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	1445358	2428	-	2436	=	-8	*	(59	/	204)	=	-2.31372549
4	1445359	2482	-	2485	=	-3	*	(67	/	204)	=	-0.98529412
5	1445362	2464	-	2528	=	-64	*	(78	/	204)	=	-24.47058822
Step 4	SUM Weighted Distance From Standard to get 2015 Difference From Standard for Marblehead Elementary											-28

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	45490	2428	-	2436	=	-8	*	(73	/	212)	=	-2.75471698
4	45493	2478	-	2485	=	-7	*	(64	/	212)	=	-2.11320754
5	45495	2519	-	2528	=	-9	*	(75	/	212)	=	-3.18396226
Step 4	SUM Weighted Distance From Standard to get 2016 Difference From Standard for Marblehead Elementary											-8

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	46701	2433	-	2436	=	-3	*	(56	/	188)	=	-0.89361702
4	46702	2459	-	2485	=	-26	*	(68	/	188)	=	-9.4042553
5	46704	2489	-	2528	=	-39	*	(64	/	188)	=	-13.27659571
Step 4	SUM Weighted Distance From Standard to get 2017 Difference From Standard for Marblehead Elementary											-24

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	46711	2441	-	2436	=	5	*	(47	/	177)	=	1.32768362
4	46712	2469	-	2485	=	-16	*	(53	/	177)	=	-4.79096045
5	46715	2472	-	2528	=	-56	*	(77	/	177)	=	-24.36158189
Step 4	SUM Weighted Distance From Standard to get 2018 Difference From Standard for Marblehead Elementary											-28

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	46889	2443	-	2436	=	7	*	(65	/	164)	=	2.77439024
4	46890	2490	-	2485	=	5	*	(42	/	164)	=	1.2804878
5	46891	2475	-	2528	=	-53	*	(57	/	164)	=	-18.42073168
Step 4	SUM Weighted Distance From Standard to get 2019 Difference From Standard for Marblehead Elementary											-14

Last steps

Compute the average

2015	2016	2017	2018	2019	Sum	Average
-28	-8	-24	-28	-14	-102.0	-20.4

Compute the Upper Control Limit

Simply compute the standard deviation and multiply by 3 and add to the average: 3.6

Compute the Lower Control Limit

Simply compute the standard deviation and multiply by 3 and subtract from the average: -44.4

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	43%	47%	53%	55%	52%
Data source	2015 data file	2016 data file	2017 data file	2018 data file	2019 data file