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	73791	2338	-	2436	=	-98	*	(66	/	185)	=	-34.96216209
4	73794	2378	-	2485	=	-107	*	(61	/	185)	=	-35.281081
5	73795	2357	-	2528	=	-171	*	(58	/	185)	=	-53.61081072
Step 4	SUM Weighted Distance From Standard to get 2015 Difference From Standard for Reach Academy											-124

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	1979	2324	-	2436	=	-112	*	(61	/	173)	=	-39.49132947
4	1982	2374	-	2485	=	-111	*	(55	/	173)	=	-35.28901733
5	1983	2389	-	2528	=	-139	*	(57	/	173)	=	-45.79768775
Step 4	SUM Weighted Distance From Standard to get 2016 Difference From Standard for Reach Academy											-121

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	2038	2337	-	2436	=	-99	*	(59	/	176)	=	-33.18749993
4	2039	2363	-	2485	=	-122	*	(57	/	176)	=	-39.51136359
5	2042	2357	-	2528	=	-171	*	(60	/	176)	=	-58.29545439
Step 4	SUM Weighted Distance From Standard to get 2017 Difference From Standard for Reach Academy											-131

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	2048	2343	-	2436	=	-93	*	(62	/	178)	=	-32.39325836
4	2050	2392	-	2485	=	-93	*	(57	/	178)	=	-29.78089887
5	2052	2379	-	2528	=	-149	*	(59	/	178)	=	-49.38764043
Step 4	SUM Weighted Distance From Standard to get 2018 Difference From Standard for Reach Academy											-112

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	2057	2383	-	2436	=	-53	*	(65	/	187)	=	-18.42245985
4	2058	2365	-	2485	=	-120	*	(60	/	187)	=	-38.50267368
5	2059	2391	-	2528	=	-137	*	(62	/	187)	=	-45.42245987
Step 4	SUM Weighted Distance From Standard to get 2019 Difference From Standard for Reach Academy											-102

Last steps

Compute the average

2015	2016	2017	2018	2019	Sum	Average
-124	-121	-131	-112	-102	-590.0	-118.0

Compute the Upper Control Limit

Simply compute the standard deviation and multiply by 3 and add to the average: -85.0

Compute the Lower Control Limit

Simply compute the standard deviation and multiply by 3 and subtract from the average: -151.0

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	82%	86%	87%	83%	91%
Data source	2015 data file	2016 data file	2017 data file	2018 data file	2019 data file