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	2370564	2397	-	2436	=	-39	*	(48	/	251)	=	-7.4581673
4	2370565	2411	-	2485	=	-74	*	(58	/	251)	=	-17.09960158
5	2370568	2443	-	2528	=	-85	*	(45	/	251)	=	-15.23904378
6	2370569	2474	-	2552	=	-78	*	(34	/	251)	=	-10.56573703
7	2370572	2481	-	2567	=	-86	*	(35	/	251)	=	-11.99203187
8	2370573	2480	-	2586	=	-106	*	(31	/	251)	=	-13.09163346
Step 4	SUM Weighted Distance From Standard to get 2015 Difference From Standard for Revere (Paul) Elementary											-75

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	72414	2432	-	2436	=	-4	*	(54	/	286)	=	-0.75524475
4	72415	2380	-	2485	=	-105	*	(47	/	286)	=	-17.25524472
5	72418	2411	-	2528	=	-117	*	(56	/	286)	=	-22.90909082
6	72419	2418	-	2552	=	-134	*	(46	/	286)	=	-21.55244744
7	72421	2472	-	2567	=	-95	*	(42	/	286)	=	-13.95104887
8	72423	2512	-	2586	=	-74	*	(41	/	286)	=	-10.60839158
Step 4	SUM Weighted Distance From Standard to get 2016 Difference From Standard for Revere (Paul) 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	74388	2392	-	2436	=	-44	*	(57	/	289)	=	-8.67820065
4	74389	2385	-	2485	=	-100	*	(49	/	289)	=	-16.9550173
5	74391	2385	-	2528	=	-143	*	(47	/	289)	=	-23.25605525
6	74394	2399	-	2552	=	-153	*	(50	/	289)	=	-26.47058814
7	74395	2440	-	2567	=	-127	*	(45	/	289)	=	-19.77508643
8	74397	2444	-	2586	=	-142	*	(41	/	289)	=	-20.1453287
Step 4	SUM Weighted Distance From Standard to get 2017 Difference From Standard for Revere (Paul) Elementary											-115

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	74562	2368	-	2436	=	-68	*	(51	/	291)	=	-11.91752571
4	74563	2408	-	2485	=	-77	*	(55	/	291)	=	-14.55326457
5	74565	2398	-	2528	=	-130	*	(43	/	291)	=	-19.20962199
6	74568	2380	-	2552	=	-172	*	(48	/	291)	=	-28.37113392
7	74570	2422	-	2567	=	-145	*	(51	/	291)	=	-25.412371
8	74571	2425	-	2586	=	-161	*	(43	/	291)	=	-23.790378
Step 4	SUM Weighted Distance From Standard to get 2018 Difference From Standard for Revere (Paul) Elementary											-123

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	75090	2355	-	2436	=	-81	*	(59	/	312)	=	-15.31730768
4	75091	2403	-	2485	=	-82	*	(55	/	312)	=	-14.45512818
5	75092	2394	-	2528	=	-134	*	(53	/	312)	=	-22.7628204
6	75093	2390	-	2552	=	-162	*	(53	/	312)	=	-27.51923063
7	75094	2423	-	2567	=	-144	*	(42	/	312)	=	-19.3846153
8	75095	2389	-	2586	=	-197	*	(50	/	312)	=	-31.57051277
Step 4	SUM Weighted Distance From Standard to get 2019 Difference From Standard for Revere (Paul) Elementary											-131

Last steps

Compute the average

2015	2016	2017	2018	2019	Sum	Average
-75	-87	-115	-123	-131	-531.0	-106.2

Compute the Upper Control Limit

Simply compute the standard deviation and multiply by 3 and add to the average: -34.2

Compute the Lower Control Limit

Simply compute the standard deviation and multiply by 3 and subtract from the average: -178.2

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	86%	77%	71%	79%	83%
Data source	2015 data file	2016 data file	2017 data file	2018 data file	2019 data file