Kings River-Hardwick Union 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
3	18,918	2459.1	− 2436	23.1	× 79 / 494	3.7
4	18,921	2477.3	− 2485	−7.7	× 85 / 494	−1.3
5	18,922	2542.8	− 2528	14.8	× 84 / 494	2.5
6	18,925	2539.0	− 2552	−13	× 87 / 494	−2.3
7	18,926	2540.9	− 2567	−26.1	× 83 / 494	−4.4
8	18,929	2577.3	− 2586	−8.7	× 76 / 494	−1.3
Sum, rounded to a whole point						−3

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,921	2479.8	− 2436	43.8	× 79 / 493	7
4	17,923	2513.5	− 2485	28.5	× 88 / 493	5.1
5	17,926	2556.2	− 2528	28.2	× 79 / 493	4.5
6	17,927	2554.3	− 2552	2.3	× 85 / 493	0.4
7	17,929	2568.9	− 2567	1.9	× 83 / 493	0.3
8	17,932	2590.1	− 2586	4.1	× 79 / 493	0.7
Sum, rounded to a whole point						18

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,259	2478.3	− 2436	42.3	× 86 / 494	7.4
4	18,262	2500.1	− 2485	15.1	× 82 / 494	2.5
5	18,264	2552.5	− 2528	24.5	× 83 / 494	4.1
6	18,266	2533.3	− 2552	−18.7	× 80 / 494	−3
7	18,267	2589.8	− 2567	22.8	× 77 / 494	3.6
8	18,270	2584.0	− 2586	−2	× 86 / 494	−0.3
Sum, rounded to a whole point						14

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,278	2460.3	− 2436	24.3	× 82 / 517	3.9
4	18,281	2481.1	− 2485	−3.9	× 92 / 517	−0.7
5	18,282	2547.0	− 2528	19	× 87 / 517	3.2
6	18,285	2564.0	− 2552	12	× 86 / 517	2
7	18,286	2565.3	− 2567	−1.7	× 91 / 517	−0.3
8	18,289	2612.4	− 2586	26.4	× 79 / 517	4
Sum, rounded to a whole point						12

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,430	2493.9	− 2436	57.9	× 95 / 528	10.4
4	18,431	2494.9	− 2485	9.9	× 86 / 528	1.6
5	18,432	2548.4	− 2528	20.4	× 86 / 528	3.3
6	18,433	2554.6	− 2552	2.6	× 92 / 528	0.5
7	18,434	2572.7	− 2567	5.7	× 81 / 528	0.9
8	18,435	2595.2	− 2586	9.2	× 88 / 528	1.5
Sum, rounded to a whole point						18

2021 from sb_ca2021_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	17,977	2432.3	− 2436	−3.7	× 86 / 521	−0.6
4	17,978	2479.2	− 2485	−5.8	× 98 / 521	−1.1
5	17,979	2545.6	− 2528	17.6	× 92 / 521	3.1
6	17,980	2529.5	− 2552	−22.5	× 80 / 521	−3.5
7	17,981	2564.1	− 2567	−2.9	× 79 / 521	−0.4
8	17,982	2573.4	− 2586	−12.6	× 86 / 521	−2.1
Sum, rounded to a whole point						−5

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,465	2460.1	− 2436	24.1	× 88 / 524	4
4	18,466	2490.3	− 2485	5.3	× 85 / 524	0.9
5	18,467	2533.5	− 2528	5.5	× 94 / 524	1
6	18,468	2565.6	− 2552	13.6	× 94 / 524	2.4
7	18,469	2534.9	− 2567	−32.1	× 83 / 524	−5.1
8	18,470	2589.8	− 2586	3.8	× 80 / 524	0.6
Sum, rounded to a whole point						4

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,408	2466.5	− 2436	30.5	× 88 / 532	5
4	18,409	2498.7	− 2485	13.7	× 87 / 532	2.2
5	18,410	2544.8	− 2528	16.8	× 91 / 532	2.9
6	18,411	2564.3	− 2552	12.3	× 89 / 532	2.1
7	18,412	2580.9	− 2567	13.9	× 97 / 532	2.5
8	18,413	2566.5	− 2586	−19.5	× 80 / 532	−2.9
Sum, rounded to a whole point						12

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,367	2460.9	− 2436	24.9	× 76 / 527	3.6
4	18,368	2506.4	− 2485	21.4	× 85 / 527	3.5
5	18,369	2550.9	− 2528	22.9	× 85 / 527	3.7
6	18,370	2534.5	− 2552	−17.5	× 90 / 527	−3
7	18,371	2603.1	− 2567	36.1	× 91 / 527	6.2
8	18,372	2617.8	− 2586	31.8	× 100 / 527	6
Sum, rounded to a whole point						20

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	18,361	2481.2	− 2436	45.2	× 89 / 525	7.7
4	18,362	2518.1	− 2485	33.1	× 78 / 525	4.9
5	18,363	2561.4	− 2528	33.4	× 89 / 525	5.7
6	18,364	2559.6	− 2552	7.6	× 93 / 525	1.3
7	18,365	2593.3	− 2567	26.3	× 91 / 525	4.6
8	18,366	2635.5	− 2586	49.5	× 85 / 525	8
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	18,400	2477.5	− 2436	41.5	× 88 / 513	7.1
4	18,401	2522.1	− 2485	37.1	× 85 / 513	6.1
5	18,402	2572.5	− 2528	44.5	× 76 / 513	6.6
6	18,403	2562.7	− 2552	10.7	× 87 / 513	1.8
7	18,404	2584.0	− 2567	17	× 90 / 513	3
8	18,405	2592.1	− 2586	6.1	× 87 / 513	1
Sum, rounded to a whole point						26

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −3, 18, 14, 12, 18, −5, 4, 12, 20, 32, 26 → 13.5
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 21 · 2016→2017: 4 · 2017→2018: 2 · 2018→2019: 6 · 2019→2021: 23 · 2021→2022: 9 · 2022→2023: 8 · 2023→2024: 8 · 2024→2025: 12 · 2025→2026: 6 → average 9.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 9.9 × 2.66 = 26.3. Upper limit 39.8, lower limit −12.8.

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.

Charter schools in Kings River-Hardwick Union Elementary

K–8 schools

Kings River-Hardwick Elementary