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	339579	2375	-	2436	=	-61	*	(93	/	364)	=	-15.58516481
4	339580	2417	-	2485	=	-68	*	(91	/	364)	=	-17.0
5	339583	2420	-	2528	=	-108	*	(88	/	364)	=	-26.10989003
6	339584	2448	-	2552	=	-104	*	(92	/	364)	=	-26.28571421
Step 4	SUM Weighted Distance From Standard to get 2015 Difference From Standard for Ayer Elementary											-85

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	10122	2388	-	2436	=	-48	*	(88	/	370)	=	-11.41621618
4	10124	2434	-	2485	=	-51	*	(86	/	370)	=	-11.85405403
5	10125	2416	-	2528	=	-112	*	(95	/	370)	=	-28.75675667
6	10127	2425	-	2552	=	-127	*	(101	/	370)	=	-34.66756744
Step 4	SUM Weighted Distance From Standard to get 2016 Difference From Standard for Ayer Elementary											-87

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	10450	2388	-	2436	=	-48	*	(103	/	370)	=	-13.36216214
4	10451	2426	-	2485	=	-59	*	(82	/	370)	=	-13.07567564
5	10454	2428	-	2528	=	-100	*	(91	/	370)	=	-24.5945945
6	10456	2469	-	2552	=	-83	*	(94	/	370)	=	-21.08648648
Step 4	SUM Weighted Distance From Standard to get 2017 Difference From Standard for Ayer Elementary											-72

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	10461	2431	-	2436	=	-5	*	(84	/	359)	=	-1.16991643
4	10463	2427	-	2485	=	-58	*	(98	/	359)	=	-15.83286906
5	10465	2433	-	2528	=	-95	*	(82	/	359)	=	-21.69916432
6	10467	2477	-	2552	=	-75	*	(95	/	359)	=	-19.84679663
Step 4	SUM Weighted Distance From Standard to get 2018 Difference From Standard for Ayer Elementary											-59

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	10542	2422	-	2436	=	-14	*	(93	/	357)	=	-3.64705881
4	10543	2449	-	2485	=	-36	*	(84	/	357)	=	-8.47058821
5	10544	2423	-	2528	=	-105	*	(92	/	357)	=	-27.05882351
6	10545	2454	-	2552	=	-98	*	(88	/	357)	=	-24.1568627
Step 4	SUM Weighted Distance From Standard to get 2019 Difference From Standard for Ayer Elementary											-63

Last steps

Compute the average

2015	2016	2017	2018	2019	Sum	Average
-85	-87	-72	-59	-63	-366.0	-73.2

Compute the Upper Control Limit

Simply compute the standard deviation and multiply by 3 and add to the average: -37.2

Compute the Lower Control Limit

Simply compute the standard deviation and multiply by 3 and subtract from the average: -109.2

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	90%	91%	90%	91%	90%
Data source	2015 data file	2016 data file	2017 data file	2018 data file	2019 data file