2015

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	1479985	2431	-	2436	=	-5	*	(86	/	349)	=	-1.23209169
4	1479986	2465	-	2485	=	-20	*	(84	/	349)	=	-4.81375358
5	1479989	2522	-	2528	=	-6	*	(83	/	349)	=	-1.42693409
6	1479990	2544	-	2552	=	-8	*	(96	/	349)	=	-2.20057306
Step 4	SUM Weighted Distance From Standard to get 2015 Difference From Standard for Stanford Elementary											-10

2016

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	46488	2440	-	2436	=	4	*	(83	/	321)	=	1.03426791
4	46490	2488	-	2485	=	3	*	(80	/	321)	=	0.74766355
5	46493	2498	-	2528	=	-30	*	(80	/	321)	=	-7.47663549
6	46494	2572	-	2552	=	20	*	(78	/	321)	=	4.85981308
Step 4	SUM Weighted Distance From Standard to get 2016 Difference From Standard for Stanford Elementary											-1

2017

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	47732	2443	-	2436	=	7	*	(76	/	317)	=	1.67823344
4	47735	2502	-	2485	=	17	*	(86	/	317)	=	4.61198738
5	47736	2531	-	2528	=	3	*	(78	/	317)	=	0.73817035
6	47739	2550	-	2552	=	-2	*	(77	/	317)	=	-0.48580442
Step 4	SUM Weighted Distance From Standard to get 2017 Difference From Standard for Stanford Elementary											7

2018

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	47737	2438	-	2436	=	2	*	(71	/	312)	=	0.4551282
4	47738	2502	-	2485	=	17	*	(77	/	312)	=	4.19551281
5	47741	2530	-	2528	=	2	*	(86	/	312)	=	0.55128205
6	47742	2585	-	2552	=	33	*	(78	/	312)	=	8.25
Step 4	SUM Weighted Distance From Standard to get 2018 Difference From Standard for Stanford Elementary											13

2019

Step 1				Step 2				Step 3
Get Mean Scale Score from line numbers in this data file.				Subtract 'met min' Scale Score. from Mean Scale Score to get Distance From Standard				Multiply Distance From Standard by proportion of students in grade.
Grade	Line number	Mean Scale Score	-	Scale Score: met min	=	Distance from standard	*	(Students tested in grade	/	Students) tested in school	=	Weighted Distance From Standard
3	47920	2446	-	2436	=	10	*	(79	/	333)	=	2.37237237
4	47921	2500	-	2485	=	15	*	(78	/	333)	=	3.51351351
5	47922	2534	-	2528	=	6	*	(86	/	333)	=	1.54954955
6	47923	2559	-	2552	=	7	*	(90	/	333)	=	1.89189189
Step 4	SUM Weighted Distance From Standard to get 2019 Difference From Standard for Stanford Elementary											9

Last steps

Compute the average

2015	2016	2017	2018	2019	Sum	Average
-10	-1	7	13	9	18.0	3.6

Compute the Upper Control Limit

Simply compute the standard deviation and multiply by 3 and add to the average: 30.6

Compute the Lower Control Limit

Simply compute the standard deviation and multiply by 3 and subtract from the average: -23.4

For the lines, you have the data necessary to plot the chart.

Very last step

The percent of students getting a Free or Reduced Price Meal comes from the following sources:

	2015	2016	2017	2018	2019
Percent	75%	70%	69%	75%	71%
Data source	2015 data file	2016 data file	2017 data file	2018 data file	2019 data file