Hillsborough City Elementary: english

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
3	82,737	2503.3	− 2432	71.3	× 168 / 1050	11.4
4	82,738	2556.6	− 2473	83.6	× 167 / 1050	13.3
5	82,741	2595.6	− 2502	93.6	× 187 / 1050	16.7
6	82,742	2607.9	− 2531	76.9	× 182 / 1050	13.3
7	82,745	2623.3	− 2552	71.3	× 174 / 1050	11.8
8	82,747	2628.3	− 2567	61.3	× 172 / 1050	10
Sum, rounded to a whole point						77

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	76,717	2507.9	− 2432	75.9	× 149 / 1005	11.3
4	76,718	2558.1	− 2473	85.1	× 164 / 1005	13.9
5	76,720	2607.5	− 2502	105.5	× 166 / 1005	17.4
6	76,722	2605.2	− 2531	74.2	× 176 / 1005	13
7	76,724	2640.4	− 2552	88.4	× 180 / 1005	15.8
8	76,726	2648.4	− 2567	81.4	× 170 / 1005	13.8
Sum, rounded to a whole point						85

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,791	2503.6	− 2432	71.6	× 172 / 1012	12.2
4	78,793	2548.9	− 2473	75.9	× 152 / 1012	11.4
5	78,796	2592.3	− 2502	90.3	× 165 / 1012	14.7
6	78,797	2595.0	− 2531	64	× 167 / 1012	10.6
7	78,800	2626.9	− 2552	74.9	× 173 / 1012	12.8
8	78,802	2646.3	− 2567	79.3	× 183 / 1012	14.3
Sum, rounded to a whole point						76

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	78,938	2512.6	− 2432	80.6	× 148 / 962	12.4
4	78,941	2558.9	− 2473	85.9	× 170 / 962	15.2
5	78,942	2587.0	− 2502	85	× 155 / 962	13.7
6	78,945	2601.4	− 2531	70.4	× 146 / 962	10.7
7	78,946	2617.5	− 2552	65.5	× 168 / 962	11.4
8	78,949	2638.6	− 2567	71.6	× 175 / 962	13
Sum, rounded to a whole point						76

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,468	2510.3	− 2432	78.3	× 168 / 946	13.9
4	79,469	2559.7	− 2473	86.7	× 151 / 946	13.8
5	79,470	2601.2	− 2502	99.2	× 170 / 946	17.8
6	79,471	2595.0	− 2531	64	× 144 / 946	9.7
7	79,472	2639.3	− 2552	87.3	× 147 / 946	13.6
8	79,473	2639.9	− 2567	72.9	× 166 / 946	12.8
Sum, rounded to a whole point						82

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	77,953	2505.9	− 2432	73.9	× 145 / 863	12.4
4	77,954	2552.9	− 2473	79.9	× 141 / 863	13.1
5	77,955	2575.1	− 2502	73.1	× 164 / 863	13.9
6	77,956	2616.4	− 2531	85.4	× 142 / 863	14.1
7	77,957	2630.8	− 2552	78.8	× 135 / 863	12.3
8	77,958	2625.8	− 2567	58.8	× 136 / 863	9.3
Sum, rounded to a whole point						75

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,710	2508.7	− 2432	76.7	× 150 / 875	13.1
4	79,711	2562.9	− 2473	89.9	× 152 / 875	15.6
5	79,712	2596.4	− 2502	94.4	× 151 / 875	16.3
6	79,713	2586.9	− 2531	55.9	× 150 / 875	9.6
7	79,714	2647.3	− 2552	95.3	× 143 / 875	15.6
8	79,715	2624.5	− 2567	57.5	× 129 / 875	8.5
Sum, rounded to a whole point						79

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,686	2511.4	− 2432	79.4	× 136 / 876	12.3
4	79,687	2555.0	− 2473	82	× 160 / 876	15
5	79,688	2598.2	− 2502	96.2	× 163 / 876	17.9
6	79,689	2595.1	− 2531	64.1	× 137 / 876	10
7	79,690	2628.6	− 2552	76.6	× 149 / 876	13
8	79,691	2657.2	− 2567	90.2	× 131 / 876	13.5
Sum, rounded to a whole point						82

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,710	2527.3	− 2432	95.3	× 130 / 853	14.5
4	79,711	2574.3	− 2473	101.3	× 138 / 853	16.4
5	79,712	2604.7	− 2502	102.7	× 159 / 853	19.1
6	79,713	2604.3	− 2531	73.3	× 148 / 853	12.7
7	79,714	2626.8	− 2552	74.8	× 141 / 853	12.4
8	79,715	2637.7	− 2567	70.7	× 137 / 853	11.4
Sum, rounded to a whole point						86

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	79,376	2524.9	− 2432	92.9	× 128 / 828	14.4
4	79,377	2577.0	− 2473	104	× 126 / 828	15.8
5	79,378	2607.0	− 2502	105	× 141 / 828	17.9
6	79,379	2607.3	− 2531	76.3	× 146 / 828	13.5
7	79,380	2628.0	− 2552	76	× 150 / 828	13.8
8	79,381	2634.7	− 2567	67.7	× 137 / 828	11.2
Sum, rounded to a whole point						86

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 77, 85, 76, 76, 82, 75, 79, 82, 86, 86 → 80.4
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 8 · 2016→2017: 9 · 2017→2018: 0 · 2018→2019: 6 · 2019→2021: 7 · 2021→2022: 4 · 2022→2023: 3 · 2023→2024: 4 · 2024→2025: 0 → average 4.6
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 4.6 × 2.66 = 12.2. Upper limit 92.6, lower limit 68.2.

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 — 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.