Pacific Grove Unified: 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	45,986	2451.6	− 2436	15.6	× 149 / 1065	2.2
4	45,988	2499.4	− 2485	14.4	× 144 / 1065	1.9
5	45,990	2528.2	− 2528	0.2	× 162 / 1065	0
6	45,992	2544.4	− 2552	−7.6	× 151 / 1065	−1.1
7	45,993	2576.3	− 2567	9.3	× 158 / 1065	1.4
8	45,996	2593.5	− 2586	7.5	× 154 / 1065	1.1
11	45,998	2622.5	− 2628	−5.5	× 147 / 1065	−0.8
Sum, rounded to a whole point						5

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	42,692	2466.4	− 2436	30.4	× 149 / 1081	4.2
4	42,694	2497.8	− 2485	12.8	× 148 / 1081	1.8
5	42,696	2521.3	− 2528	−6.7	× 143 / 1081	−0.9
6	42,697	2560.0	− 2552	8	× 183 / 1081	1.4
7	42,699	2562.6	− 2567	−4.4	× 159 / 1081	−0.6
8	42,702	2597.8	− 2586	11.8	× 155 / 1081	1.7
11	42,703	2657.2	− 2628	29.2	× 144 / 1081	3.9
Sum, rounded to a whole point						11

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,761	2445.9	− 2436	9.9	× 146 / 1067	1.4
4	43,762	2528.0	− 2485	43	× 151 / 1067	6.1
5	43,764	2536.0	− 2528	8	× 149 / 1067	1.1
6	43,766	2565.7	− 2552	13.7	× 150 / 1067	1.9
7	43,769	2604.8	− 2567	37.8	× 180 / 1067	6.4
8	43,770	2612.2	− 2586	26.2	× 157 / 1067	3.9
11	43,773	2624.8	− 2628	−3.2	× 134 / 1067	−0.4
Sum, rounded to a whole point						20

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,784	2471.7	− 2436	35.7	× 147 / 1079	4.9
4	43,785	2506.8	− 2485	21.8	× 141 / 1079	2.8
5	43,788	2562.3	− 2528	34.3	× 160 / 1079	5.1
6	43,789	2574.5	− 2552	22.5	× 150 / 1079	3.1
7	43,792	2605.9	− 2567	38.9	× 157 / 1079	5.7
8	43,793	2626.6	− 2586	40.6	× 180 / 1079	6.8
11	43,796	2653.0	− 2628	25	× 144 / 1079	3.3
Sum, rounded to a whole point						32

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,914	2483.0	− 2436	47	× 130 / 1032	5.9
4	43,915	2515.5	− 2485	30.5	× 154 / 1032	4.6
5	43,916	2547.8	− 2528	19.8	× 126 / 1032	2.4
6	43,917	2585.8	− 2552	33.8	× 173 / 1032	5.7
7	43,918	2597.0	− 2567	30	× 141 / 1032	4.1
8	43,919	2628.3	− 2586	42.3	× 157 / 1032	6.4
11	43,920	2652.5	− 2628	24.5	× 151 / 1032	3.6
Sum, rounded to a whole point						33

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,648	2477.9	− 2436	41.9	× 129 / 926	5.8
4	43,649	2509.4	− 2485	24.4	× 139 / 926	3.7
5	43,650	2528.4	− 2528	0.4	× 144 / 926	0.1
6	43,651	2548.1	− 2552	−3.9	× 133 / 926	−0.6
7	43,652	2574.1	− 2567	7.1	× 134 / 926	1
8	43,653	2591.1	− 2586	5.1	× 123 / 926	0.7
11	43,654	2639.1	− 2628	11.1	× 124 / 926	1.5
Sum, rounded to a whole point						12

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,640	2475.6	− 2436	39.6	× 138 / 916	6
4	43,641	2507.7	− 2485	22.7	× 133 / 916	3.3
5	43,642	2525.5	− 2528	−2.5	× 128 / 916	−0.3
6	43,643	2568.1	− 2552	16.1	× 150 / 916	2.6
7	43,644	2573.1	− 2567	6.1	× 138 / 916	0.9
8	43,645	2574.7	− 2586	−11.3	× 124 / 916	−1.5
11	43,646	2609.9	− 2628	−18.1	× 105 / 916	−2.1
Sum, rounded to a whole point						9

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,462	2477.7	− 2436	41.7	× 110 / 939	4.9
4	43,463	2508.6	− 2485	23.6	× 132 / 939	3.3
5	43,464	2525.3	− 2528	−2.7	× 134 / 939	−0.4
6	43,465	2551.1	− 2552	−0.9	× 137 / 939	−0.1
7	43,466	2584.3	− 2567	17.3	× 150 / 939	2.8
8	43,467	2578.1	− 2586	−7.9	× 138 / 939	−1.2
11	43,468	2672.9	− 2628	44.9	× 138 / 939	6.6
Sum, rounded to a whole point						16

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	43,211	2474.1	− 2436	38.1	× 133 / 895	5.7
4	43,212	2499.2	− 2485	14.2	× 111 / 895	1.8
5	43,213	2547.9	− 2528	19.9	× 133 / 895	3
6	43,214	2552.9	− 2552	0.9	× 136 / 895	0.1
7	43,215	2584.3	− 2567	17.3	× 142 / 895	2.7
8	43,216	2620.7	− 2586	34.7	× 141 / 895	5.5
11	43,217	2643.3	− 2628	15.3	× 99 / 895	1.7
Sum, rounded to a whole point						20

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. 5, 11, 20, 32, 33, 12, 9, 16, 20 → 17.6
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 6 · 2016→2017: 9 · 2017→2018: 12 · 2018→2019: 1 · 2019→2022: 21 · 2022→2023: 3 · 2023→2024: 7 · 2024→2025: 4 → average 7.9
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7.9 × 2.66 = 21. Upper limit 38.6, lower limit −3.4.

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.