Carlsbad 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	76,676	2475.4	− 2436	39.4	× 822 / 5655	5.7
4	76,679	2509.3	− 2485	24.3	× 789 / 5655	3.4
5	76,680	2552.2	− 2528	24.2	× 869 / 5655	3.7
6	76,683	2562.4	− 2552	10.4	× 879 / 5655	1.6
7	76,684	2575.7	− 2567	8.7	× 794 / 5655	1.2
8	76,687	2610.9	− 2586	24.9	× 824 / 5655	3.6
11	76,688	2626.0	− 2628	−2	× 678 / 5655	−0.2
Sum, rounded to a whole point						19

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	71,030	2482.9	− 2436	46.9	× 779 / 5766	6.3
4	71,032	2520.3	− 2485	35.3	× 852 / 5766	5.2
5	71,034	2555.3	− 2528	27.3	× 810 / 5766	3.8
6	71,036	2590.9	− 2552	38.9	× 901 / 5766	6.1
7	71,038	2585.3	− 2567	18.3	× 875 / 5766	2.8
8	71,041	2619.0	− 2586	33	× 802 / 5766	4.6
11	71,043	2637.6	− 2628	9.6	× 747 / 5766	1.2
Sum, rounded to a whole point						30

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	72,890	2479.8	− 2436	43.8	× 744 / 5893	5.5
4	72,892	2524.9	− 2485	39.9	× 798 / 5893	5.4
5	72,894	2567.5	− 2528	39.5	× 883 / 5893	5.9
6	72,895	2580.2	− 2552	28.2	× 819 / 5893	3.9
7	72,897	2598.1	− 2567	31.1	× 915 / 5893	4.8
8	72,899	2616.6	− 2586	30.6	× 877 / 5893	4.6
11	72,902	2619.4	− 2628	−8.6	× 857 / 5893	−1.3
Sum, rounded to a whole point						29

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,018	2487.0	− 2436	51	× 848 / 5960	7.3
4	73,020	2529.3	− 2485	44.3	× 763 / 5960	5.7
5	73,022	2569.7	− 2528	41.7	× 819 / 5960	5.7
6	73,024	2589.8	− 2552	37.8	× 933 / 5960	5.9
7	73,026	2587.0	− 2567	20	× 843 / 5960	2.8
8	73,028	2625.7	− 2586	39.7	× 930 / 5960	6.2
11	73,030	2626.8	− 2628	−1.2	× 824 / 5960	−0.2
Sum, rounded to a whole point						33

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,482	2488.8	− 2436	52.8	× 785 / 5832	7.1
4	73,483	2535.5	− 2485	50.5	× 856 / 5832	7.4
5	73,484	2575.1	− 2528	47.1	× 780 / 5832	6.3
6	73,485	2591.5	− 2552	39.5	× 845 / 5832	5.7
7	73,486	2600.5	− 2567	33.5	× 912 / 5832	5.2
8	73,487	2614.2	− 2586	28.2	× 840 / 5832	4.1
11	73,488	2637.4	− 2628	9.4	× 814 / 5832	1.3
Sum, rounded to a whole point						37

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,604	2488.6	− 2436	52.6	× 780 / 5615	7.3
4	73,605	2526.1	− 2485	41.1	× 764 / 5615	5.6
5	73,606	2560.0	− 2528	32	× 797 / 5615	4.5
6	73,607	2556.3	− 2552	4.3	× 793 / 5615	0.6
7	73,608	2567.9	− 2567	0.9	× 851 / 5615	0.1
8	73,609	2599.4	− 2586	13.4	× 776 / 5615	1.9
11	73,610	2609.1	− 2628	−18.9	× 854 / 5615	−2.9
Sum, rounded to a whole point						17

2023 from sb_ca2023_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,588	2492.3	− 2436	56.3	× 750 / 5730	7.4
4	73,589	2535.6	− 2485	50.6	× 801 / 5730	7.1
5	73,590	2559.2	− 2528	31.2	× 773 / 5730	4.2
6	73,591	2557.7	− 2552	5.7	× 806 / 5730	0.8
7	73,592	2577.2	− 2567	10.2	× 789 / 5730	1.4
8	73,593	2595.6	− 2586	9.6	× 858 / 5730	1.4
11	73,594	2628.4	− 2628	0.4	× 953 / 5730	0.1
Sum, rounded to a whole point						22

2024 from sb_ca2024_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,580	2494.3	− 2436	58.3	× 675 / 5385	7.3
4	73,581	2532.4	− 2485	47.4	× 774 / 5385	6.8
5	73,582	2565.0	− 2528	37	× 796 / 5385	5.5
6	73,583	2553.0	− 2552	1	× 748 / 5385	0.1
7	73,584	2566.5	− 2567	−0.5	× 797 / 5385	−0.1
8	73,585	2594.4	− 2586	8.4	× 737 / 5385	1.1
11	73,586	2616.8	− 2628	−11.2	× 858 / 5385	−1.8
Sum, rounded to a whole point						19

2025 from sb_ca2025_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	73,258	2488.9	− 2436	52.9	× 746 / 5426	7.3
4	73,259	2531.5	− 2485	46.5	× 698 / 5426	6
5	73,260	2565.3	− 2528	37.3	× 797 / 5426	5.5
6	73,261	2559.1	− 2552	7.1	× 792 / 5426	1
7	73,262	2560.5	− 2567	−6.5	× 775 / 5426	−0.9
8	73,263	2593.1	− 2586	7.1	× 797 / 5426	1
11	73,264	2630.4	− 2628	2.4	× 821 / 5426	0.4
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. 19, 30, 29, 33, 37, 17, 22, 19, 20 → 25.1
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 11 · 2016→2017: 1 · 2017→2018: 4 · 2018→2019: 4 · 2019→2022: 20 · 2022→2023: 5 · 2023→2024: 3 · 2024→2025: 1 → average 6.1
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 6.1 × 2.66 = 16.2. Upper limit 41.3, lower limit 8.9.

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 — 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.