Diamond Point 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 6.

3rd The average 3rd grader scores 29 points under the grade 3 bar. 2407 vs. 2436.
4th The average 4th grader scores 16 points under the grade 4 bar. 2469 vs. 2485.
5th The average 5th grader scores 19 points under the grade 4 bar. 2466 vs. 2485. The 5th-grade bar is 2528.
6th The average 6th grader scores 18 points under the grade 4 bar. 2467 vs. 2485. The 6th-grade bar is 2552.

2022 results. "Meets standard" is the state's mark for being on track for that grade.

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	36,686	2413.3	− 2436	−22.7	× 54 / 205	−6
4	36,687	2463.8	− 2485	−21.2	× 31 / 205	−3.2
5	36,690	2492.9	− 2528	−35.1	× 63 / 205	−10.8
6	36,691	2526.1	− 2552	−25.9	× 57 / 205	−7.2
Sum, rounded to a whole point						−27

2016 from sb_ca2016_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,171	2404.2	− 2436	−31.8	× 50 / 208	−7.6
4	34,173	2479.0	− 2485	−6	× 53 / 208	−1.5
5	34,175	2485.6	− 2528	−42.4	× 42 / 208	−8.6
6	34,177	2525.9	− 2552	−26.1	× 63 / 208	−7.9
Sum, rounded to a whole point						−26

2017 from sb_ca2017_1_csv_v2.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,783	2441.6	− 2436	5.6	× 52 / 194	1.5
4	34,784	2470.1	− 2485	−14.9	× 51 / 194	−3.9
5	34,787	2483.0	− 2528	−45	× 51 / 194	−11.8
6	34,788	2509.5	− 2552	−42.5	× 40 / 194	−8.8
Sum, rounded to a whole point						−23

2018 from sb_ca2018_1_csv_v3.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,792	2422.7	− 2436	−13.3	× 45 / 196	−3.1
4	34,794	2481.0	− 2485	−4	× 46 / 196	−0.9
5	34,796	2488.8	− 2528	−39.2	× 50 / 196	−10
6	34,798	2513.5	− 2552	−38.5	× 55 / 196	−10.8
Sum, rounded to a whole point						−25

2019 from sb_ca2019_1_csv_v4.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,968	2425.8	− 2436	−10.2	× 45 / 192	−2.4
4	34,969	2474.0	− 2485	−11	× 45 / 192	−2.6
5	34,970	2496.4	− 2528	−31.6	× 47 / 192	−7.7
6	34,971	2514.9	− 2552	−37.1	× 55 / 192	−10.6
Sum, rounded to a whole point						−23

2022 from sb_ca2022_1_csv_v1.zip

Grade	Line in file	Average score	Standard Met	Distance	Students	Weighted
3	34,865	2407.4	− 2436	−28.6	× 34 / 118	−8.2
4	34,866	2469.1	− 2485	−15.9	× 25 / 118	−3.4
5	34,867	2465.6	− 2528	−62.4	× 22 / 118	−11.6
6	34,868	2466.6	− 2552	−85.4	× 37 / 118	−26.8
Sum, rounded to a whole point						−50

Step 2 · The average and the normal range

Average: add the yearly results and divide by how many there are. −27, −26, −23, −25, −23, −50 → −29
Typical year-to-year change: how far the result moved from each year to the next, ignoring up or down. 2015→2016: 1 · 2016→2017: 3 · 2017→2018: 2 · 2018→2019: 2 · 2019→2022: 27 → average 7
Normal range: multiply the typical change by 2.66, then add it to the average and subtract it. 7 × 2.66 = 18.6. Upper limit −10.4, lower limit −47.6.

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.