238	2471.0	− 2485	−14	× 111 / 745	−2.1
5	22,240	2494.2	− 2528	−33.8	× 100 / 745	−4.5
6	22,242	2505.6	− 2552	−46.4	× 118 / 745	−7.3
7	22,244	2544.6	− 2567	−22.4	× 178 / 745	−5.4
8	22,246	2571.0	− 2586	−15	× 157 / 745	−3.2
Sum, rounded to a whole point						−21

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,224	2456.0	− 2436	20	× 75 / 725	2.1
4	22,226	2473.8	− 2485	−11.2	× 87 / 725	−1.3
5	22,228	2500.7	− 2528	−27.3	× 114 / 725	−4.3
6	22,230	2530.4	− 2552	−21.6	× 110 / 725	−3.3
7	22,232	2542.8	− 2567	−24.2	× 159 / 725	−5.3
8	22,234	2574.4	− 2586	−11.6	× 180 / 725	−2.9
Sum, rounded to a whole point						−15

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,404	2463.9	− 2436	27.9	× 71 / 701	2.8
4	22,405	2481.1	− 2485	−3.9	× 81 / 701	−0.5
5	22,406	2508.3	− 2528	−19.7	× 88 / 701	−2.5
6	22,407	2544.0	− 2552	−8	× 120 / 701	−1.4
7	22,408	2562.6	− 2567	−4.4	× 176 / 701	−1.1
8	22,409	2580.4	− 2586	−5.6	× 165 / 701	−1.3
Sum, rounded to a whole point						−4

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,371	2427.6	− 2436	−8.4	× 96 / 688	−1.2
4	22,372	2460.7	− 2485	−24.3	× 131 / 688	−4.6
5	22,373	2495.8	− 2528	−32.2	× 93 / 688	−4.4
6	22,374	2517.5	− 2552	−34.5	× 87 / 688	−4.4
7	22,375	2532.9	− 2567	−34.1	× 120 / 688	−5.9
8	22,376	2567.3	− 2586	−18.7	× 161 / 688	−4.4
Sum, rounded to a whole point						−25

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,346	2447.9	− 2436	11.9	× 105 / 697	1.8
4	22,347	2462.5	− 2485	−22.5	× 109 / 697	−3.5
5	22,348	2482.4	− 2528	−45.6	× 128 / 697	−8.4
6	22,349	2521.8	− 2552	−30.2	× 99 / 697	−4.3
7	22,350	2541.1	− 2567	−25.9	× 133 / 697	−4.9
8	22,351	2562.1	− 2586	−23.9	× 123 / 697	−4.2
Sum, rounded to a whole point						−24

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,196	2430.8	− 2436	−5.2	× 108 / 734	−0.8
4	22,197	2491.4	− 2485	6.4	× 110 / 734	1
5	22,198	2499.4	− 2528	−28.6	× 103 / 734	−4
6	22,199	2511.9	− 2552	−40.1	× 124 / 734	−6.8
7	22,200	2538.8	− 2567	−28.2	× 152 / 734	−5.8
8	22,201	2554.1	− 2586	−31.9	× 137 / 734	−6
Sum, rounded to a whole point						−22

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,107	2438.0	− 2436	2	× 118 / 767	0.3
4	22,108	2462.5	− 2485	−22.5	× 105 / 767	−3.1
5	22,109	2537.4	− 2528	9.4	× 112 / 767	1.4
6	22,110	2532.9	− 2552	−19.1	× 108 / 767	−2.7
7	22,111	2517.6	− 2567	−49.4	× 176 / 767	−11.3
8	22,112	2562.8	− 2586	−23.2	× 148 / 767	−4.5
Sum, rounded to a whole point						−20

2026 from sb_ca2026_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	22,163	2450.6	− 2436	14.6	× 112 / 799	2
4	22,164	2478.2	− 2485	−6.8	× 125 / 799	−1.1
5	22,165	2509.0	− 2528	−19	× 105 / 799	−2.5
6	22,166	2567.2	− 2552	15.2	× 113 / 799	2.1
7	22,167	2550.3	− 2567	−16.7	× 164 / 799	−3.4
8	22,168	2562.2	− 2586	−23.8	× 180 / 799	−5.4
Sum, rounded to a whole point						−8

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −47, −21, −21, −15, −4, −25, −24, −22, −20, −8 → −20.7
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 26 · 2016→2017: 0 · 2017→2018: 6 · 2018→2019: 11 · 2019→2022: 21 · 2022→2023: 1 · 2023→2024: 2 · 2024→2025: 2 · 2025→2026: 12 → average 9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9 × 2.66 = 23.9. Upper limit 3.2, lower limit −44.6.

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.